Pocock-type sequential boundaries for binary outcomes (version 1.0) (c) Bahjat Qaqish (2004) Defintions: K = the maximum planned sample size THETA = the event probability PHI = the desired probability of early stopping ALPHA = the pointwsie stopping probability (computed) This file contains a list of boundaries for: K from 2 to 32 THETA from 0.05 to 0.50 in steps of 0.05 PHI from 0.05 to 0.30 in steps of 0.05 ------------------------------------------------------ K = 2 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.05 ALPHA = 0.05 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0975 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 ------------------------------------------------------ K = 2 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.0975 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 ------------------------------------------------------ K = 2 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.0975 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 ------------------------------------------------------ K = 2 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.0975 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 ------------------------------------------------------ K = 2 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.0975 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 ------------------------------------------------------ K = 2 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.01 ALPHA = 0.01 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.1 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.1 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.19 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 ------------------------------------------------------ K = 2 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.19 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 ------------------------------------------------------ K = 2 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.19 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 ------------------------------------------------------ K = 2 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0225 ALPHA = 0.0225 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0225 ALPHA = 0.0225 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.15 ALPHA = 0.15 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.15 ALPHA = 0.15 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.15 ALPHA = 0.15 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.2775 ALPHA = 0.2775 The upper boundary b_1, ..., b_K: 1 1 ------------------------------------------------------ K = 2 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.04 ALPHA = 0.04 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.04 ALPHA = 0.04 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.04 ALPHA = 0.04 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.2 ALPHA = 0.2 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.2 ALPHA = 0.2 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.2 ALPHA = 0.2 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0625 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.0625 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.0625 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.25 ALPHA = 0.25 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.25 ALPHA = 0.25 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.09 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.09 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.09 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.09 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.3 ALPHA = 0.3 The upper boundary b_1, ..., b_K: 1 2 ------------------------------------------------------ K = 2 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.1225 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.1225 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.1225 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.1225 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.16 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.16 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.16 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.2025 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.2025 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 ------------------------------------------------------ K = 2 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.25 ALPHA = 0.25 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 2 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.25 ALPHA = 0.25 The upper boundary b_1, ..., b_K: 2 2 ------------------------------------------------------ K = 3 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.00725 ALPHA = 0.00725 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0975 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 ------------------------------------------------------ K = 3 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.142625 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 ------------------------------------------------------ K = 3 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.142625 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 ------------------------------------------------------ K = 3 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.142625 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 ------------------------------------------------------ K = 3 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.142625 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 ------------------------------------------------------ K = 3 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.028 ALPHA = 0.028 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.028 ALPHA = 0.028 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.109 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 ------------------------------------------------------ K = 3 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.19 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 ------------------------------------------------------ K = 3 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.19 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 ------------------------------------------------------ K = 3 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.271 ALPHA = 0.271 The upper boundary b_1, ..., b_K: 1 1 1 ------------------------------------------------------ K = 3 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0225 ALPHA = 0.0225 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.06075 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.06075 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.169125 ALPHA = 0.15 The upper boundary b_1, ..., b_K: 1 2 2 ------------------------------------------------------ K = 3 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.169125 ALPHA = 0.15 The upper boundary b_1, ..., b_K: 1 2 2 ------------------------------------------------------ K = 3 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.2775 ALPHA = 0.2775 The upper boundary b_1, ..., b_K: 1 1 2 ------------------------------------------------------ K = 3 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.04 ALPHA = 0.04 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.04 ALPHA = 0.04 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.104 ALPHA = 0.104 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.104 ALPHA = 0.104 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.232 ALPHA = 0.2 The upper boundary b_1, ..., b_K: 1 2 2 ------------------------------------------------------ K = 3 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.232 ALPHA = 0.2 The upper boundary b_1, ..., b_K: 1 2 2 ------------------------------------------------------ K = 3 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.015625 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0625 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.0625 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.15625 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.15625 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.296875 ALPHA = 0.25 The upper boundary b_1, ..., b_K: 1 2 2 ------------------------------------------------------ K = 3 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.027 ALPHA = 0.027 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.09 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.09 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.09 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.216 ALPHA = 0.216 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.216 ALPHA = 0.216 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.042875 ALPHA = 0.042875 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.042875 ALPHA = 0.042875 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.1225 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.1225 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.1225 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.28175 ALPHA = 0.28175 The upper boundary b_1, ..., b_K: 2 2 2 ------------------------------------------------------ K = 3 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 4 ------------------------------------------------------ K = 3 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.064 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.064 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.16 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.16 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.16 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 4 ------------------------------------------------------ K = 3 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.091125 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.091125 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.091125 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.2025 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.2025 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 4 ------------------------------------------------------ K = 3 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 4 ------------------------------------------------------ K = 3 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.125 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.125 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 ------------------------------------------------------ K = 3 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.25 ALPHA = 0.25 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 3 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.25 ALPHA = 0.25 The upper boundary b_1, ..., b_K: 2 2 3 ------------------------------------------------------ K = 4 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0140188 ALPHA = 0.0140188 The upper boundary b_1, ..., b_K: 2 2 2 2 ------------------------------------------------------ K = 4 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0997563 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 2 ------------------------------------------------------ K = 4 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.142625 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 2 ------------------------------------------------------ K = 4 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.185494 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 ------------------------------------------------------ K = 4 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.185494 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 ------------------------------------------------------ K = 4 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.185494 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 ------------------------------------------------------ K = 4 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.028 ALPHA = 0.028 The upper boundary b_1, ..., b_K: 2 2 2 3 ------------------------------------------------------ K = 4 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0523 ALPHA = 0.0523 The upper boundary b_1, ..., b_K: 2 2 2 2 ------------------------------------------------------ K = 4 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.1252 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 ------------------------------------------------------ K = 4 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.1981 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 2 ------------------------------------------------------ K = 4 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.1981 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 2 ------------------------------------------------------ K = 4 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.271 ALPHA = 0.271 The upper boundary b_1, ..., b_K: 1 1 1 2 ------------------------------------------------------ K = 4 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0282375 ALPHA = 0.0225 The upper boundary b_1, ..., b_K: 2 2 3 3 ------------------------------------------------------ K = 4 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.06075 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 3 ------------------------------------------------------ K = 4 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.109519 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 ------------------------------------------------------ K = 4 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.109519 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 ------------------------------------------------------ K = 4 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.201637 ALPHA = 0.15 The upper boundary b_1, ..., b_K: 1 2 2 2 ------------------------------------------------------ K = 4 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.293756 ALPHA = 0.2775 The upper boundary b_1, ..., b_K: 1 1 2 2 ------------------------------------------------------ K = 4 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0272 ALPHA = 0.0272 The upper boundary b_1, ..., b_K: 2 3 3 3 ------------------------------------------------------ K = 4 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0528 ALPHA = 0.04 The upper boundary b_1, ..., b_K: 2 2 3 3 ------------------------------------------------------ K = 4 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.104 ALPHA = 0.104 The upper boundary b_1, ..., b_K: 2 2 2 3 ------------------------------------------------------ K = 4 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.1808 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 ------------------------------------------------------ K = 4 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.1808 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 ------------------------------------------------------ K = 4 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.2832 ALPHA = 0.2 The upper boundary b_1, ..., b_K: 1 2 2 2 ------------------------------------------------------ K = 4 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.015625 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0859375 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 3 3 ------------------------------------------------------ K = 4 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.0859375 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 3 3 ------------------------------------------------------ K = 4 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.15625 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 ------------------------------------------------------ K = 4 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.15625 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 ------------------------------------------------------ K = 4 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.296875 ALPHA = 0.25 The upper boundary b_1, ..., b_K: 1 2 2 3 ------------------------------------------------------ K = 4 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.027 ALPHA = 0.027 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0837 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 ------------------------------------------------------ K = 4 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.1278 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 3 ------------------------------------------------------ K = 4 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.1278 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 3 ------------------------------------------------------ K = 4 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.216 ALPHA = 0.216 The upper boundary b_1, ..., b_K: 2 2 2 3 ------------------------------------------------------ K = 4 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.216 ALPHA = 0.216 The upper boundary b_1, ..., b_K: 2 2 2 3 ------------------------------------------------------ K = 4 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.042875 ALPHA = 0.042875 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.042875 ALPHA = 0.042875 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.1225 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 ------------------------------------------------------ K = 4 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.178237 ALPHA = 0.126481 The upper boundary b_1, ..., b_K: 2 2 3 3 ------------------------------------------------------ K = 4 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.178237 ALPHA = 0.126481 The upper boundary b_1, ..., b_K: 2 2 3 3 ------------------------------------------------------ K = 4 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.28175 ALPHA = 0.28175 The upper boundary b_1, ..., b_K: 2 2 2 3 ------------------------------------------------------ K = 4 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0256 ALPHA = 0.0256 The upper boundary b_1, ..., b_K: 2 3 4 4 ------------------------------------------------------ K = 4 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.064 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.064 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.16 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 4 ------------------------------------------------------ K = 4 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.2368 ALPHA = 0.1792 The upper boundary b_1, ..., b_K: 2 2 3 3 ------------------------------------------------------ K = 4 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.2368 ALPHA = 0.1792 The upper boundary b_1, ..., b_K: 2 2 3 3 ------------------------------------------------------ K = 4 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0410063 ALPHA = 0.0410063 The upper boundary b_1, ..., b_K: 2 3 4 4 ------------------------------------------------------ K = 4 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.091125 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.091125 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.091125 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.2025 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 3 4 ------------------------------------------------------ K = 4 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.2025 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 3 4 ------------------------------------------------------ K = 4 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0 ALPHA = 0 The upper boundary b_1, ..., b_K: 2 3 4 5 ------------------------------------------------------ K = 4 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0625 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 3 4 4 ------------------------------------------------------ K = 4 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.125 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.125 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 ------------------------------------------------------ K = 4 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.25 ALPHA = 0.25 The upper boundary b_1, ..., b_K: 2 2 3 4 ------------------------------------------------------ K = 4 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.25 ALPHA = 0.25 The upper boundary b_1, ..., b_K: 2 2 3 4 ------------------------------------------------------ K = 5 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0225925 ALPHA = 0.0225925 The upper boundary b_1, ..., b_K: 2 2 2 2 2 ------------------------------------------------------ K = 5 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0633178 ALPHA = 0.05 The upper boundary b_1, ..., b_K: 1 2 2 2 2 ------------------------------------------------------ K = 5 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.144768 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 2 2 ------------------------------------------------------ K = 5 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.185494 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 2 ------------------------------------------------------ K = 5 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.226219 ALPHA = 0.226219 The upper boundary b_1, ..., b_K: 1 1 1 1 1 ------------------------------------------------------ K = 5 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.226219 ALPHA = 0.226219 The upper boundary b_1, ..., b_K: 1 1 1 1 1 ------------------------------------------------------ K = 5 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.03043 ALPHA = 0.028 The upper boundary b_1, ..., b_K: 2 2 2 3 3 ------------------------------------------------------ K = 5 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.08146 ALPHA = 0.08146 The upper boundary b_1, ..., b_K: 2 2 2 2 2 ------------------------------------------------------ K = 5 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.14707 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 ------------------------------------------------------ K = 5 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.14707 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 ------------------------------------------------------ K = 5 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.21268 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 2 2 ------------------------------------------------------ K = 5 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.27829 ALPHA = 0.271 The upper boundary b_1, ..., b_K: 1 1 1 2 2 ------------------------------------------------------ K = 5 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0404297 ALPHA = 0.0266119 The upper boundary b_1, ..., b_K: 2 2 3 3 3 ------------------------------------------------------ K = 5 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0680653 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 3 3 ------------------------------------------------------ K = 5 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.109519 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 ------------------------------------------------------ K = 5 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.109519 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 ------------------------------------------------------ K = 5 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.243091 ALPHA = 0.16479 The upper boundary b_1, ..., b_K: 1 2 2 2 2 ------------------------------------------------------ K = 5 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.243091 ALPHA = 0.16479 The upper boundary b_1, ..., b_K: 1 2 2 2 2 ------------------------------------------------------ K = 5 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0272 ALPHA = 0.0272 The upper boundary b_1, ..., b_K: 2 3 3 3 4 ------------------------------------------------------ K = 5 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0784 ALPHA = 0.05792 The upper boundary b_1, ..., b_K: 2 2 3 3 3 ------------------------------------------------------ K = 5 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.11936 ALPHA = 0.104 The upper boundary b_1, ..., b_K: 2 2 2 3 3 ------------------------------------------------------ K = 5 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.1808 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 ------------------------------------------------------ K = 5 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.1808 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 ------------------------------------------------------ K = 5 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.2832 ALPHA = 0.2 The upper boundary b_1, ..., b_K: 1 2 2 2 3 ------------------------------------------------------ K = 5 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0244141 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 3 4 4 ------------------------------------------------------ K = 5 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0859375 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 3 3 4 ------------------------------------------------------ K = 5 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.129883 ALPHA = 0.103516 The upper boundary b_1, ..., b_K: 2 2 3 3 3 ------------------------------------------------------ K = 5 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.182617 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 3 ------------------------------------------------------ K = 5 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.182617 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 3 ------------------------------------------------------ K = 5 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.182617 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 3 ------------------------------------------------------ K = 5 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.04401 ALPHA = 0.03078 The upper boundary b_1, ..., b_K: 2 3 3 4 4 ------------------------------------------------------ K = 5 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0837 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 ------------------------------------------------------ K = 5 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.1278 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 3 4 ------------------------------------------------------ K = 5 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.19395 ALPHA = 0.16308 The upper boundary b_1, ..., b_K: 2 2 3 3 3 ------------------------------------------------------ K = 5 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.19395 ALPHA = 0.16308 The upper boundary b_1, ..., b_K: 2 2 3 3 3 ------------------------------------------------------ K = 5 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.25569 ALPHA = 0.216 The upper boundary b_1, ..., b_K: 2 2 2 3 3 ------------------------------------------------------ K = 5 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.042875 ALPHA = 0.042875 The upper boundary b_1, ..., b_K: 2 3 3 4 5 ------------------------------------------------------ K = 5 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0721372 ALPHA = 0.0540225 The upper boundary b_1, ..., b_K: 2 3 3 4 4 ------------------------------------------------------ K = 5 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.142008 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 4 ------------------------------------------------------ K = 5 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.178237 ALPHA = 0.126481 The upper boundary b_1, ..., b_K: 2 2 3 3 4 ------------------------------------------------------ K = 5 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.178237 ALPHA = 0.126481 The upper boundary b_1, ..., b_K: 2 2 3 3 4 ------------------------------------------------------ K = 5 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.268811 ALPHA = 0.235169 The upper boundary b_1, ..., b_K: 2 2 3 3 3 ------------------------------------------------------ K = 5 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0256 ALPHA = 0.0256 The upper boundary b_1, ..., b_K: 2 3 4 4 5 ------------------------------------------------------ K = 5 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.064 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 4 5 ------------------------------------------------------ K = 5 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.11008 ALPHA = 0.08704 The upper boundary b_1, ..., b_K: 2 3 3 4 4 ------------------------------------------------------ K = 5 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.19072 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 4 4 ------------------------------------------------------ K = 5 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.2368 ALPHA = 0.1792 The upper boundary b_1, ..., b_K: 2 2 3 3 4 ------------------------------------------------------ K = 5 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.2368 ALPHA = 0.1792 The upper boundary b_1, ..., b_K: 2 2 3 3 4 ------------------------------------------------------ K = 5 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0410063 ALPHA = 0.0410063 The upper boundary b_1, ..., b_K: 2 3 4 4 5 ------------------------------------------------------ K = 5 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.091125 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 ------------------------------------------------------ K = 5 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.091125 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 ------------------------------------------------------ K = 5 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.158785 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 ------------------------------------------------------ K = 5 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.247607 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 3 4 4 ------------------------------------------------------ K = 5 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.247607 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 3 4 4 ------------------------------------------------------ K = 5 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.03125 ALPHA = 0.03125 The upper boundary b_1, ..., b_K: 2 3 4 5 5 ------------------------------------------------------ K = 5 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0625 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 3 4 4 5 ------------------------------------------------------ K = 5 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.125 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 ------------------------------------------------------ K = 5 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.125 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 ------------------------------------------------------ K = 5 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.21875 ALPHA = 0.1875 The upper boundary b_1, ..., b_K: 2 3 3 4 4 ------------------------------------------------------ K = 5 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.21875 ALPHA = 0.1875 The upper boundary b_1, ..., b_K: 2 3 3 4 4 ------------------------------------------------------ K = 6 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0327738 ALPHA = 0.0327738 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 ------------------------------------------------------ K = 6 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0714629 ALPHA = 0.05 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 ------------------------------------------------------ K = 6 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.148841 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 ------------------------------------------------------ K = 6 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.18753 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 ------------------------------------------------------ K = 6 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.226219 ALPHA = 0.226219 The upper boundary b_1, ..., b_K: 1 1 1 1 1 2 ------------------------------------------------------ K = 6 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.264908 ALPHA = 0.264908 The upper boundary b_1, ..., b_K: 1 1 1 1 1 1 ------------------------------------------------------ K = 6 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.035533 ALPHA = 0.028 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 ------------------------------------------------------ K = 6 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.08146 ALPHA = 0.08146 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 ------------------------------------------------------ K = 6 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.14707 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 ------------------------------------------------------ K = 6 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.173314 ALPHA = 0.114265 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 ------------------------------------------------------ K = 6 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.232363 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 ------------------------------------------------------ K = 6 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.291412 ALPHA = 0.271 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 ------------------------------------------------------ K = 6 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0404297 ALPHA = 0.0266119 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 ------------------------------------------------------ K = 6 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.082574 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 ------------------------------------------------------ K = 6 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.117809 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 ------------------------------------------------------ K = 6 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.117809 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 ------------------------------------------------------ K = 6 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.243091 ALPHA = 0.16479 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 ------------------------------------------------------ K = 6 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.290071 ALPHA = 0.223516 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 ------------------------------------------------------ K = 6 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.033344 ALPHA = 0.0272 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 ------------------------------------------------------ K = 6 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0784 ALPHA = 0.05792 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 ------------------------------------------------------ K = 6 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.148032 ALPHA = 0.104 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 ------------------------------------------------------ K = 6 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.197184 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 ------------------------------------------------------ K = 6 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.197184 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 ------------------------------------------------------ K = 6 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.295488 ALPHA = 0.2 The upper boundary b_1, ..., b_K: 1 2 2 2 3 3 ------------------------------------------------------ K = 6 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0441895 ALPHA = 0.0375977 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 ------------------------------------------------------ K = 6 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0969238 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 ------------------------------------------------------ K = 6 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.129883 ALPHA = 0.103516 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 ------------------------------------------------------ K = 6 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.182617 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 ------------------------------------------------------ K = 6 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.22876 ALPHA = 0.169434 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 ------------------------------------------------------ K = 6 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.22876 ALPHA = 0.169434 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 ------------------------------------------------------ K = 6 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.04401 ALPHA = 0.03078 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 ------------------------------------------------------ K = 6 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.079731 ALPHA = 0.07047 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 ------------------------------------------------------ K = 6 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.147645 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 ------------------------------------------------------ K = 6 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.19395 ALPHA = 0.16308 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 ------------------------------------------------------ K = 6 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.19395 ALPHA = 0.16308 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 ------------------------------------------------------ K = 6 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.25569 ALPHA = 0.216 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 ------------------------------------------------------ K = 6 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0286619 ALPHA = 0.0223218 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 ------------------------------------------------------ K = 6 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0721372 ALPHA = 0.0540225 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 ------------------------------------------------------ K = 6 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.129198 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 ------------------------------------------------------ K = 6 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.186389 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 4 4 ------------------------------------------------------ K = 6 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.209938 ALPHA = 0.126481 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 ------------------------------------------------------ K = 6 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.268811 ALPHA = 0.235169 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 ------------------------------------------------------ K = 6 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0256 ALPHA = 0.0256 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 ------------------------------------------------------ K = 6 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.082432 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 ------------------------------------------------------ K = 6 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.11008 ALPHA = 0.08704 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 ------------------------------------------------------ K = 6 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.19072 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 ------------------------------------------------------ K = 6 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.19072 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 ------------------------------------------------------ K = 6 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.28288 ALPHA = 0.1792 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 ------------------------------------------------------ K = 6 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0410063 ALPHA = 0.0410063 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 ------------------------------------------------------ K = 6 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0816024 ALPHA = 0.069198 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 ------------------------------------------------------ K = 6 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.121572 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 ------------------------------------------------------ K = 6 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.158785 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 ------------------------------------------------------ K = 6 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.247607 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 ------------------------------------------------------ K = 6 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.247607 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 ------------------------------------------------------ K = 6 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.03125 ALPHA = 0.03125 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 ------------------------------------------------------ K = 6 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0625 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 ------------------------------------------------------ K = 6 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.125 ALPHA = 0.109375 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 ------------------------------------------------------ K = 6 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.171875 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 ------------------------------------------------------ K = 6 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.21875 ALPHA = 0.1875 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 ------------------------------------------------------ K = 6 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.21875 ALPHA = 0.1875 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 ------------------------------------------------------ K = 7 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0443805 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 ------------------------------------------------------ K = 7 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0811351 ALPHA = 0.05 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 ------------------------------------------------------ K = 7 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.11789 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 ------------------------------------------------------ K = 7 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.191399 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 ------------------------------------------------------ K = 7 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.228154 ALPHA = 0.226219 The upper boundary b_1, ..., b_K: 1 1 1 1 1 2 2 ------------------------------------------------------ K = 7 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.264908 ALPHA = 0.264908 The upper boundary b_1, ..., b_K: 1 1 1 1 1 1 2 ------------------------------------------------------ K = 7 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0434062 ALPHA = 0.028 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 ------------------------------------------------------ K = 7 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0847405 ALPHA = 0.08146 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 ------------------------------------------------------ K = 7 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.149694 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 ------------------------------------------------------ K = 7 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.173314 ALPHA = 0.114265 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 ------------------------------------------------------ K = 7 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.202839 ALPHA = 0.149694 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 ------------------------------------------------------ K = 7 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.255983 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 ------------------------------------------------------ K = 7 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0432278 ALPHA = 0.0266119 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 ------------------------------------------------------ K = 7 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.082574 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 ------------------------------------------------------ K = 7 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.133665 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 ------------------------------------------------------ K = 7 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.133665 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 ------------------------------------------------------ K = 7 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.220188 ALPHA = 0.15 The upper boundary b_1, ..., b_K: 1 2 2 2 3 3 3 ------------------------------------------------------ K = 7 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.290071 ALPHA = 0.223516 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 ------------------------------------------------------ K = 7 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0464512 ALPHA = 0.033344 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 ------------------------------------------------------ K = 7 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0857728 ALPHA = 0.05792 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 ------------------------------------------------------ K = 7 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.148032 ALPHA = 0.104 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 ------------------------------------------------------ K = 7 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.187354 ALPHA = 0.148032 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 ------------------------------------------------------ K = 7 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.226675 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 ------------------------------------------------------ K = 7 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.226675 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 ------------------------------------------------------ K = 7 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0441895 ALPHA = 0.0375977 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 ------------------------------------------------------ K = 7 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0969238 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 ------------------------------------------------------ K = 7 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.144714 ALPHA = 0.103516 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 ------------------------------------------------------ K = 7 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.194153 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 ------------------------------------------------------ K = 7 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.22876 ALPHA = 0.169434 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 ------------------------------------------------------ K = 7 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.288086 ALPHA = 0.243591 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 ------------------------------------------------------ K = 7 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0463914 ALPHA = 0.0287955 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 5 ------------------------------------------------------ K = 7 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.079731 ALPHA = 0.07047 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 ------------------------------------------------------ K = 7 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.147645 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 ------------------------------------------------------ K = 7 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.186541 ALPHA = 0.126036 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 ------------------------------------------------------ K = 7 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.218955 ALPHA = 0.16308 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 ------------------------------------------------------ K = 7 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.275138 ALPHA = 0.216 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 ------------------------------------------------------ K = 7 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0286619 ALPHA = 0.0223218 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 ------------------------------------------------------ K = 7 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0921086 ALPHA = 0.0556075 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 ------------------------------------------------------ K = 7 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.129198 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 ------------------------------------------------------ K = 7 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.186389 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 4 4 5 ------------------------------------------------------ K = 7 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.209938 ALPHA = 0.126481 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 ------------------------------------------------------ K = 7 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.267633 ALPHA = 0.199846 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 ------------------------------------------------------ K = 7 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0354304 ALPHA = 0.0256 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 ------------------------------------------------------ K = 7 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.082432 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 ------------------------------------------------------ K = 7 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.143258 ALPHA = 0.096256 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 ------------------------------------------------------ K = 7 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.143258 ALPHA = 0.096256 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 ------------------------------------------------------ K = 7 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.216525 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 ------------------------------------------------------ K = 7 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.28288 ALPHA = 0.1792 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 ------------------------------------------------------ K = 7 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0412882 ALPHA = 0.0357062 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 ------------------------------------------------------ K = 7 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0816024 ALPHA = 0.069198 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 ------------------------------------------------------ K = 7 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.121572 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 ------------------------------------------------------ K = 7 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.158785 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 ------------------------------------------------------ K = 7 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.209023 ALPHA = 0.152928 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 ------------------------------------------------------ K = 7 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.286681 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 ------------------------------------------------------ K = 7 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.03125 ALPHA = 0.03125 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 ------------------------------------------------------ K = 7 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.09375 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 ------------------------------------------------------ K = 7 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.125 ALPHA = 0.109375 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 ------------------------------------------------------ K = 7 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.171875 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 ------------------------------------------------------ K = 7 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.21875 ALPHA = 0.1875 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 ------------------------------------------------------ K = 7 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.289062 ALPHA = 0.226562 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 ------------------------------------------------------ K = 8 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0443805 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 ------------------------------------------------------ K = 8 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0921615 ALPHA = 0.0572447 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 ------------------------------------------------------ K = 8 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.127078 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 ------------------------------------------------------ K = 8 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.196912 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 ------------------------------------------------------ K = 8 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.231829 ALPHA = 0.226219 The upper boundary b_1, ..., b_K: 1 1 1 1 1 2 2 2 ------------------------------------------------------ K = 8 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.266746 ALPHA = 0.264908 The upper boundary b_1, ..., b_K: 1 1 1 1 1 1 2 2 ------------------------------------------------------ K = 8 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0434062 ALPHA = 0.028 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 ------------------------------------------------------ K = 8 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0912359 ALPHA = 0.08146 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 8 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.0912359 ALPHA = 0.08146 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 8 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.176266 ALPHA = 0.114265 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 ------------------------------------------------------ K = 8 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.234725 ALPHA = 0.186895 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 ------------------------------------------------------ K = 8 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.282555 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 ------------------------------------------------------ K = 8 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0493059 ALPHA = 0.0266119 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 ------------------------------------------------------ K = 8 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0857452 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 ------------------------------------------------------ K = 8 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.13067 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 8 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.156128 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 ------------------------------------------------------ K = 8 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.238158 ALPHA = 0.15 The upper boundary b_1, ..., b_K: 1 2 2 2 3 3 3 3 ------------------------------------------------------ K = 8 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.297559 ALPHA = 0.223516 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 ------------------------------------------------------ K = 8 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0464512 ALPHA = 0.033344 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 ------------------------------------------------------ K = 8 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0877389 ALPHA = 0.0562816 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 ------------------------------------------------------ K = 8 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.124439 ALPHA = 0.09888 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 ------------------------------------------------------ K = 8 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.187354 ALPHA = 0.148032 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 ------------------------------------------------------ K = 8 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.226675 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 4 ------------------------------------------------------ K = 8 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.226675 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 4 ------------------------------------------------------ K = 8 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0408936 ALPHA = 0.027298 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 ------------------------------------------------------ K = 8 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0705566 ALPHA = 0.0507813 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 ------------------------------------------------------ K = 8 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.144714 ALPHA = 0.103516 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 ------------------------------------------------------ K = 8 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.173141 ALPHA = 0.113815 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 ------------------------------------------------------ K = 8 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.243591 ALPHA = 0.169434 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 ------------------------------------------------------ K = 8 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.288086 ALPHA = 0.243591 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 ------------------------------------------------------ K = 8 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0463914 ALPHA = 0.0287955 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 5 6 ------------------------------------------------------ K = 8 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0955673 ALPHA = 0.07047 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 ------------------------------------------------------ K = 8 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.12085 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 ------------------------------------------------------ K = 8 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.186541 ALPHA = 0.126036 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 ------------------------------------------------------ K = 8 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.218955 ALPHA = 0.16308 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 ------------------------------------------------------ K = 8 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.263685 ALPHA = 0.194104 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 ------------------------------------------------------ K = 8 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0395353 ALPHA = 0.0253175 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 ------------------------------------------------------ K = 8 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0921086 ALPHA = 0.0556075 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 ------------------------------------------------------ K = 8 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.132495 ALPHA = 0.106091 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 ------------------------------------------------------ K = 8 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.156604 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 ------------------------------------------------------ K = 8 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.230132 ALPHA = 0.126481 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 ------------------------------------------------------ K = 8 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.267633 ALPHA = 0.199846 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 ------------------------------------------------------ K = 8 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0354304 ALPHA = 0.0256 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 ------------------------------------------------------ K = 8 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0708198 ALPHA = 0.0498074 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 ------------------------------------------------------ K = 8 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.143258 ALPHA = 0.096256 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 ------------------------------------------------------ K = 8 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.143258 ALPHA = 0.096256 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 ------------------------------------------------------ K = 8 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.216525 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 6 ------------------------------------------------------ K = 8 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.267397 ALPHA = 0.17367 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 5 ------------------------------------------------------ K = 8 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0412882 ALPHA = 0.0357062 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 ------------------------------------------------------ K = 8 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0816024 ALPHA = 0.069198 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 ------------------------------------------------------ K = 8 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.116769 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 ------------------------------------------------------ K = 8 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.181392 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 ------------------------------------------------------ K = 8 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.209023 ALPHA = 0.152928 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 ------------------------------------------------------ K = 8 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.286681 ALPHA = 0.2025 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 6 ------------------------------------------------------ K = 8 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.03125 ALPHA = 0.03125 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 8 ------------------------------------------------------ K = 8 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.09375 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 ------------------------------------------------------ K = 8 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.125 ALPHA = 0.109375 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 ------------------------------------------------------ K = 8 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.171875 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 ------------------------------------------------------ K = 8 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.21875 ALPHA = 0.144531 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 ------------------------------------------------------ K = 8 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.289062 ALPHA = 0.226562 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 ------------------------------------------------------ K = 9 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0450237 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 ------------------------------------------------------ K = 9 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0921615 ALPHA = 0.0572447 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 ------------------------------------------------------ K = 9 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.137553 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 ------------------------------------------------------ K = 9 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.170724 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 ------------------------------------------------------ K = 9 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.237067 ALPHA = 0.226219 The upper boundary b_1, ..., b_K: 1 1 1 1 1 2 2 2 2 ------------------------------------------------------ K = 9 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.270238 ALPHA = 0.264908 The upper boundary b_1, ..., b_K: 1 1 1 1 1 1 2 2 2 ------------------------------------------------------ K = 9 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0444691 ALPHA = 0.028 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 ------------------------------------------------------ K = 9 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.08167 ALPHA = 0.0529721 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 9 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.100802 ALPHA = 0.08146 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 ------------------------------------------------------ K = 9 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.182112 ALPHA = 0.114265 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 9 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.234725 ALPHA = 0.186895 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 ------------------------------------------------------ K = 9 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.282555 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 3 ------------------------------------------------------ K = 9 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0493059 ALPHA = 0.0266119 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 ------------------------------------------------------ K = 9 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.092484 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 ------------------------------------------------------ K = 9 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.13067 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 ------------------------------------------------------ K = 9 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.184131 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 9 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.184131 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 9 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.282709 ALPHA = 0.16479 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 ------------------------------------------------------ K = 9 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0421258 ALPHA = 0.0272 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 ------------------------------------------------------ K = 9 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0877389 ALPHA = 0.0562816 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 ------------------------------------------------------ K = 9 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.142265 ALPHA = 0.09888 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 ------------------------------------------------------ K = 9 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.196791 ALPHA = 0.148032 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 ------------------------------------------------------ K = 9 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.23454 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 4 4 ------------------------------------------------------ K = 9 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.23454 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 4 4 ------------------------------------------------------ K = 9 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0408936 ALPHA = 0.027298 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 ------------------------------------------------------ K = 9 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0850792 ALPHA = 0.0507813 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 ------------------------------------------------------ K = 9 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.128647 ALPHA = 0.0705566 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 ------------------------------------------------------ K = 9 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.173141 ALPHA = 0.113815 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 ------------------------------------------------------ K = 9 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.217636 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 4 5 ------------------------------------------------------ K = 9 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.2714 ALPHA = 0.169434 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 ------------------------------------------------------ K = 9 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0471415 ALPHA = 0.027 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 6 ------------------------------------------------------ K = 9 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0955673 ALPHA = 0.07047 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 ------------------------------------------------------ K = 9 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.12085 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 ------------------------------------------------------ K = 9 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.183818 ALPHA = 0.0988087 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 ------------------------------------------------------ K = 9 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.232374 ALPHA = 0.16308 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 ------------------------------------------------------ K = 9 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.263685 ALPHA = 0.194104 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 ------------------------------------------------------ K = 9 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0395353 ALPHA = 0.0253175 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 ------------------------------------------------------ K = 9 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.097806 ALPHA = 0.0540225 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 6 ------------------------------------------------------ K = 9 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.132495 ALPHA = 0.106091 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 ------------------------------------------------------ K = 9 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.156604 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 ------------------------------------------------------ K = 9 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.230132 ALPHA = 0.126481 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 ------------------------------------------------------ K = 9 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.293885 ALPHA = 0.199846 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 ------------------------------------------------------ K = 9 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0460472 ALPHA = 0.0256 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 ------------------------------------------------------ K = 9 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0708198 ALPHA = 0.0498074 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 ------------------------------------------------------ K = 9 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.143258 ALPHA = 0.096256 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 ------------------------------------------------------ K = 9 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.16803 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 ------------------------------------------------------ K = 9 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.236874 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 6 6 ------------------------------------------------------ K = 9 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.267397 ALPHA = 0.17367 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 5 6 ------------------------------------------------------ K = 9 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0412882 ALPHA = 0.0357062 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 ------------------------------------------------------ K = 9 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0974273 ALPHA = 0.069198 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 ------------------------------------------------------ K = 9 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.116769 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 ------------------------------------------------------ K = 9 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.181392 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 ------------------------------------------------------ K = 9 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.247706 ALPHA = 0.165822 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 ------------------------------------------------------ K = 9 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.247706 ALPHA = 0.165822 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 ------------------------------------------------------ K = 9 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0410156 ALPHA = 0.03125 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 8 8 ------------------------------------------------------ K = 9 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.09375 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 ------------------------------------------------------ K = 9 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.128906 ALPHA = 0.0898438 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 ------------------------------------------------------ K = 9 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.195312 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 ------------------------------------------------------ K = 9 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.21875 ALPHA = 0.144531 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 ------------------------------------------------------ K = 9 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.289062 ALPHA = 0.226562 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 ------------------------------------------------------ K = 10 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0463331 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 10 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0927726 ALPHA = 0.0572447 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 ------------------------------------------------------ K = 10 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.149163 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 10 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.180676 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 ------------------------------------------------------ K = 10 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.243701 ALPHA = 0.226219 The upper boundary b_1, ..., b_K: 1 1 1 1 1 2 2 2 2 2 ------------------------------------------------------ K = 10 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.275213 ALPHA = 0.264908 The upper boundary b_1, ..., b_K: 1 1 1 1 1 1 2 2 2 2 ------------------------------------------------------ K = 10 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0467543 ALPHA = 0.028 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 ------------------------------------------------------ K = 10 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0960189 ALPHA = 0.0701908 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 ------------------------------------------------------ K = 10 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.113238 ALPHA = 0.08146 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 10 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.190722 ALPHA = 0.114265 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 ------------------------------------------------------ K = 10 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.238073 ALPHA = 0.186895 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 ------------------------------------------------------ K = 10 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.285424 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 3 3 ------------------------------------------------------ K = 10 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0434357 ALPHA = 0.0225 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 ------------------------------------------------------ K = 10 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0820676 ALPHA = 0.0499698 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 10 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.135444 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 ------------------------------------------------------ K = 10 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.184131 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 ------------------------------------------------------ K = 10 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.184131 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 ------------------------------------------------------ K = 10 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.282709 ALPHA = 0.16479 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 4 ------------------------------------------------------ K = 10 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0421258 ALPHA = 0.0272 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 ------------------------------------------------------ K = 10 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.092772 ALPHA = 0.0562816 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 ------------------------------------------------------ K = 10 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.142265 ALPHA = 0.09888 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 ------------------------------------------------------ K = 10 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.194694 ALPHA = 0.120874 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 ------------------------------------------------------ K = 10 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.214826 ALPHA = 0.148032 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 ------------------------------------------------------ K = 10 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.250058 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 4 4 4 ------------------------------------------------------ K = 10 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0456829 ALPHA = 0.027298 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 ------------------------------------------------------ K = 10 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0850792 ALPHA = 0.0507813 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 ------------------------------------------------------ K = 10 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.146259 ALPHA = 0.0781269 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 ------------------------------------------------------ K = 10 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.183106 ALPHA = 0.113815 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 ------------------------------------------------------ K = 10 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.226211 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 4 5 5 ------------------------------------------------------ K = 10 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.2714 ALPHA = 0.169434 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 ------------------------------------------------------ K = 10 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0471415 ALPHA = 0.027 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 6 7 ------------------------------------------------------ K = 10 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0889161 ALPHA = 0.0579676 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 ------------------------------------------------------ K = 10 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.129076 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 ------------------------------------------------------ K = 10 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.183818 ALPHA = 0.0988087 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 ------------------------------------------------------ K = 10 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.233917 ALPHA = 0.150268 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 ------------------------------------------------------ K = 10 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.281247 ALPHA = 0.194104 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 ------------------------------------------------------ K = 10 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0480165 ALPHA = 0.0260243 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 ------------------------------------------------------ K = 10 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.097806 ALPHA = 0.0540225 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 6 7 ------------------------------------------------------ K = 10 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.135777 ALPHA = 0.0949341 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 ------------------------------------------------------ K = 10 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.173995 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 ------------------------------------------------------ K = 10 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.243914 ALPHA = 0.126481 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 ------------------------------------------------------ K = 10 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.293885 ALPHA = 0.199846 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 ------------------------------------------------------ K = 10 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0460472 ALPHA = 0.0256 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 ------------------------------------------------------ K = 10 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0878068 ALPHA = 0.0547619 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 ------------------------------------------------------ K = 10 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.136445 ALPHA = 0.08704 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 ------------------------------------------------------ K = 10 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.16803 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 ------------------------------------------------------ K = 10 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.236874 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 6 6 7 ------------------------------------------------------ K = 10 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.295532 ALPHA = 0.17367 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 5 6 6 ------------------------------------------------------ K = 10 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0414452 ALPHA = 0.0273918 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 ------------------------------------------------------ K = 10 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0974273 ALPHA = 0.069198 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 ------------------------------------------------------ K = 10 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.116769 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 ------------------------------------------------------ K = 10 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.178448 ALPHA = 0.101995 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 ------------------------------------------------------ K = 10 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.247706 ALPHA = 0.165822 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 ------------------------------------------------------ K = 10 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.247706 ALPHA = 0.165822 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 ------------------------------------------------------ K = 10 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0410156 ALPHA = 0.03125 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 8 8 9 ------------------------------------------------------ K = 10 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0751953 ALPHA = 0.0546875 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 ------------------------------------------------------ K = 10 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.128906 ALPHA = 0.0898438 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 ------------------------------------------------------ K = 10 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.195312 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 ------------------------------------------------------ K = 10 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.21875 ALPHA = 0.144531 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 ------------------------------------------------------ K = 10 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.290039 ALPHA = 0.1875 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 ------------------------------------------------------ K = 11 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0483234 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 ------------------------------------------------------ K = 11 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0940165 ALPHA = 0.0572447 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 11 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.149163 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 3 ------------------------------------------------------ K = 11 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.191705 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 11 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.221642 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 ------------------------------------------------------ K = 11 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.281516 ALPHA = 0.264908 The upper boundary b_1, ..., b_K: 1 1 1 1 1 1 2 2 2 2 2 ------------------------------------------------------ K = 11 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0391972 ALPHA = 0.0256915 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 11 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0960189 ALPHA = 0.0701908 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 4 ------------------------------------------------------ K = 11 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.128304 ALPHA = 0.0895619 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 ------------------------------------------------------ K = 11 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.186417 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 ------------------------------------------------------ K = 11 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.24453 ALPHA = 0.186895 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 11 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.291021 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 11 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0469584 ALPHA = 0.0225 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 5 ------------------------------------------------------ K = 11 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0820676 ALPHA = 0.0499698 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 ------------------------------------------------------ K = 11 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.144857 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 11 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.189 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 ------------------------------------------------------ K = 11 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.189 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 ------------------------------------------------------ K = 11 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.286279 ALPHA = 0.16479 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 4 4 ------------------------------------------------------ K = 11 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.044202 ALPHA = 0.0272 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 ------------------------------------------------------ K = 11 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0936948 ALPHA = 0.0504096 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 5 ------------------------------------------------------ K = 11 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.147382 ALPHA = 0.09888 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 ------------------------------------------------------ K = 11 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.194694 ALPHA = 0.120874 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 ------------------------------------------------------ K = 11 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.240328 ALPHA = 0.161139 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 11 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.27254 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 4 4 4 4 ------------------------------------------------------ K = 11 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0456829 ALPHA = 0.027298 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 ------------------------------------------------------ K = 11 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0908148 ALPHA = 0.0507813 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 ------------------------------------------------------ K = 11 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.146259 ALPHA = 0.0781269 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 ------------------------------------------------------ K = 11 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.183106 ALPHA = 0.113815 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 6 ------------------------------------------------------ K = 11 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.243418 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 4 5 5 5 ------------------------------------------------------ K = 11 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.28096 ALPHA = 0.169434 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 ------------------------------------------------------ K = 11 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0380509 ALPHA = 0.0252948 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 6 7 7 ------------------------------------------------------ K = 11 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0889161 ALPHA = 0.0579676 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 ------------------------------------------------------ K = 11 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.146965 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 ------------------------------------------------------ K = 11 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.194846 ALPHA = 0.0988087 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 ------------------------------------------------------ K = 11 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.233917 ALPHA = 0.150268 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 ------------------------------------------------------ K = 11 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.281247 ALPHA = 0.194104 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 6 ------------------------------------------------------ K = 11 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0480165 ALPHA = 0.0260243 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 ------------------------------------------------------ K = 11 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0965484 ALPHA = 0.0535882 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 6 7 7 ------------------------------------------------------ K = 11 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.135777 ALPHA = 0.0949341 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 ------------------------------------------------------ K = 11 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.173995 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 ------------------------------------------------------ K = 11 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.243914 ALPHA = 0.126481 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 7 ------------------------------------------------------ K = 11 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.288705 ALPHA = 0.171719 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 ------------------------------------------------------ K = 11 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0460472 ALPHA = 0.0256 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 ------------------------------------------------------ K = 11 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0878068 ALPHA = 0.0547619 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 ------------------------------------------------------ K = 11 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.136445 ALPHA = 0.08704 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 ------------------------------------------------------ K = 11 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.187141 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 ------------------------------------------------------ K = 11 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.187141 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 ------------------------------------------------------ K = 11 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.295532 ALPHA = 0.17367 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 5 6 6 7 ------------------------------------------------------ K = 11 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0414452 ALPHA = 0.0273918 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 ------------------------------------------------------ K = 11 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0992042 ALPHA = 0.0609632 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 ------------------------------------------------------ K = 11 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.130197 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 ------------------------------------------------------ K = 11 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.178448 ALPHA = 0.101995 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 ------------------------------------------------------ K = 11 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.247706 ALPHA = 0.165822 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 8 ------------------------------------------------------ K = 11 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.27848 ALPHA = 0.1738 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 ------------------------------------------------------ K = 11 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0410156 ALPHA = 0.03125 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 8 8 9 10 ------------------------------------------------------ K = 11 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0751953 ALPHA = 0.0546875 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 ------------------------------------------------------ K = 11 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.128906 ALPHA = 0.0898438 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 ------------------------------------------------------ K = 11 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.182617 ALPHA = 0.113281 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 ------------------------------------------------------ K = 11 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.239746 ALPHA = 0.144531 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 ------------------------------------------------------ K = 11 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.290039 ALPHA = 0.1875 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 ------------------------------------------------------ K = 12 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0420209 ALPHA = 0.0327738 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 3 3 3 3 3 3 ------------------------------------------------------ K = 12 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0959072 ALPHA = 0.0572447 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 ------------------------------------------------------ K = 12 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.149794 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 3 3 ------------------------------------------------------ K = 12 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.17524 ALPHA = 0.11836 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 12 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.23212 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 12 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.289 ALPHA = 0.264908 The upper boundary b_1, ..., b_K: 1 1 1 1 1 1 2 2 2 2 2 2 ------------------------------------------------------ K = 12 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0446211 ALPHA = 0.0256915 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 12 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0976977 ALPHA = 0.0701908 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 12 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.128304 ALPHA = 0.0895619 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 ------------------------------------------------------ K = 12 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.186417 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 4 ------------------------------------------------------ K = 12 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.232907 ALPHA = 0.149694 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 12 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.299156 ALPHA = 0.19 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 3 3 3 3 ------------------------------------------------------ K = 12 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0469584 ALPHA = 0.0225 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 5 6 ------------------------------------------------------ K = 12 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0844046 ALPHA = 0.0499698 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 ------------------------------------------------------ K = 12 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.144581 ALPHA = 0.0922063 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 12 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.198519 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 12 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.198519 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 12 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.293453 ALPHA = 0.16479 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 4 4 4 ------------------------------------------------------ K = 12 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488661 ALPHA = 0.0272 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 ------------------------------------------------------ K = 12 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0936948 ALPHA = 0.0504096 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 5 6 ------------------------------------------------------ K = 12 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.141007 ALPHA = 0.0856417 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 ------------------------------------------------------ K = 12 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.185835 ALPHA = 0.104 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 5 ------------------------------------------------------ K = 12 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.240328 ALPHA = 0.161139 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 ------------------------------------------------------ K = 12 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.27254 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 4 4 4 4 5 ------------------------------------------------------ K = 12 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0482755 ALPHA = 0.027298 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 ------------------------------------------------------ K = 12 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0908148 ALPHA = 0.0507813 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 7 ------------------------------------------------------ K = 12 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.142914 ALPHA = 0.0705566 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 ------------------------------------------------------ K = 12 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.188016 ALPHA = 0.113815 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 6 6 ------------------------------------------------------ K = 12 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.243418 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 4 5 5 5 6 ------------------------------------------------------ K = 12 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.299601 ALPHA = 0.169434 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 5 ------------------------------------------------------ K = 12 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0380509 ALPHA = 0.0252948 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 6 7 7 8 ------------------------------------------------------ K = 12 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0954955 ALPHA = 0.0579676 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 ------------------------------------------------------ K = 12 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.146965 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 ------------------------------------------------------ K = 12 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.194846 ALPHA = 0.0988087 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 7 ------------------------------------------------------ K = 12 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.246867 ALPHA = 0.150268 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 ------------------------------------------------------ K = 12 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.290939 ALPHA = 0.194104 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 6 6 ------------------------------------------------------ K = 12 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0425037 ALPHA = 0.0253175 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 ------------------------------------------------------ K = 12 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0965484 ALPHA = 0.0535882 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 6 7 7 8 ------------------------------------------------------ K = 12 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.138752 ALPHA = 0.0846321 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 ------------------------------------------------------ K = 12 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.186014 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 ------------------------------------------------------ K = 12 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.235162 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 4 4 5 5 6 6 7 7 ------------------------------------------------------ K = 12 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.288705 ALPHA = 0.171719 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 7 ------------------------------------------------------ K = 12 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0385712 ALPHA = 0.0250348 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 7 8 9 9 ------------------------------------------------------ K = 12 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0878068 ALPHA = 0.0547619 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 9 ------------------------------------------------------ K = 12 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.147996 ALPHA = 0.08704 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 ------------------------------------------------------ K = 12 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.187141 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 ------------------------------------------------------ K = 12 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.224979 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 ------------------------------------------------------ K = 12 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.285499 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 6 6 7 7 7 ------------------------------------------------------ K = 12 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0414452 ALPHA = 0.0273918 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 ------------------------------------------------------ K = 12 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0992042 ALPHA = 0.0609632 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 ------------------------------------------------------ K = 12 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.130197 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 ------------------------------------------------------ K = 12 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.178448 ALPHA = 0.101995 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 9 ------------------------------------------------------ K = 12 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.244587 ALPHA = 0.152928 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 ------------------------------------------------------ K = 12 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.27848 ALPHA = 0.1738 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 ------------------------------------------------------ K = 12 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0483398 ALPHA = 0.03125 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 8 8 9 10 10 ------------------------------------------------------ K = 12 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0751953 ALPHA = 0.0546875 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 ------------------------------------------------------ K = 12 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.145996 ALPHA = 0.0898438 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 ------------------------------------------------------ K = 12 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.182617 ALPHA = 0.113281 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 ------------------------------------------------------ K = 12 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.239746 ALPHA = 0.144531 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 ------------------------------------------------------ K = 12 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.290039 ALPHA = 0.1875 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 9 ------------------------------------------------------ K = 13 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0458378 ALPHA = 0.0327738 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 3 3 3 3 3 3 3 ------------------------------------------------------ K = 13 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0984519 ALPHA = 0.0572447 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 13 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.119782 ALPHA = 0.0861384 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 13 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.18946 ALPHA = 0.135424 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 13 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.243496 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 13 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.297532 ALPHA = 0.264908 The upper boundary b_1, ..., b_K: 1 1 1 1 1 1 2 2 2 2 2 2 2 ------------------------------------------------------ K = 13 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0446211 ALPHA = 0.0256915 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 3 4 4 4 4 4 5 ------------------------------------------------------ K = 13 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0906466 ALPHA = 0.0529721 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 13 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.130047 ALPHA = 0.0895619 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 13 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.187928 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 13 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.246855 ALPHA = 0.149694 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 ------------------------------------------------------ K = 13 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.265683 ALPHA = 0.186895 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 13 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0478092 ALPHA = 0.0225 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 5 6 6 ------------------------------------------------------ K = 13 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.089288 ALPHA = 0.0499698 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 ------------------------------------------------------ K = 13 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.144581 ALPHA = 0.0922063 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 5 ------------------------------------------------------ K = 13 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.197737 ALPHA = 0.118003 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 13 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.212355 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 13 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.284854 ALPHA = 0.15 The upper boundary b_1, ..., b_K: 1 2 2 2 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 13 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488661 ALPHA = 0.0272 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 ------------------------------------------------------ K = 13 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0971979 ALPHA = 0.0504096 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 5 6 6 ------------------------------------------------------ K = 13 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.141007 ALPHA = 0.0856417 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 ------------------------------------------------------ K = 13 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.173863 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 ------------------------------------------------------ K = 13 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.246663 ALPHA = 0.161139 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 ------------------------------------------------------ K = 13 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.278231 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 4 4 4 4 5 5 ------------------------------------------------------ K = 13 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488621 ALPHA = 0.0242901 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 7 ------------------------------------------------------ K = 13 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0938347 ALPHA = 0.0507813 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 7 7 ------------------------------------------------------ K = 13 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.142914 ALPHA = 0.0705566 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 ------------------------------------------------------ K = 13 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.198803 ALPHA = 0.113815 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 6 6 6 ------------------------------------------------------ K = 13 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.24974 ALPHA = 0.15625 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 4 5 5 5 6 6 ------------------------------------------------------ K = 13 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.299601 ALPHA = 0.169434 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 5 6 ------------------------------------------------------ K = 13 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0420096 ALPHA = 0.0252948 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 6 7 7 8 8 ------------------------------------------------------ K = 13 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0954955 ALPHA = 0.0579676 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 ------------------------------------------------------ K = 13 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.133627 ALPHA = 0.0782248 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 ------------------------------------------------------ K = 13 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.19048 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 ------------------------------------------------------ K = 13 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.246867 ALPHA = 0.150268 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 7 ------------------------------------------------------ K = 13 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.293627 ALPHA = 0.165397 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 ------------------------------------------------------ K = 13 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0455004 ALPHA = 0.0253175 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 ------------------------------------------------------ K = 13 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0972794 ALPHA = 0.0501427 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 7 8 8 ------------------------------------------------------ K = 13 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.138752 ALPHA = 0.0846321 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 ------------------------------------------------------ K = 13 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.186014 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 ------------------------------------------------------ K = 13 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.235162 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 4 4 5 5 6 6 7 7 8 ------------------------------------------------------ K = 13 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.28648 ALPHA = 0.148684 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 ------------------------------------------------------ K = 13 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0385712 ALPHA = 0.0250348 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 7 8 9 9 10 ------------------------------------------------------ K = 13 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0934125 ALPHA = 0.0547619 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 9 9 ------------------------------------------------------ K = 13 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.147996 ALPHA = 0.08704 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 ------------------------------------------------------ K = 13 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.195396 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 8 8 8 ------------------------------------------------------ K = 13 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.224979 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 ------------------------------------------------------ K = 13 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.285499 ALPHA = 0.16 The upper boundary b_1, ..., b_K: 2 2 3 4 4 5 5 6 6 7 7 7 8 ------------------------------------------------------ K = 13 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0473936 ALPHA = 0.0273918 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 ------------------------------------------------------ K = 13 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0992042 ALPHA = 0.0609632 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 10 ------------------------------------------------------ K = 13 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.144946 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 ------------------------------------------------------ K = 13 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.188903 ALPHA = 0.101995 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 9 9 ------------------------------------------------------ K = 13 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.244587 ALPHA = 0.152928 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 9 ------------------------------------------------------ K = 13 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.27848 ALPHA = 0.1738 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 9 ------------------------------------------------------ K = 13 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0483398 ALPHA = 0.03125 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 8 8 9 10 10 11 ------------------------------------------------------ K = 13 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0880127 ALPHA = 0.0546875 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 ------------------------------------------------------ K = 13 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.145996 ALPHA = 0.0898438 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 ------------------------------------------------------ K = 13 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.182617 ALPHA = 0.113281 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 ------------------------------------------------------ K = 13 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.248779 ALPHA = 0.133423 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 8 9 9 ------------------------------------------------------ K = 13 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.279175 ALPHA = 0.171875 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 9 9 ------------------------------------------------------ K = 14 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0435626 ALPHA = 0.0300536 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 14 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.093546 ALPHA = 0.05 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 3 ------------------------------------------------------ K = 14 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.121915 ALPHA = 0.0861384 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 3 ------------------------------------------------------ K = 14 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.18946 ALPHA = 0.135424 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 ------------------------------------------------------ K = 14 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.229987 ALPHA = 0.152986 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 14 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.281321 ALPHA = 0.226219 The upper boundary b_1, ..., b_K: 1 1 1 1 1 2 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 14 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0453184 ALPHA = 0.0256915 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 3 4 4 4 4 4 5 5 ------------------------------------------------------ K = 14 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0968531 ALPHA = 0.0529721 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 14 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.133569 ALPHA = 0.0895619 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 14 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.190996 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 14 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.246855 ALPHA = 0.149694 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 4 ------------------------------------------------------ K = 14 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.279805 ALPHA = 0.186895 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 3 3 ------------------------------------------------------ K = 14 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0497336 ALPHA = 0.0225 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 5 6 6 6 ------------------------------------------------------ K = 14 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.096851 ALPHA = 0.0499698 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 14 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.147571 ALPHA = 0.0922063 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 5 5 ------------------------------------------------------ K = 14 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.197737 ALPHA = 0.118003 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 4 5 ------------------------------------------------------ K = 14 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.230096 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 14 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.230096 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 14 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0400319 ALPHA = 0.0195814 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 6 7 7 ------------------------------------------------------ K = 14 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.097971 ALPHA = 0.0438544 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 6 ------------------------------------------------------ K = 14 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.144485 ALPHA = 0.0856417 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 6 ------------------------------------------------------ K = 14 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.173863 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 ------------------------------------------------------ K = 14 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.245976 ALPHA = 0.148032 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 5 5 5 5 ------------------------------------------------------ K = 14 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.289441 ALPHA = 0.1808 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 4 4 4 4 5 5 5 ------------------------------------------------------ K = 14 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488621 ALPHA = 0.0242901 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 7 8 ------------------------------------------------------ K = 14 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0852965 ALPHA = 0.0489273 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 7 7 7 ------------------------------------------------------ K = 14 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.146889 ALPHA = 0.0705566 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 ------------------------------------------------------ K = 14 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.185312 ALPHA = 0.103516 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 7 ------------------------------------------------------ K = 14 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.224149 ALPHA = 0.114626 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 ------------------------------------------------------ K = 14 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.290362 ALPHA = 0.165726 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 4 4 5 5 5 6 6 ------------------------------------------------------ K = 14 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0420096 ALPHA = 0.0252948 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 6 7 7 8 8 9 ------------------------------------------------------ K = 14 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0998027 ALPHA = 0.0579676 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 ------------------------------------------------------ K = 14 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.133627 ALPHA = 0.0782248 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 ------------------------------------------------------ K = 14 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.19048 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 8 ------------------------------------------------------ K = 14 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.240448 ALPHA = 0.126036 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 ------------------------------------------------------ K = 14 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.293627 ALPHA = 0.165397 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 7 ------------------------------------------------------ K = 14 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479503 ALPHA = 0.0243434 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 9 ------------------------------------------------------ K = 14 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0972794 ALPHA = 0.0501427 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 7 8 8 9 ------------------------------------------------------ K = 14 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.141341 ALPHA = 0.0753446 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 ------------------------------------------------------ K = 14 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.194727 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 ------------------------------------------------------ K = 14 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.242924 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 4 4 5 5 6 6 7 7 8 8 ------------------------------------------------------ K = 14 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.28648 ALPHA = 0.148684 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 8 ------------------------------------------------------ K = 14 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0433276 ALPHA = 0.0250348 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 7 8 9 9 10 10 ------------------------------------------------------ K = 14 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0934125 ALPHA = 0.0547619 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 9 9 10 ------------------------------------------------------ K = 14 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.138973 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 ------------------------------------------------------ K = 14 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.195396 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 8 8 8 9 ------------------------------------------------------ K = 14 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.246505 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 ------------------------------------------------------ K = 14 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.246505 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 ------------------------------------------------------ K = 14 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0473936 ALPHA = 0.0273918 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 ------------------------------------------------------ K = 14 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0987468 ALPHA = 0.0497728 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 ------------------------------------------------------ K = 14 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.144946 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 ------------------------------------------------------ K = 14 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.188903 ALPHA = 0.101995 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 9 9 10 ------------------------------------------------------ K = 14 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.243905 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 ------------------------------------------------------ K = 14 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.28979 ALPHA = 0.1738 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 9 9 ------------------------------------------------------ K = 14 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0465088 ALPHA = 0.0286865 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 10 10 11 11 ------------------------------------------------------ K = 14 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0880127 ALPHA = 0.0546875 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 ------------------------------------------------------ K = 14 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.132812 ALPHA = 0.072998 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 ------------------------------------------------------ K = 14 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.197327 ALPHA = 0.113281 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 ------------------------------------------------------ K = 14 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.248779 ALPHA = 0.133423 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 8 9 9 10 ------------------------------------------------------ K = 14 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.279175 ALPHA = 0.171875 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 9 9 10 ------------------------------------------------------ K = 15 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0435626 ALPHA = 0.0300536 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 ------------------------------------------------------ K = 15 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0978013 ALPHA = 0.05 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 15 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.124752 ALPHA = 0.0861384 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 15 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.190203 ALPHA = 0.135424 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 ------------------------------------------------------ K = 15 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.244104 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 15 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.292871 ALPHA = 0.226219 The upper boundary b_1, ..., b_K: 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 15 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0468003 ALPHA = 0.0256915 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 ------------------------------------------------------ K = 15 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0968531 ALPHA = 0.0529721 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 ------------------------------------------------------ K = 15 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.138872 ALPHA = 0.0895619 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 15 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.195641 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 15 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.248455 ALPHA = 0.149694 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 15 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.295903 ALPHA = 0.186895 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 ------------------------------------------------------ K = 15 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0392021 ALPHA = 0.0213525 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 ------------------------------------------------------ K = 15 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.096851 ALPHA = 0.0499698 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 ------------------------------------------------------ K = 15 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.143599 ALPHA = 0.0737652 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 15 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.188866 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 ------------------------------------------------------ K = 15 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.230096 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 ------------------------------------------------------ K = 15 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.230096 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 ------------------------------------------------------ K = 15 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0436654 ALPHA = 0.0195814 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 ------------------------------------------------------ K = 15 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.097971 ALPHA = 0.0438544 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 6 7 ------------------------------------------------------ K = 15 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.141453 ALPHA = 0.0725555 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 ------------------------------------------------------ K = 15 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.178081 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 ------------------------------------------------------ K = 15 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.245976 ALPHA = 0.148032 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 ------------------------------------------------------ K = 15 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.276934 ALPHA = 0.164234 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 15 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0478397 ALPHA = 0.0197277 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 8 ------------------------------------------------------ K = 15 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0852965 ALPHA = 0.0489273 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8 ------------------------------------------------------ K = 15 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.14538 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 7 ------------------------------------------------------ K = 15 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.189998 ALPHA = 0.103516 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 7 7 ------------------------------------------------------ K = 15 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.245322 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 ------------------------------------------------------ K = 15 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.292396 ALPHA = 0.157644 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 4 5 5 5 5 6 6 6 ------------------------------------------------------ K = 15 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0447166 ALPHA = 0.0252948 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 6 7 7 8 8 9 9 ------------------------------------------------------ K = 15 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0898287 ALPHA = 0.047349 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 9 ------------------------------------------------------ K = 15 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.139106 ALPHA = 0.0782248 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 ------------------------------------------------------ K = 15 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.195175 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 8 8 ------------------------------------------------------ K = 15 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.240448 ALPHA = 0.126036 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 8 ------------------------------------------------------ K = 15 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.292206 ALPHA = 0.16308 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 7 7 7 ------------------------------------------------------ K = 15 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479503 ALPHA = 0.0243434 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 9 10 ------------------------------------------------------ K = 15 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0979175 ALPHA = 0.0462011 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 8 9 9 ------------------------------------------------------ K = 15 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.141341 ALPHA = 0.0753446 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 ------------------------------------------------------ K = 15 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.195705 ALPHA = 0.113231 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 ------------------------------------------------------ K = 15 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.213361 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 ------------------------------------------------------ K = 15 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.296073 ALPHA = 0.148684 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 8 8 ------------------------------------------------------ K = 15 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0433276 ALPHA = 0.0250348 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 7 8 9 9 10 10 11 ------------------------------------------------------ K = 15 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0994218 ALPHA = 0.0547619 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 9 9 10 10 ------------------------------------------------------ K = 15 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.138973 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 ------------------------------------------------------ K = 15 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.192008 ALPHA = 0.096256 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 9 9 9 ------------------------------------------------------ K = 15 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.246505 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 ------------------------------------------------------ K = 15 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.246505 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 ------------------------------------------------------ K = 15 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.049808 ALPHA = 0.0254659 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 10 11 11 ------------------------------------------------------ K = 15 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0987468 ALPHA = 0.0497728 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 ------------------------------------------------------ K = 15 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.146934 ALPHA = 0.0769287 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 ------------------------------------------------------ K = 15 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.190322 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 ------------------------------------------------------ K = 15 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.243905 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 ------------------------------------------------------ K = 15 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.28979 ALPHA = 0.1738 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 9 9 10 ------------------------------------------------------ K = 15 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0465088 ALPHA = 0.0286865 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 10 10 11 11 12 ------------------------------------------------------ K = 15 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0880127 ALPHA = 0.0546875 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 12 ------------------------------------------------------ K = 15 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.144012 ALPHA = 0.072998 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11 ------------------------------------------------------ K = 15 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.197327 ALPHA = 0.113281 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 ------------------------------------------------------ K = 15 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.248779 ALPHA = 0.133423 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 8 9 9 10 11 ------------------------------------------------------ K = 15 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.299957 ALPHA = 0.171875 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 9 9 10 10 ------------------------------------------------------ K = 16 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0438362 ALPHA = 0.0300536 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 16 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0685408 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 16 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.128281 ALPHA = 0.0861384 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 ------------------------------------------------------ K = 16 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.191679 ALPHA = 0.135424 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 16 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.244104 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 ------------------------------------------------------ K = 16 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.281899 ALPHA = 0.18924 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 16 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0491445 ALPHA = 0.0256915 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 16 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0976376 ALPHA = 0.0529721 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 ------------------------------------------------------ K = 16 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.145933 ALPHA = 0.0895619 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 16 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.145933 ALPHA = 0.0895619 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 16 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.236424 ALPHA = 0.133883 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 16 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.295903 ALPHA = 0.186895 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 ------------------------------------------------------ K = 16 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0392021 ALPHA = 0.0213525 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 ------------------------------------------------------ K = 16 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0983961 ALPHA = 0.0499698 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 ------------------------------------------------------ K = 16 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.143599 ALPHA = 0.0737652 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 ------------------------------------------------------ K = 16 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.196643 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 16 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.233272 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 ------------------------------------------------------ K = 16 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.233272 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 ------------------------------------------------------ K = 16 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0496234 ALPHA = 0.0266573 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 ------------------------------------------------------ K = 16 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0947789 ALPHA = 0.04 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 ------------------------------------------------------ K = 16 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.141453 ALPHA = 0.0725555 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 7 ------------------------------------------------------ K = 16 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.186609 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 ------------------------------------------------------ K = 16 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.233915 ALPHA = 0.12984 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 ------------------------------------------------------ K = 16 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.276934 ALPHA = 0.164234 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 ------------------------------------------------------ K = 16 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0478397 ALPHA = 0.0197277 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 ------------------------------------------------------ K = 16 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0883379 ALPHA = 0.0489273 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8 8 ------------------------------------------------------ K = 16 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.14538 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 7 8 ------------------------------------------------------ K = 16 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.199746 ALPHA = 0.103516 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 ------------------------------------------------------ K = 16 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.245322 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 ------------------------------------------------------ K = 16 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.292396 ALPHA = 0.157644 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 4 5 5 5 5 6 6 6 7 ------------------------------------------------------ K = 16 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0447166 ALPHA = 0.0252948 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 6 7 7 8 8 9 9 10 ------------------------------------------------------ K = 16 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0929961 ALPHA = 0.047349 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 9 9 ------------------------------------------------------ K = 16 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.143495 ALPHA = 0.0743516 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 7 8 8 8 ------------------------------------------------------ K = 16 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.171651 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 ------------------------------------------------------ K = 16 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.245709 ALPHA = 0.126036 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 ------------------------------------------------------ K = 16 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.292206 ALPHA = 0.16308 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 7 7 7 8 ------------------------------------------------------ K = 16 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0495315 ALPHA = 0.0228559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 10 ------------------------------------------------------ K = 16 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0979175 ALPHA = 0.0462011 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 8 9 9 10 ------------------------------------------------------ K = 16 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.143551 ALPHA = 0.0670569 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 9 ------------------------------------------------------ K = 16 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.195705 ALPHA = 0.113231 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 ------------------------------------------------------ K = 16 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.213361 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 ------------------------------------------------------ K = 16 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.296073 ALPHA = 0.148684 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 8 8 9 ------------------------------------------------------ K = 16 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479784 ALPHA = 0.0250348 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 7 8 9 9 10 10 11 11 ------------------------------------------------------ K = 16 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0994218 ALPHA = 0.0547619 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 9 9 10 10 11 ------------------------------------------------------ K = 16 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.148121 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 ------------------------------------------------------ K = 16 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.192008 ALPHA = 0.096256 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 9 9 9 10 ------------------------------------------------------ K = 16 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.239704 ALPHA = 0.14227 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 9 ------------------------------------------------------ K = 16 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.262165 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 ------------------------------------------------------ K = 16 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.049808 ALPHA = 0.0254659 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 10 11 11 12 ------------------------------------------------------ K = 16 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0909441 ALPHA = 0.0426201 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 10 11 12 ------------------------------------------------------ K = 16 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.146934 ALPHA = 0.0769287 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 ------------------------------------------------------ K = 16 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.190322 ALPHA = 0.091125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 ------------------------------------------------------ K = 16 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.239491 ALPHA = 0.124103 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 ------------------------------------------------------ K = 16 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.290223 ALPHA = 0.165822 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 8 8 9 9 10 10 ------------------------------------------------------ K = 16 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0465088 ALPHA = 0.0286865 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 10 10 11 11 12 13 ------------------------------------------------------ K = 16 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0959473 ALPHA = 0.0546875 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 12 12 ------------------------------------------------------ K = 16 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.144012 ALPHA = 0.072998 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11 12 ------------------------------------------------------ K = 16 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.186951 ALPHA = 0.105057 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 ------------------------------------------------------ K = 16 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.214783 ALPHA = 0.113281 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 ------------------------------------------------------ K = 16 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.299957 ALPHA = 0.171875 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 9 9 10 10 11 ------------------------------------------------------ K = 17 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0444009 ALPHA = 0.0300536 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 17 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0685408 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 ------------------------------------------------------ K = 17 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.132487 ALPHA = 0.0861384 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 ------------------------------------------------------ K = 17 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.193873 ALPHA = 0.135424 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 ------------------------------------------------------ K = 17 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.244835 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 ------------------------------------------------------ K = 17 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.295797 ALPHA = 0.207772 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 ------------------------------------------------------ K = 17 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0474358 ALPHA = 0.0256375 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 ------------------------------------------------------ K = 17 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0992898 ALPHA = 0.0529721 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 ------------------------------------------------------ K = 17 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.146696 ALPHA = 0.0826406 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 ------------------------------------------------------ K = 17 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.154703 ALPHA = 0.0895619 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 ------------------------------------------------------ K = 17 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.241634 ALPHA = 0.133883 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 17 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.297682 ALPHA = 0.186895 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 17 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0399384 ALPHA = 0.0213525 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 ------------------------------------------------------ K = 17 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0959528 ALPHA = 0.0473386 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 ------------------------------------------------------ K = 17 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.145179 ALPHA = 0.0737652 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 ------------------------------------------------------ K = 17 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.18634 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 ------------------------------------------------------ K = 17 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.239591 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 ------------------------------------------------------ K = 17 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.239591 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 ------------------------------------------------------ K = 17 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0496234 ALPHA = 0.0266573 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 ------------------------------------------------------ K = 17 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0806653 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 ------------------------------------------------------ K = 17 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.143893 ALPHA = 0.0725555 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 ------------------------------------------------------ K = 17 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.186609 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 ------------------------------------------------------ K = 17 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.242766 ALPHA = 0.12984 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 ------------------------------------------------------ K = 17 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.281491 ALPHA = 0.164234 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 ------------------------------------------------------ K = 17 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0495594 ALPHA = 0.0197277 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 ------------------------------------------------------ K = 17 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0949349 ALPHA = 0.0489273 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8 8 8 ------------------------------------------------------ K = 17 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.148915 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 ------------------------------------------------------ K = 17 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.199746 ALPHA = 0.103516 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 ------------------------------------------------------ K = 17 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.240262 ALPHA = 0.114626 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 ------------------------------------------------------ K = 17 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.297975 ALPHA = 0.157644 The upper boundary b_1, ..., b_K: 2 2 2 3 3 4 4 4 5 5 5 5 6 6 6 7 7 ------------------------------------------------------ K = 17 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0466268 ALPHA = 0.0252948 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 6 7 7 8 8 9 9 10 10 ------------------------------------------------------ K = 17 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0941009 ALPHA = 0.0402769 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 9 ------------------------------------------------------ K = 17 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.143495 ALPHA = 0.0743516 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 7 8 8 8 9 ------------------------------------------------------ K = 17 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.171651 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 ------------------------------------------------------ K = 17 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.244004 ALPHA = 0.117849 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 ------------------------------------------------------ K = 17 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.298836 ALPHA = 0.16308 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 7 7 7 8 8 ------------------------------------------------------ K = 17 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0495315 ALPHA = 0.0228559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 10 11 ------------------------------------------------------ K = 17 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0985213 ALPHA = 0.042875 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 9 10 10 ------------------------------------------------------ K = 17 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.143551 ALPHA = 0.0670569 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 ------------------------------------------------------ K = 17 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.19792 ALPHA = 0.106091 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 9 9 9 ------------------------------------------------------ K = 17 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.223404 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 ------------------------------------------------------ K = 17 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.293176 ALPHA = 0.129468 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 ------------------------------------------------------ K = 17 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479784 ALPHA = 0.0250348 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 7 8 9 9 10 10 11 11 12 ------------------------------------------------------ K = 17 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0977956 ALPHA = 0.0498074 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 ------------------------------------------------------ K = 17 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.148121 ALPHA = 0.064 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 ------------------------------------------------------ K = 17 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.192492 ALPHA = 0.0950474 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 9 10 10 ------------------------------------------------------ K = 17 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.239704 ALPHA = 0.14227 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 ------------------------------------------------------ K = 17 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.262165 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 ------------------------------------------------------ K = 17 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.049808 ALPHA = 0.0254659 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 10 11 11 12 13 ------------------------------------------------------ K = 17 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.095976 ALPHA = 0.0426201 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 10 11 12 12 ------------------------------------------------------ K = 17 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.146934 ALPHA = 0.0769287 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 12 ------------------------------------------------------ K = 17 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.172556 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 ------------------------------------------------------ K = 17 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.239491 ALPHA = 0.124103 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 ------------------------------------------------------ K = 17 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.290223 ALPHA = 0.165822 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 ------------------------------------------------------ K = 17 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0487366 ALPHA = 0.0245209 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 10 10 11 12 12 13 13 ------------------------------------------------------ K = 17 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0959473 ALPHA = 0.0546875 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 12 12 13 ------------------------------------------------------ K = 17 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.135956 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 10 10 11 11 12 13 ------------------------------------------------------ K = 17 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.186951 ALPHA = 0.105057 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 ------------------------------------------------------ K = 17 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.214783 ALPHA = 0.113281 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 ------------------------------------------------------ K = 17 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.286835 ALPHA = 0.150879 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 12 ------------------------------------------------------ K = 18 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0452726 ALPHA = 0.0300536 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 18 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0688425 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 18 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.137352 ALPHA = 0.0861384 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 18 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.196769 ALPHA = 0.135424 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 18 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.246283 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 18 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.295797 ALPHA = 0.207772 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 ------------------------------------------------------ K = 18 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0474358 ALPHA = 0.0256375 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 ------------------------------------------------------ K = 18 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0953372 ALPHA = 0.0523 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 18 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.146696 ALPHA = 0.0826406 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 ------------------------------------------------------ K = 18 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.165111 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 ------------------------------------------------------ K = 18 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.248497 ALPHA = 0.133883 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 18 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.286381 ALPHA = 0.184061 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 18 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0415524 ALPHA = 0.0213525 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 ------------------------------------------------------ K = 18 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0923613 ALPHA = 0.0467403 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 ------------------------------------------------------ K = 18 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.148507 ALPHA = 0.0737652 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 ------------------------------------------------------ K = 18 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.18634 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 ------------------------------------------------------ K = 18 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.248947 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 18 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.248947 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 18 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0475206 ALPHA = 0.0195814 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 ------------------------------------------------------ K = 18 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0806653 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 ------------------------------------------------------ K = 18 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.149097 ALPHA = 0.0725555 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 ------------------------------------------------------ K = 18 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.189167 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 ------------------------------------------------------ K = 18 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.242766 ALPHA = 0.12984 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 7 ------------------------------------------------------ K = 18 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.290525 ALPHA = 0.164234 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 ------------------------------------------------------ K = 18 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0463628 ALPHA = 0.0172998 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 8 9 9 10 ------------------------------------------------------ K = 18 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0949349 ALPHA = 0.0489273 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8 8 8 9 ------------------------------------------------------ K = 18 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.129094 ALPHA = 0.056948 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 ------------------------------------------------------ K = 18 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.185708 ALPHA = 0.0802126 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 ------------------------------------------------------ K = 18 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.240262 ALPHA = 0.114626 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 ------------------------------------------------------ K = 18 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.265497 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 ------------------------------------------------------ K = 18 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0464311 ALPHA = 0.0216192 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 10 ------------------------------------------------------ K = 18 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0941009 ALPHA = 0.0402769 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 ------------------------------------------------------ K = 18 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.149552 ALPHA = 0.0743516 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 7 8 8 8 9 9 ------------------------------------------------------ K = 18 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.177001 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 ------------------------------------------------------ K = 18 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.244004 ALPHA = 0.117849 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 ------------------------------------------------------ K = 18 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.291343 ALPHA = 0.150268 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8 8 8 ------------------------------------------------------ K = 18 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0443766 ALPHA = 0.0212315 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 11 ------------------------------------------------------ K = 18 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0985213 ALPHA = 0.042875 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 ------------------------------------------------------ K = 18 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.145422 ALPHA = 0.0596947 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 10 ------------------------------------------------------ K = 18 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.19792 ALPHA = 0.106091 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 9 9 9 10 ------------------------------------------------------ K = 18 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.223404 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 ------------------------------------------------------ K = 18 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.293176 ALPHA = 0.129468 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 ------------------------------------------------------ K = 18 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0474787 ALPHA = 0.0202816 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 ------------------------------------------------------ K = 18 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0977956 ALPHA = 0.0498074 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 ------------------------------------------------------ K = 18 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.131579 ALPHA = 0.0583189 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 ------------------------------------------------------ K = 18 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.192492 ALPHA = 0.0950474 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 9 10 10 11 ------------------------------------------------------ K = 18 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.245611 ALPHA = 0.134714 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 10 ------------------------------------------------------ K = 18 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.274329 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 ------------------------------------------------------ K = 18 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.049966 ALPHA = 0.0203418 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 10 11 12 12 13 13 ------------------------------------------------------ K = 18 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.095976 ALPHA = 0.0426201 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 10 11 12 12 13 ------------------------------------------------------ K = 18 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.146522 ALPHA = 0.0698492 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 11 11 12 12 ------------------------------------------------------ K = 18 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.172556 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 ------------------------------------------------------ K = 18 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.239491 ALPHA = 0.124103 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 12 ------------------------------------------------------ K = 18 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.290399 ALPHA = 0.152928 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 11 ------------------------------------------------------ K = 18 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0487366 ALPHA = 0.0245209 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 10 10 11 12 12 13 13 14 ------------------------------------------------------ K = 18 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0986786 ALPHA = 0.0481262 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 10 11 12 12 13 13 ------------------------------------------------------ K = 18 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.143559 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 10 10 11 11 12 13 13 ------------------------------------------------------ K = 18 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.186951 ALPHA = 0.105057 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 13 ------------------------------------------------------ K = 18 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.232807 ALPHA = 0.118942 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 ------------------------------------------------------ K = 18 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.297962 ALPHA = 0.150879 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 12 12 ------------------------------------------------------ K = 19 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0464656 ALPHA = 0.0300536 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 19 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0694622 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 19 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.142853 ALPHA = 0.0861384 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 19 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.189892 ALPHA = 0.11836 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 ------------------------------------------------------ K = 19 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.248429 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 ------------------------------------------------------ K = 19 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.296513 ALPHA = 0.207772 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 ------------------------------------------------------ K = 19 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0478793 ALPHA = 0.0256375 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 ------------------------------------------------------ K = 19 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0991234 ALPHA = 0.0523 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 ------------------------------------------------------ K = 19 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.147817 ALPHA = 0.0826406 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 ------------------------------------------------------ K = 19 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.165111 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 ------------------------------------------------------ K = 19 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.2486 ALPHA = 0.114998 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 ------------------------------------------------------ K = 19 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.291961 ALPHA = 0.184061 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 19 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0441818 ALPHA = 0.0213525 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 ------------------------------------------------------ K = 19 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0923613 ALPHA = 0.0467403 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 ------------------------------------------------------ K = 19 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.144396 ALPHA = 0.0694449 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 ------------------------------------------------------ K = 19 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.188426 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 ------------------------------------------------------ K = 19 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.239686 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 ------------------------------------------------------ K = 19 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.261176 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 ------------------------------------------------------ K = 19 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0475206 ALPHA = 0.0195814 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 ------------------------------------------------------ K = 19 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0825719 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 ------------------------------------------------------ K = 19 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.142385 ALPHA = 0.0610514 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 ------------------------------------------------------ K = 19 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.194591 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 ------------------------------------------------------ K = 19 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.24539 ALPHA = 0.12984 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 7 7 ------------------------------------------------------ K = 19 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.296481 ALPHA = 0.163062 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 ------------------------------------------------------ K = 19 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0473722 ALPHA = 0.0172998 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 8 9 9 10 10 ------------------------------------------------------ K = 19 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0975726 ALPHA = 0.0489273 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8 8 8 9 9 ------------------------------------------------------ K = 19 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.129094 ALPHA = 0.056948 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 ------------------------------------------------------ K = 19 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.193981 ALPHA = 0.0802126 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 ------------------------------------------------------ K = 19 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.244338 ALPHA = 0.114626 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 ------------------------------------------------------ K = 19 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.265497 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 ------------------------------------------------------ K = 19 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0464311 ALPHA = 0.0216192 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 10 11 ------------------------------------------------------ K = 19 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0979682 ALPHA = 0.0402769 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 ------------------------------------------------------ K = 19 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.149552 ALPHA = 0.0743516 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 7 8 8 8 9 9 10 ------------------------------------------------------ K = 19 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.188088 ALPHA = 0.0839152 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 ------------------------------------------------------ K = 19 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.249655 ALPHA = 0.117849 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 ------------------------------------------------------ K = 19 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.291343 ALPHA = 0.150268 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8 8 8 9 ------------------------------------------------------ K = 19 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0443766 ALPHA = 0.0212315 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 ------------------------------------------------------ K = 19 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0835957 ALPHA = 0.0421938 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 ------------------------------------------------------ K = 19 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.145422 ALPHA = 0.0596947 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 10 11 ------------------------------------------------------ K = 19 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.194234 ALPHA = 0.0993789 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 9 9 9 10 10 ------------------------------------------------------ K = 19 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.230339 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 ------------------------------------------------------ K = 19 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.298688 ALPHA = 0.129468 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 ------------------------------------------------------ K = 19 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0474787 ALPHA = 0.0202816 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 ------------------------------------------------------ K = 19 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0950748 ALPHA = 0.04096 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 11 12 12 ------------------------------------------------------ K = 19 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.131579 ALPHA = 0.0583189 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 ------------------------------------------------------ K = 19 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.196247 ALPHA = 0.0918993 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 10 11 11 ------------------------------------------------------ K = 19 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.245611 ALPHA = 0.134714 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 10 11 ------------------------------------------------------ K = 19 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.274329 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 ------------------------------------------------------ K = 19 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.049966 ALPHA = 0.0203418 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 10 11 12 12 13 13 14 ------------------------------------------------------ K = 19 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0976381 ALPHA = 0.0410063 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 ------------------------------------------------------ K = 19 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.146522 ALPHA = 0.0698492 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 11 11 12 12 13 ------------------------------------------------------ K = 19 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.184854 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 ------------------------------------------------------ K = 19 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.246465 ALPHA = 0.124103 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 12 12 ------------------------------------------------------ K = 19 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.290399 ALPHA = 0.152928 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 11 12 ------------------------------------------------------ K = 19 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0487366 ALPHA = 0.0245209 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 10 10 11 12 12 13 13 14 15 ------------------------------------------------------ K = 19 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0986786 ALPHA = 0.0481262 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 10 11 12 12 13 13 14 ------------------------------------------------------ K = 19 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.143559 ALPHA = 0.0625 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 10 10 11 11 12 13 13 14 ------------------------------------------------------ K = 19 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.197134 ALPHA = 0.105057 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 13 13 ------------------------------------------------------ K = 19 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.232807 ALPHA = 0.118942 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 ------------------------------------------------------ K = 19 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.297962 ALPHA = 0.150879 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 12 12 13 ------------------------------------------------------ K = 20 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479923 ALPHA = 0.0300536 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 ------------------------------------------------------ K = 20 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.070414 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 20 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.148968 ALPHA = 0.0861384 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 20 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.194648 ALPHA = 0.11836 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 20 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.240328 ALPHA = 0.152986 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 ------------------------------------------------------ K = 20 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.297924 ALPHA = 0.207772 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 ------------------------------------------------------ K = 20 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488262 ALPHA = 0.0256375 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 ------------------------------------------------------ K = 20 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0906303 ALPHA = 0.0441329 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 ------------------------------------------------------ K = 20 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.143052 ALPHA = 0.08146 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 20 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.166308 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 ------------------------------------------------------ K = 20 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.2486 ALPHA = 0.114998 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 ------------------------------------------------------ K = 20 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.299225 ALPHA = 0.184061 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 20 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479554 ALPHA = 0.0219351 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 ------------------------------------------------------ K = 20 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0935231 ALPHA = 0.0467403 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 ------------------------------------------------------ K = 20 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.145637 ALPHA = 0.067308 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 ------------------------------------------------------ K = 20 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.192672 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 ------------------------------------------------------ K = 20 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.241729 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 ------------------------------------------------------ K = 20 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.261176 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 ------------------------------------------------------ K = 20 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0484005 ALPHA = 0.0195814 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 ------------------------------------------------------ K = 20 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.086594 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 ------------------------------------------------------ K = 20 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.144138 ALPHA = 0.0610514 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 ------------------------------------------------------ K = 20 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.19638 ALPHA = 0.09888 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 7 ------------------------------------------------------ K = 20 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.243032 ALPHA = 0.120874 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 ------------------------------------------------------ K = 20 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.296481 ALPHA = 0.163062 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 7 ------------------------------------------------------ K = 20 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0497869 ALPHA = 0.0172998 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 8 9 9 10 10 10 ------------------------------------------------------ K = 20 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.096528 ALPHA = 0.0409252 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 9 ------------------------------------------------------ K = 20 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.132185 ALPHA = 0.056948 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 ------------------------------------------------------ K = 20 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.193981 ALPHA = 0.0802126 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 ------------------------------------------------------ K = 20 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.246378 ALPHA = 0.113815 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 6 6 6 6 7 7 7 8 8 8 ------------------------------------------------------ K = 20 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.270312 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 ------------------------------------------------------ K = 20 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0489222 ALPHA = 0.0216192 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 10 11 11 ------------------------------------------------------ K = 20 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0979682 ALPHA = 0.0402769 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 11 ------------------------------------------------------ K = 20 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.147376 ALPHA = 0.07047 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 ------------------------------------------------------ K = 20 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.188088 ALPHA = 0.0839152 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 ------------------------------------------------------ K = 20 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.241679 ALPHA = 0.10464 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 7 7 7 8 8 8 9 9 10 ------------------------------------------------------ K = 20 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.297707 ALPHA = 0.150268 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8 8 8 9 9 ------------------------------------------------------ K = 20 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.048058 ALPHA = 0.0212315 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 ------------------------------------------------------ K = 20 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0835957 ALPHA = 0.0421938 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 ------------------------------------------------------ K = 20 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.147 ALPHA = 0.0556075 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 11 ------------------------------------------------------ K = 20 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.194234 ALPHA = 0.0993789 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 9 9 9 10 10 11 ------------------------------------------------------ K = 20 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.244957 ALPHA = 0.121781 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 ------------------------------------------------------ K = 20 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.288311 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 ------------------------------------------------------ K = 20 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0474787 ALPHA = 0.0202816 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 14 ------------------------------------------------------ K = 20 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0950748 ALPHA = 0.04096 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 11 12 12 13 ------------------------------------------------------ K = 20 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.138678 ALPHA = 0.0583189 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 ------------------------------------------------------ K = 20 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.196247 ALPHA = 0.0918993 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 10 11 11 12 ------------------------------------------------------ K = 20 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.233 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 ------------------------------------------------------ K = 20 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.284109 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 ------------------------------------------------------ K = 20 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.049966 ALPHA = 0.0203418 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 10 11 12 12 13 13 14 15 ------------------------------------------------------ K = 20 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0976381 ALPHA = 0.0410063 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 ------------------------------------------------------ K = 20 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.148934 ALPHA = 0.069198 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 20 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.184854 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 ------------------------------------------------------ K = 20 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.246465 ALPHA = 0.124103 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 12 12 13 ------------------------------------------------------ K = 20 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.287894 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 ------------------------------------------------------ K = 20 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0448456 ALPHA = 0.0195312 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 10 10 11 12 12 13 14 14 15 16 ------------------------------------------------------ K = 20 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0986786 ALPHA = 0.0481262 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 10 11 12 12 13 13 14 15 ------------------------------------------------------ K = 20 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.123062 ALPHA = 0.0592346 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 ------------------------------------------------------ K = 20 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.197134 ALPHA = 0.105057 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 13 13 14 ------------------------------------------------------ K = 20 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.232807 ALPHA = 0.118942 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 14 ------------------------------------------------------ K = 20 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.291745 ALPHA = 0.133423 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 8 9 9 10 11 11 12 12 13 13 ------------------------------------------------------ K = 21 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0498634 ALPHA = 0.0300536 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 ------------------------------------------------------ K = 21 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0717101 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 21 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.148124 ALPHA = 0.0849175 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 21 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.19152 ALPHA = 0.101895 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 21 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.244349 ALPHA = 0.152986 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 ------------------------------------------------------ K = 21 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.288688 ALPHA = 0.18924 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 ------------------------------------------------------ K = 21 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0469602 ALPHA = 0.0221442 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 ------------------------------------------------------ K = 21 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0968472 ALPHA = 0.0521524 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 ------------------------------------------------------ K = 21 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.147212 ALPHA = 0.08146 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 ------------------------------------------------------ K = 21 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.168726 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 ------------------------------------------------------ K = 21 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.249677 ALPHA = 0.114998 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 ------------------------------------------------------ K = 21 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.298608 ALPHA = 0.15836 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 ------------------------------------------------------ K = 21 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479554 ALPHA = 0.0219351 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 8 ------------------------------------------------------ K = 21 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0959849 ALPHA = 0.0467403 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 ------------------------------------------------------ K = 21 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.145637 ALPHA = 0.067308 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 ------------------------------------------------------ K = 21 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.199109 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 ------------------------------------------------------ K = 21 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.245876 ALPHA = 0.140853 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 ------------------------------------------------------ K = 21 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.26341 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 ------------------------------------------------------ K = 21 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0474322 ALPHA = 0.0194053 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 ------------------------------------------------------ K = 21 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.086594 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 ------------------------------------------------------ K = 21 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.147921 ALPHA = 0.0610514 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 ------------------------------------------------------ K = 21 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.19638 ALPHA = 0.09888 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 ------------------------------------------------------ K = 21 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.243609 ALPHA = 0.108512 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 ------------------------------------------------------ K = 21 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.290539 ALPHA = 0.161139 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 ------------------------------------------------------ K = 21 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0497869 ALPHA = 0.0172998 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 8 9 9 10 10 10 11 ------------------------------------------------------ K = 21 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.096528 ALPHA = 0.0409252 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 ------------------------------------------------------ K = 21 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.138715 ALPHA = 0.056948 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 ------------------------------------------------------ K = 21 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.197163 ALPHA = 0.0802126 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 ------------------------------------------------------ K = 21 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.246378 ALPHA = 0.113815 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 6 6 6 6 7 7 7 8 8 8 9 ------------------------------------------------------ K = 21 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.280056 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 ------------------------------------------------------ K = 21 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0489222 ALPHA = 0.0216192 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 10 11 11 12 ------------------------------------------------------ K = 21 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0969371 ALPHA = 0.0386008 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 10 11 11 ------------------------------------------------------ K = 21 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.144007 ALPHA = 0.0675728 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 ------------------------------------------------------ K = 21 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.193183 ALPHA = 0.0839152 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 ------------------------------------------------------ K = 21 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.245354 ALPHA = 0.10464 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 7 7 7 8 8 8 9 9 10 10 ------------------------------------------------------ K = 21 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.287728 ALPHA = 0.140683 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 10 ------------------------------------------------------ K = 21 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.048058 ALPHA = 0.0212315 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 ------------------------------------------------------ K = 21 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.087387 ALPHA = 0.0421938 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 ------------------------------------------------------ K = 21 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.147 ALPHA = 0.0556075 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 ------------------------------------------------------ K = 21 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.194352 ALPHA = 0.0949341 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 9 9 10 10 10 11 11 ------------------------------------------------------ K = 21 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.244957 ALPHA = 0.121781 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 ------------------------------------------------------ K = 21 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.288311 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 ------------------------------------------------------ K = 21 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0491445 ALPHA = 0.0202816 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 14 14 ------------------------------------------------------ K = 21 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0908338 ALPHA = 0.0352279 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 21 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.138678 ALPHA = 0.0583189 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 ------------------------------------------------------ K = 21 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.199589 ALPHA = 0.0884741 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 ------------------------------------------------------ K = 21 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.2401 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 ------------------------------------------------------ K = 21 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.284109 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 12 ------------------------------------------------------ K = 21 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0494885 ALPHA = 0.0184528 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 12 13 13 14 15 15 ------------------------------------------------------ K = 21 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0895584 ALPHA = 0.0378932 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 14 ------------------------------------------------------ K = 21 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.148934 ALPHA = 0.069198 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 ------------------------------------------------------ K = 21 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.196145 ALPHA = 0.090763 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 21 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.247606 ALPHA = 0.118861 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 11 11 12 12 13 13 ------------------------------------------------------ K = 21 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.287894 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 ------------------------------------------------------ K = 21 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0476179 ALPHA = 0.0195312 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 10 10 11 12 12 13 14 14 15 16 16 ------------------------------------------------------ K = 21 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0956101 ALPHA = 0.0391769 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 12 13 14 14 15 15 ------------------------------------------------------ K = 21 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.123062 ALPHA = 0.0592346 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 ------------------------------------------------------ K = 21 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.189352 ALPHA = 0.0898438 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 12 12 13 13 14 15 ------------------------------------------------------ K = 21 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.241702 ALPHA = 0.118942 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 14 14 ------------------------------------------------------ K = 21 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.291745 ALPHA = 0.133423 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 8 9 9 10 11 11 12 12 13 13 14 ------------------------------------------------------ K = 22 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488802 ALPHA = 0.0245078 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 22 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0733611 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 ------------------------------------------------------ K = 22 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.148124 ALPHA = 0.0849175 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 ------------------------------------------------------ K = 22 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.197888 ALPHA = 0.101895 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 22 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.248972 ALPHA = 0.152986 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 22 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.29199 ALPHA = 0.18924 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 ------------------------------------------------------ K = 22 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0491822 ALPHA = 0.0221442 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 ------------------------------------------------------ K = 22 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0968472 ALPHA = 0.0521524 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 ------------------------------------------------------ K = 22 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.138082 ALPHA = 0.0701908 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 ------------------------------------------------------ K = 22 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.172378 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 22 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.245024 ALPHA = 0.114265 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 22 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.298608 ALPHA = 0.15836 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 ------------------------------------------------------ K = 22 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0487104 ALPHA = 0.0219351 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 8 8 ------------------------------------------------------ K = 22 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0998627 ALPHA = 0.0467403 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 ------------------------------------------------------ K = 22 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.147129 ALPHA = 0.067308 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 ------------------------------------------------------ K = 22 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.19705 ALPHA = 0.0999452 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 ------------------------------------------------------ K = 22 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.240644 ALPHA = 0.120561 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 ------------------------------------------------------ K = 22 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.267905 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 ------------------------------------------------------ K = 22 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0474322 ALPHA = 0.0194053 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 10 ------------------------------------------------------ K = 22 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0878574 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 ------------------------------------------------------ K = 22 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.149789 ALPHA = 0.05792 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 ------------------------------------------------------ K = 22 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.198836 ALPHA = 0.09888 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 8 ------------------------------------------------------ K = 22 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.243609 ALPHA = 0.108512 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 ------------------------------------------------------ K = 22 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.299842 ALPHA = 0.161139 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 ------------------------------------------------------ K = 22 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488387 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 ------------------------------------------------------ K = 22 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0988688 ALPHA = 0.0409252 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 ------------------------------------------------------ K = 22 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.138715 ALPHA = 0.056948 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 ------------------------------------------------------ K = 22 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.19947 ALPHA = 0.0795573 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 7 7 7 7 8 8 8 9 9 9 ------------------------------------------------------ K = 22 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.249719 ALPHA = 0.113815 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 6 6 6 6 7 7 7 8 8 8 9 9 ------------------------------------------------------ K = 22 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.280056 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 ------------------------------------------------------ K = 22 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0472996 ALPHA = 0.020968 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 ------------------------------------------------------ K = 22 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0969371 ALPHA = 0.0386008 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 10 11 11 12 ------------------------------------------------------ K = 22 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.144007 ALPHA = 0.0675728 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 ------------------------------------------------------ K = 22 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.193183 ALPHA = 0.0839152 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 11 ------------------------------------------------------ K = 22 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.248238 ALPHA = 0.0988087 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 ------------------------------------------------------ K = 22 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.291723 ALPHA = 0.140683 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 10 10 ------------------------------------------------------ K = 22 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.048573 ALPHA = 0.0195794 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 12 13 13 ------------------------------------------------------ K = 22 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.087387 ALPHA = 0.0421938 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 ------------------------------------------------------ K = 22 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.145858 ALPHA = 0.0540225 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 ------------------------------------------------------ K = 22 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.194352 ALPHA = 0.0949341 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 9 9 10 10 10 11 11 12 ------------------------------------------------------ K = 22 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.246619 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 ------------------------------------------------------ K = 22 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.295473 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 ------------------------------------------------------ K = 22 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0491445 ALPHA = 0.0202816 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 ------------------------------------------------------ K = 22 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0908338 ALPHA = 0.0352279 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 ------------------------------------------------------ K = 22 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.144795 ALPHA = 0.0583189 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 22 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.199589 ALPHA = 0.0884741 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 ------------------------------------------------------ K = 22 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.2401 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 ------------------------------------------------------ K = 22 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.292151 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 12 12 ------------------------------------------------------ K = 22 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0494885 ALPHA = 0.0184528 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 12 13 13 14 15 15 16 ------------------------------------------------------ K = 22 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0895584 ALPHA = 0.0378932 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 14 15 ------------------------------------------------------ K = 22 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.144314 ALPHA = 0.0616846 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 14 ------------------------------------------------------ K = 22 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.196145 ALPHA = 0.090763 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 14 ------------------------------------------------------ K = 22 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.247606 ALPHA = 0.118861 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 11 11 12 12 13 13 14 ------------------------------------------------------ K = 22 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.29951 ALPHA = 0.132765 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 22 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0476179 ALPHA = 0.0195312 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 10 10 11 12 12 13 14 14 15 16 16 17 ------------------------------------------------------ K = 22 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0956101 ALPHA = 0.0391769 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 12 13 14 14 15 15 16 ------------------------------------------------------ K = 22 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.123062 ALPHA = 0.0592346 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 ------------------------------------------------------ K = 22 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.196171 ALPHA = 0.0898438 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 12 12 13 13 14 15 15 ------------------------------------------------------ K = 22 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.241702 ALPHA = 0.118942 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 14 14 15 ------------------------------------------------------ K = 22 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.291745 ALPHA = 0.133423 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 8 9 9 10 11 11 12 12 13 13 14 15 ------------------------------------------------------ K = 23 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488802 ALPHA = 0.0245078 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 ------------------------------------------------------ K = 23 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0753752 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 ------------------------------------------------------ K = 23 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.148506 ALPHA = 0.0849175 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 23 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.197888 ALPHA = 0.101895 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 ------------------------------------------------------ K = 23 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.245656 ALPHA = 0.142625 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 23 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.295889 ALPHA = 0.18924 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 ------------------------------------------------------ K = 23 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0491822 ALPHA = 0.0221442 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 ------------------------------------------------------ K = 23 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0975815 ALPHA = 0.0521524 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 ------------------------------------------------------ K = 23 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.144789 ALPHA = 0.0731131 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 ------------------------------------------------------ K = 23 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.177264 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 ------------------------------------------------------ K = 23 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.248994 ALPHA = 0.114265 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 ------------------------------------------------------ K = 23 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.299732 ALPHA = 0.15836 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 ------------------------------------------------------ K = 23 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479935 ALPHA = 0.0213525 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 ------------------------------------------------------ K = 23 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.095554 ALPHA = 0.0418964 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 8 ------------------------------------------------------ K = 23 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.145358 ALPHA = 0.0617054 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 ------------------------------------------------------ K = 23 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.19705 ALPHA = 0.0999452 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 ------------------------------------------------------ K = 23 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.249433 ALPHA = 0.120561 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 ------------------------------------------------------ K = 23 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.274645 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 ------------------------------------------------------ K = 23 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0481067 ALPHA = 0.0194053 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 10 10 ------------------------------------------------------ K = 23 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.090618 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 ------------------------------------------------------ K = 23 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.149789 ALPHA = 0.05792 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 ------------------------------------------------------ K = 23 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.189891 ALPHA = 0.0866925 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 8 8 ------------------------------------------------------ K = 23 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.246193 ALPHA = 0.108512 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 ------------------------------------------------------ K = 23 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.290258 ALPHA = 0.148032 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 ------------------------------------------------------ K = 23 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0439924 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 4 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 ------------------------------------------------------ K = 23 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.095537 ALPHA = 0.0402368 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 10 10 10 11 ------------------------------------------------------ K = 23 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.141266 ALPHA = 0.056948 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 ------------------------------------------------------ K = 23 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.19947 ALPHA = 0.0795573 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 7 7 7 7 8 8 8 9 9 9 10 ------------------------------------------------------ K = 23 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.247041 ALPHA = 0.111669 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 ------------------------------------------------------ K = 23 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.283696 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 ------------------------------------------------------ K = 23 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0472996 ALPHA = 0.020968 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 ------------------------------------------------------ K = 23 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0987629 ALPHA = 0.0386008 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 10 11 11 12 12 ------------------------------------------------------ K = 23 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.148371 ALPHA = 0.0675728 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 ------------------------------------------------------ K = 23 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.196302 ALPHA = 0.0839152 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 11 11 ------------------------------------------------------ K = 23 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.248238 ALPHA = 0.0988087 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 ------------------------------------------------------ K = 23 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.294504 ALPHA = 0.131143 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 9 9 9 10 10 10 ------------------------------------------------------ K = 23 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.048573 ALPHA = 0.0195794 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 12 13 13 14 ------------------------------------------------------ K = 23 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.090366 ALPHA = 0.0421938 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 23 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.145858 ALPHA = 0.0540225 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 ------------------------------------------------------ K = 23 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.199287 ALPHA = 0.0949341 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 9 9 10 10 10 11 11 12 12 ------------------------------------------------------ K = 23 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.246619 ALPHA = 0.117424 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 ------------------------------------------------------ K = 23 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.295473 ALPHA = 0.1225 The upper boundary b_1, ..., b_K: 2 2 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 ------------------------------------------------------ K = 23 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0489571 ALPHA = 0.0191419 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 13 13 14 14 15 15 ------------------------------------------------------ K = 23 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.095508 ALPHA = 0.0352279 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 ------------------------------------------------------ K = 23 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.144795 ALPHA = 0.0583189 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 ------------------------------------------------------ K = 23 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.186197 ALPHA = 0.0849243 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 12 13 13 ------------------------------------------------------ K = 23 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.246155 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 23 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.292151 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 12 12 13 ------------------------------------------------------ K = 23 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0455152 ALPHA = 0.0182868 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 7 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 ------------------------------------------------------ K = 23 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0895584 ALPHA = 0.0378932 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 14 15 16 ------------------------------------------------------ K = 23 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.144314 ALPHA = 0.0616846 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 14 15 ------------------------------------------------------ K = 23 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.196145 ALPHA = 0.090763 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 14 15 ------------------------------------------------------ K = 23 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.249518 ALPHA = 0.11174 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 14 ------------------------------------------------------ K = 23 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.29951 ALPHA = 0.132765 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 ------------------------------------------------------ K = 23 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479492 ALPHA = 0.0192871 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 9 9 10 10 11 12 12 13 14 14 15 16 16 17 17 ------------------------------------------------------ K = 23 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0956101 ALPHA = 0.0391769 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 12 13 14 14 15 15 16 17 ------------------------------------------------------ K = 23 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.128912 ALPHA = 0.0592346 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 16 ------------------------------------------------------ K = 23 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.196171 ALPHA = 0.0898438 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 12 12 13 13 14 15 15 16 ------------------------------------------------------ K = 23 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.246897 ALPHA = 0.113281 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 15 ------------------------------------------------------ K = 23 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.299379 ALPHA = 0.133423 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 8 9 9 10 11 11 12 12 13 13 14 15 15 ------------------------------------------------------ K = 24 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0490175 ALPHA = 0.0245078 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 ------------------------------------------------------ K = 24 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0777591 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 24 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.149277 ALPHA = 0.0849175 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 24 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.198233 ALPHA = 0.101895 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 24 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.227564 ALPHA = 0.135424 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 24 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.291462 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 24 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0494715 ALPHA = 0.0221442 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 ------------------------------------------------------ K = 24 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0990886 ALPHA = 0.0521524 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 ------------------------------------------------------ K = 24 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.144789 ALPHA = 0.0731131 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 ------------------------------------------------------ K = 24 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.18337 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 ------------------------------------------------------ K = 24 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.242334 ALPHA = 0.11087 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 ------------------------------------------------------ K = 24 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.294551 ALPHA = 0.151965 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 ------------------------------------------------------ K = 24 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0468396 ALPHA = 0.0198693 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 ------------------------------------------------------ K = 24 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.096402 ALPHA = 0.0418964 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 ------------------------------------------------------ K = 24 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.146584 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 ------------------------------------------------------ K = 24 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.198731 ALPHA = 0.0999452 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 ------------------------------------------------------ K = 24 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.249433 ALPHA = 0.120561 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 ------------------------------------------------------ K = 24 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.283572 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 ------------------------------------------------------ K = 24 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0496277 ALPHA = 0.0194053 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 ------------------------------------------------------ K = 24 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.095081 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 ------------------------------------------------------ K = 24 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.141518 ALPHA = 0.0562816 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 ------------------------------------------------------ K = 24 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.197929 ALPHA = 0.0891713 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 ------------------------------------------------------ K = 24 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.246483 ALPHA = 0.105701 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 ------------------------------------------------------ K = 24 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.292854 ALPHA = 0.148032 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 ------------------------------------------------------ K = 24 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0439924 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 4 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 ------------------------------------------------------ K = 24 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0969964 ALPHA = 0.0402368 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 10 10 10 11 11 ------------------------------------------------------ K = 24 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.146679 ALPHA = 0.056948 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 ------------------------------------------------------ K = 24 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.197895 ALPHA = 0.0781269 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8 8 8 8 9 9 9 10 10 ------------------------------------------------------ K = 24 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.247041 ALPHA = 0.111669 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 10 ------------------------------------------------------ K = 24 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.291198 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 ------------------------------------------------------ K = 24 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0484761 ALPHA = 0.020968 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 24 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0990141 ALPHA = 0.0325534 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 12 ------------------------------------------------------ K = 24 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.148371 ALPHA = 0.0675728 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 12 ------------------------------------------------------ K = 24 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.198949 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 ------------------------------------------------------ K = 24 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.244747 ALPHA = 0.0932819 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 ------------------------------------------------------ K = 24 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.294504 ALPHA = 0.131143 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 ------------------------------------------------------ K = 24 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0490207 ALPHA = 0.017963 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 13 14 14 ------------------------------------------------------ K = 24 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0971715 ALPHA = 0.0422531 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 13 ------------------------------------------------------ K = 24 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.149496 ALPHA = 0.0540225 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 ------------------------------------------------------ K = 24 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.190679 ALPHA = 0.0874736 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 10 11 11 12 12 13 ------------------------------------------------------ K = 24 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.237255 ALPHA = 0.113231 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 ------------------------------------------------------ K = 24 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.258218 ALPHA = 0.121781 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 ------------------------------------------------------ K = 24 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0489571 ALPHA = 0.0191419 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 13 13 14 14 15 15 16 ------------------------------------------------------ K = 24 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.095508 ALPHA = 0.0352279 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 ------------------------------------------------------ K = 24 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.143969 ALPHA = 0.0576473 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 10 10 11 11 11 12 12 13 13 14 14 ------------------------------------------------------ K = 24 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.186197 ALPHA = 0.0849243 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 12 13 13 14 ------------------------------------------------------ K = 24 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.246155 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 ------------------------------------------------------ K = 24 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.298875 ALPHA = 0.158212 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 24 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0455152 ALPHA = 0.0182868 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 7 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 ------------------------------------------------------ K = 24 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.09265 ALPHA = 0.0378932 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 14 15 16 16 ------------------------------------------------------ K = 24 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.144314 ALPHA = 0.0616846 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 14 15 16 ------------------------------------------------------ K = 24 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.195853 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 ------------------------------------------------------ K = 24 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.249518 ALPHA = 0.11174 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 14 15 ------------------------------------------------------ K = 24 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.29951 ALPHA = 0.132765 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 15 ------------------------------------------------------ K = 24 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479492 ALPHA = 0.0192871 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 9 9 10 10 11 12 12 13 14 14 15 16 16 17 17 18 ------------------------------------------------------ K = 24 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0971138 ALPHA = 0.0384064 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 12 13 14 14 15 16 16 17 17 ------------------------------------------------------ K = 24 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.128912 ALPHA = 0.0592346 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 16 17 ------------------------------------------------------ K = 24 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.195757 ALPHA = 0.0897827 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 10 11 12 12 13 13 14 15 15 16 16 ------------------------------------------------------ K = 24 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.246897 ALPHA = 0.113281 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 15 16 ------------------------------------------------------ K = 24 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.299379 ALPHA = 0.133423 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 8 9 9 10 11 11 12 12 13 13 14 15 15 16 ------------------------------------------------------ K = 25 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0493031 ALPHA = 0.0245078 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 ------------------------------------------------------ K = 25 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0805177 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 25 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.144658 ALPHA = 0.0754837 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 25 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.198931 ALPHA = 0.101895 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 25 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.234681 ALPHA = 0.135424 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 25 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.296921 ALPHA = 0.185494 The upper boundary b_1, ..., b_K: 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 25 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0478958 ALPHA = 0.0185348 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 ------------------------------------------------------ K = 25 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0973225 ALPHA = 0.0441329 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 ------------------------------------------------------ K = 25 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.145575 ALPHA = 0.0731131 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 ------------------------------------------------------ K = 25 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.190672 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 ------------------------------------------------------ K = 25 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.248631 ALPHA = 0.11087 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 ------------------------------------------------------ K = 25 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.298132 ALPHA = 0.151965 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 25 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0468396 ALPHA = 0.0198693 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 9 ------------------------------------------------------ K = 25 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0982095 ALPHA = 0.0418964 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 ------------------------------------------------------ K = 25 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.146584 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 ------------------------------------------------------ K = 25 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.19662 ALPHA = 0.09871 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 ------------------------------------------------------ K = 25 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.245951 ALPHA = 0.118877 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 ------------------------------------------------------ K = 25 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.283572 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 ------------------------------------------------------ K = 25 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0497334 ALPHA = 0.0180588 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 10 ------------------------------------------------------ K = 25 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.095081 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 ------------------------------------------------------ K = 25 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.145317 ALPHA = 0.0562816 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 ------------------------------------------------------ K = 25 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.197929 ALPHA = 0.0891713 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 ------------------------------------------------------ K = 25 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.246483 ALPHA = 0.105701 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 ------------------------------------------------------ K = 25 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.298125 ALPHA = 0.148032 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 ------------------------------------------------------ K = 25 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0450471 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 4 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 12 ------------------------------------------------------ K = 25 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0971833 ALPHA = 0.0382708 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 ------------------------------------------------------ K = 25 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.146679 ALPHA = 0.056948 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 ------------------------------------------------------ K = 25 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.197454 ALPHA = 0.0774572 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 ------------------------------------------------------ K = 25 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.249808 ALPHA = 0.111669 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 10 10 ------------------------------------------------------ K = 25 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.291198 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 10 ------------------------------------------------------ K = 25 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.049276 ALPHA = 0.0182228 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 13 13 13 ------------------------------------------------------ K = 25 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0990141 ALPHA = 0.0325534 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 12 13 ------------------------------------------------------ K = 25 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.146879 ALPHA = 0.0623752 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 11 11 11 12 12 ------------------------------------------------------ K = 25 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.198949 ALPHA = 0.0837 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 ------------------------------------------------------ K = 25 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.244747 ALPHA = 0.0932819 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 12 ------------------------------------------------------ K = 25 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.298884 ALPHA = 0.131143 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 ------------------------------------------------------ K = 25 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0490207 ALPHA = 0.017963 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 13 14 14 15 ------------------------------------------------------ K = 25 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0971715 ALPHA = 0.0422531 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 13 14 ------------------------------------------------------ K = 25 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.149496 ALPHA = 0.0540225 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 ------------------------------------------------------ K = 25 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.194532 ALPHA = 0.0874736 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 25 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.237255 ALPHA = 0.113231 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 13 ------------------------------------------------------ K = 25 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.258218 ALPHA = 0.121781 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 ------------------------------------------------------ K = 25 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0489514 ALPHA = 0.0188416 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 16 16 ------------------------------------------------------ K = 25 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0996435 ALPHA = 0.0352279 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 ------------------------------------------------------ K = 25 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.143969 ALPHA = 0.0576473 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 10 10 11 11 11 12 12 13 13 14 14 15 ------------------------------------------------------ K = 25 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.193347 ALPHA = 0.0849243 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 12 13 13 14 14 ------------------------------------------------------ K = 25 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.246913 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 8 8 8 9 9 10 10 11 11 12 12 13 13 14 14 ------------------------------------------------------ K = 25 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.289832 ALPHA = 0.15014 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 12 12 13 13 14 ------------------------------------------------------ K = 25 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488482 ALPHA = 0.0182868 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 7 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 ------------------------------------------------------ K = 25 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.09265 ALPHA = 0.0378932 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 14 15 16 16 17 ------------------------------------------------------ K = 25 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.148056 ALPHA = 0.0616846 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 14 15 16 16 ------------------------------------------------------ K = 25 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.195853 ALPHA = 0.0884559 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 ------------------------------------------------------ K = 25 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.243447 ALPHA = 0.095983 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 ------------------------------------------------------ K = 25 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.299118 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 ------------------------------------------------------ K = 25 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479492 ALPHA = 0.0192871 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 9 9 10 10 11 12 12 13 14 14 15 16 16 17 17 18 19 ------------------------------------------------------ K = 25 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0971138 ALPHA = 0.0384064 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 12 13 14 14 15 16 16 17 17 18 ------------------------------------------------------ K = 25 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.136443 ALPHA = 0.0592346 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 16 17 17 ------------------------------------------------------ K = 25 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.195757 ALPHA = 0.0897827 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 10 11 12 12 13 13 14 15 15 16 16 17 ------------------------------------------------------ K = 25 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.246897 ALPHA = 0.113281 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 15 16 17 ------------------------------------------------------ K = 25 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.297007 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 14 14 15 15 16 16 ------------------------------------------------------ K = 26 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0497476 ALPHA = 0.0245078 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 26 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0836539 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 26 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.146508 ALPHA = 0.0754837 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 ------------------------------------------------------ K = 26 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.199988 ALPHA = 0.101895 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 26 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.242288 ALPHA = 0.138632 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 26 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.280977 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 26 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0489439 ALPHA = 0.0185348 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 ------------------------------------------------------ K = 26 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.097347 ALPHA = 0.0431745 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 ------------------------------------------------------ K = 26 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.147181 ALPHA = 0.0731131 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 ------------------------------------------------------ K = 26 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.190672 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 ------------------------------------------------------ K = 26 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.248631 ALPHA = 0.11087 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 ------------------------------------------------------ K = 26 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.296529 ALPHA = 0.149694 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 ------------------------------------------------------ K = 26 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.047432 ALPHA = 0.0198693 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 ------------------------------------------------------ K = 26 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0980354 ALPHA = 0.0368401 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 ------------------------------------------------------ K = 26 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.147677 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 ------------------------------------------------------ K = 26 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.197441 ALPHA = 0.0922063 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 ------------------------------------------------------ K = 26 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.249477 ALPHA = 0.118877 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 ------------------------------------------------------ K = 26 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.285225 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 ------------------------------------------------------ K = 26 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0497334 ALPHA = 0.0180588 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 10 11 ------------------------------------------------------ K = 26 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0963483 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 10 ------------------------------------------------------ K = 26 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.145317 ALPHA = 0.0562816 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 ------------------------------------------------------ K = 26 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.194946 ALPHA = 0.0866925 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 7 8 8 8 9 9 9 ------------------------------------------------------ K = 26 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.248277 ALPHA = 0.105701 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 ------------------------------------------------------ K = 26 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.29303 ALPHA = 0.132951 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 ------------------------------------------------------ K = 26 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0473755 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 4 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 12 12 ------------------------------------------------------ K = 26 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0971833 ALPHA = 0.0382708 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 ------------------------------------------------------ K = 26 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.148805 ALPHA = 0.056948 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 ------------------------------------------------------ K = 26 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.197454 ALPHA = 0.0774572 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 ------------------------------------------------------ K = 26 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.249845 ALPHA = 0.107082 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 ------------------------------------------------------ K = 26 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.294054 ALPHA = 0.148368 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 10 10 ------------------------------------------------------ K = 26 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.049276 ALPHA = 0.0182228 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 13 13 13 14 ------------------------------------------------------ K = 26 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.099064 ALPHA = 0.0314685 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 12 13 13 ------------------------------------------------------ K = 26 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.148933 ALPHA = 0.0603126 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 12 ------------------------------------------------------ K = 26 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.183558 ALPHA = 0.0782248 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 ------------------------------------------------------ K = 26 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.247353 ALPHA = 0.0932819 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 12 12 ------------------------------------------------------ K = 26 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.291369 ALPHA = 0.125291 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 ------------------------------------------------------ K = 26 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0494114 ALPHA = 0.0164185 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 14 15 15 ------------------------------------------------------ K = 26 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0982588 ALPHA = 0.0421938 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 14 ------------------------------------------------------ K = 26 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.141662 ALPHA = 0.0535882 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 ------------------------------------------------------ K = 26 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.198975 ALPHA = 0.0846321 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 13 ------------------------------------------------------ K = 26 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.241805 ALPHA = 0.113231 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 13 13 ------------------------------------------------------ K = 26 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.262236 ALPHA = 0.121781 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 13 ------------------------------------------------------ K = 26 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0489514 ALPHA = 0.0188416 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 16 16 17 ------------------------------------------------------ K = 26 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0996435 ALPHA = 0.0352279 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 ------------------------------------------------------ K = 26 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.148833 ALPHA = 0.0576473 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 10 10 11 11 11 12 12 13 13 14 14 15 15 ------------------------------------------------------ K = 26 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.193347 ALPHA = 0.0849243 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 12 13 13 14 14 15 ------------------------------------------------------ K = 26 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.246913 ALPHA = 0.0993526 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 8 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 ------------------------------------------------------ K = 26 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.295755 ALPHA = 0.15014 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 12 12 13 13 14 14 ------------------------------------------------------ K = 26 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488482 ALPHA = 0.0182868 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 7 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 ------------------------------------------------------ K = 26 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0964025 ALPHA = 0.0378932 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 14 15 16 16 17 17 ------------------------------------------------------ K = 26 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.148056 ALPHA = 0.0616846 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 14 15 16 16 17 ------------------------------------------------------ K = 26 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.191726 ALPHA = 0.0871264 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 ------------------------------------------------------ K = 26 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.243447 ALPHA = 0.095983 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 ------------------------------------------------------ K = 26 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.299118 ALPHA = 0.13122 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 ------------------------------------------------------ K = 26 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.047503 ALPHA = 0.0175781 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 9 9 10 11 11 12 12 13 14 14 15 16 16 17 17 18 19 19 ------------------------------------------------------ K = 26 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0937342 ALPHA = 0.0351562 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 13 13 14 14 15 16 16 17 17 18 19 ------------------------------------------------------ K = 26 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.136443 ALPHA = 0.0592346 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 16 17 17 18 ------------------------------------------------------ K = 26 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.199743 ALPHA = 0.0843188 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 ------------------------------------------------------ K = 26 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.24539 ALPHA = 0.109375 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 9 9 10 10 11 11 12 13 13 14 14 15 15 16 17 17 ------------------------------------------------------ K = 26 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.297007 ALPHA = 0.125 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 ------------------------------------------------------ K = 27 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0477796 ALPHA = 0.0225925 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 ------------------------------------------------------ K = 27 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0871693 ALPHA = 0.0443805 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 27 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.148742 ALPHA = 0.0754837 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 ------------------------------------------------------ K = 27 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.194402 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 27 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.242288 ALPHA = 0.138632 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 ------------------------------------------------------ K = 27 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.287802 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 27 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.048104 ALPHA = 0.018216 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 ------------------------------------------------------ K = 27 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.097347 ALPHA = 0.0431745 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 ------------------------------------------------------ K = 27 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.149634 ALPHA = 0.0731131 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 ------------------------------------------------------ K = 27 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.191518 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 ------------------------------------------------------ K = 27 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.249365 ALPHA = 0.11087 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 ------------------------------------------------------ K = 27 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.290752 ALPHA = 0.133883 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 ------------------------------------------------------ K = 27 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0486877 ALPHA = 0.0198693 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 ------------------------------------------------------ K = 27 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0980354 ALPHA = 0.0368401 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 9 ------------------------------------------------------ K = 27 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.149941 ALPHA = 0.06075 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 ------------------------------------------------------ K = 27 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.197441 ALPHA = 0.0922063 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 ------------------------------------------------------ K = 27 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.249705 ALPHA = 0.118003 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 ------------------------------------------------------ K = 27 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.28858 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 ------------------------------------------------------ K = 27 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.048598 ALPHA = 0.0173319 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 11 11 ------------------------------------------------------ K = 27 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0990308 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 10 10 ------------------------------------------------------ K = 27 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.146495 ALPHA = 0.0562816 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 10 ------------------------------------------------------ K = 27 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.19639 ALPHA = 0.0856417 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 ------------------------------------------------------ K = 27 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.24727 ALPHA = 0.104 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 ------------------------------------------------------ K = 27 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.29303 ALPHA = 0.132951 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 ------------------------------------------------------ K = 27 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0473755 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 4 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 ------------------------------------------------------ K = 27 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0985676 ALPHA = 0.0382708 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 12 ------------------------------------------------------ K = 27 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.14729 ALPHA = 0.0561468 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 9 10 10 10 11 11 11 ------------------------------------------------------ K = 27 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.199788 ALPHA = 0.0774572 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 ------------------------------------------------------ K = 27 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.249845 ALPHA = 0.107082 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 11 ------------------------------------------------------ K = 27 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.293501 ALPHA = 0.138985 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 ------------------------------------------------------ K = 27 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0485545 ALPHA = 0.0174697 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 14 14 ------------------------------------------------------ K = 27 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.099064 ALPHA = 0.0314685 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 12 13 13 14 ------------------------------------------------------ K = 27 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.148933 ALPHA = 0.0603126 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 12 13 ------------------------------------------------------ K = 27 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.191235 ALPHA = 0.079806 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 12 ------------------------------------------------------ K = 27 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.248384 ALPHA = 0.0915961 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 12 12 12 ------------------------------------------------------ K = 27 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.291369 ALPHA = 0.125291 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 ------------------------------------------------------ K = 27 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0494114 ALPHA = 0.0164185 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 14 15 15 16 ------------------------------------------------------ K = 27 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0982588 ALPHA = 0.0421938 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 14 15 ------------------------------------------------------ K = 27 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.148166 ALPHA = 0.053623 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 14 ------------------------------------------------------ K = 27 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.198975 ALPHA = 0.0846321 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 13 14 ------------------------------------------------------ K = 27 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.24621 ALPHA = 0.110635 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 ------------------------------------------------------ K = 27 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.271046 ALPHA = 0.121781 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 13 13 ------------------------------------------------------ K = 27 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0460832 ALPHA = 0.0175095 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 16 16 17 17 ------------------------------------------------------ K = 27 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0999048 ALPHA = 0.0349221 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 13 13 14 14 14 15 15 16 16 ------------------------------------------------------ K = 27 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.148833 ALPHA = 0.0576473 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 10 10 11 11 11 12 12 13 13 14 14 15 15 16 ------------------------------------------------------ K = 27 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.199253 ALPHA = 0.0849243 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 12 13 13 14 14 15 15 ------------------------------------------------------ K = 27 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.244601 ALPHA = 0.0976709 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 ------------------------------------------------------ K = 27 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.28844 ALPHA = 0.14227 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 15 ------------------------------------------------------ K = 27 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488482 ALPHA = 0.0182868 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 7 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 19 ------------------------------------------------------ K = 27 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0964025 ALPHA = 0.0378932 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 14 15 16 16 17 17 18 ------------------------------------------------------ K = 27 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.149124 ALPHA = 0.0609632 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 15 15 16 16 17 17 ------------------------------------------------------ K = 27 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.191726 ALPHA = 0.0871264 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 ------------------------------------------------------ K = 27 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.243447 ALPHA = 0.095983 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 17 ------------------------------------------------------ K = 27 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.286855 ALPHA = 0.130765 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 ------------------------------------------------------ K = 27 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.047503 ALPHA = 0.0175781 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 9 9 10 11 11 12 12 13 14 14 15 16 16 17 17 18 19 19 20 ------------------------------------------------------ K = 27 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0970549 ALPHA = 0.0351562 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 13 13 14 14 15 16 16 17 17 18 19 19 ------------------------------------------------------ K = 27 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.144829 ALPHA = 0.0610391 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 16 17 17 18 18 ------------------------------------------------------ K = 27 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.199743 ALPHA = 0.0843188 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 ------------------------------------------------------ K = 27 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.24539 ALPHA = 0.109375 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 9 9 10 10 11 11 12 13 13 14 14 15 15 16 17 17 18 ------------------------------------------------------ K = 27 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.275708 ALPHA = 0.123894 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 17 ------------------------------------------------------ K = 28 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0485994 ALPHA = 0.0225925 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 ------------------------------------------------------ K = 28 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0910637 ALPHA = 0.0490739 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 28 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.147027 ALPHA = 0.0712114 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 28 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.196264 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 ------------------------------------------------------ K = 28 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.242692 ALPHA = 0.138632 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 28 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.295084 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 ------------------------------------------------------ K = 28 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0487135 ALPHA = 0.0179067 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 ------------------------------------------------------ K = 28 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0977976 ALPHA = 0.0431745 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 ------------------------------------------------------ K = 28 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.148993 ALPHA = 0.0701908 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 ------------------------------------------------------ K = 28 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.193238 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 ------------------------------------------------------ K = 28 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.244123 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 ------------------------------------------------------ K = 28 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.298582 ALPHA = 0.142112 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 ------------------------------------------------------ K = 28 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0491303 ALPHA = 0.0177108 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 ------------------------------------------------------ K = 28 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0986654 ALPHA = 0.0368401 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 ------------------------------------------------------ K = 28 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.135601 ALPHA = 0.0571915 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 ------------------------------------------------------ K = 28 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.19865 ALPHA = 0.0922063 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 ------------------------------------------------------ K = 28 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.243202 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 ------------------------------------------------------ K = 28 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.293655 ALPHA = 0.146508 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 ------------------------------------------------------ K = 28 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0489028 ALPHA = 0.01696 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 ------------------------------------------------------ K = 28 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0990308 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 10 10 11 ------------------------------------------------------ K = 28 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.149048 ALPHA = 0.0562816 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 10 10 ------------------------------------------------------ K = 28 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.19639 ALPHA = 0.0856417 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 10 ------------------------------------------------------ K = 28 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.230017 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 ------------------------------------------------------ K = 28 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.295236 ALPHA = 0.132951 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 ------------------------------------------------------ K = 28 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.048332 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 4 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 ------------------------------------------------------ K = 28 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0983247 ALPHA = 0.0375977 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 ------------------------------------------------------ K = 28 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.14729 ALPHA = 0.0561468 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 9 10 10 10 11 11 11 12 ------------------------------------------------------ K = 28 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.197779 ALPHA = 0.0713283 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 10 11 11 11 ------------------------------------------------------ K = 28 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.247399 ALPHA = 0.103516 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 ------------------------------------------------------ K = 28 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.298129 ALPHA = 0.138454 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 ------------------------------------------------------ K = 28 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0485545 ALPHA = 0.0174697 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 14 14 15 ------------------------------------------------------ K = 28 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0978517 ALPHA = 0.0313937 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 12 13 13 14 14 ------------------------------------------------------ K = 28 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.148797 ALPHA = 0.0595859 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 ------------------------------------------------------ K = 28 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.191235 ALPHA = 0.079806 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 12 13 ------------------------------------------------------ K = 28 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.248384 ALPHA = 0.0915961 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 12 12 12 13 ------------------------------------------------------ K = 28 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.295673 ALPHA = 0.125291 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 ------------------------------------------------------ K = 28 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.049753 ALPHA = 0.0150062 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 15 16 16 ------------------------------------------------------ K = 28 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0979356 ALPHA = 0.0383263 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 10 11 11 12 12 13 13 14 14 14 15 15 ------------------------------------------------------ K = 28 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.148166 ALPHA = 0.053623 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 14 15 ------------------------------------------------------ K = 28 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.19796 ALPHA = 0.0831847 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 13 13 13 14 14 ------------------------------------------------------ K = 28 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.24621 ALPHA = 0.110635 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 14 ------------------------------------------------------ K = 28 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.271046 ALPHA = 0.121781 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 13 13 14 ------------------------------------------------------ K = 28 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0460832 ALPHA = 0.0175095 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 16 16 17 17 18 ------------------------------------------------------ K = 28 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0999048 ALPHA = 0.0349221 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 13 13 14 14 14 15 15 16 16 17 ------------------------------------------------------ K = 28 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.145498 ALPHA = 0.0565264 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 9 9 10 10 11 11 12 12 12 13 13 14 14 15 15 16 16 ------------------------------------------------------ K = 28 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.199253 ALPHA = 0.0849243 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 12 13 13 14 14 15 15 16 ------------------------------------------------------ K = 28 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.244601 ALPHA = 0.0976709 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 ------------------------------------------------------ K = 28 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.293677 ALPHA = 0.14227 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 15 15 ------------------------------------------------------ K = 28 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0486691 ALPHA = 0.018123 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 7 8 9 9 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 19 19 ------------------------------------------------------ K = 28 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.097933 ALPHA = 0.0357062 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 18 ------------------------------------------------------ K = 28 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.149124 ALPHA = 0.0609632 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 10 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 ------------------------------------------------------ K = 28 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.197871 ALPHA = 0.0871264 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 17 ------------------------------------------------------ K = 28 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.247165 ALPHA = 0.095983 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 17 17 ------------------------------------------------------ K = 28 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.286855 ALPHA = 0.130765 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 ------------------------------------------------------ K = 28 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.047503 ALPHA = 0.0175781 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 9 9 10 11 11 12 12 13 14 14 15 16 16 17 17 18 19 19 20 21 ------------------------------------------------------ K = 28 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0970549 ALPHA = 0.0351562 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 9 9 10 11 11 12 13 13 14 14 15 16 16 17 17 18 19 19 20 ------------------------------------------------------ K = 28 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.144829 ALPHA = 0.0610391 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 16 17 17 18 18 19 ------------------------------------------------------ K = 28 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.199743 ALPHA = 0.0843188 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 19 ------------------------------------------------------ K = 28 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.237299 ALPHA = 0.105057 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 13 13 14 14 15 15 16 17 17 18 18 ------------------------------------------------------ K = 28 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.275708 ALPHA = 0.123894 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 ------------------------------------------------------ K = 29 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0496113 ALPHA = 0.0225925 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 ------------------------------------------------------ K = 29 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0910637 ALPHA = 0.0490739 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 ------------------------------------------------------ K = 29 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.14356 ALPHA = 0.0665464 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 29 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.198504 ALPHA = 0.0975 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 ------------------------------------------------------ K = 29 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.2435 ALPHA = 0.138632 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 29 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.295084 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 ------------------------------------------------------ K = 29 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0487135 ALPHA = 0.0179067 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 ------------------------------------------------------ K = 29 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0987376 ALPHA = 0.0431745 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 ------------------------------------------------------ K = 29 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.147345 ALPHA = 0.0684062 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 ------------------------------------------------------ K = 29 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.195851 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 ------------------------------------------------------ K = 29 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.246488 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 ------------------------------------------------------ K = 29 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.298582 ALPHA = 0.142112 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 ------------------------------------------------------ K = 29 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0491303 ALPHA = 0.0177108 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 10 ------------------------------------------------------ K = 29 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0977025 ALPHA = 0.0341646 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 ------------------------------------------------------ K = 29 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.140591 ALPHA = 0.0585832 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 ------------------------------------------------------ K = 29 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.19481 ALPHA = 0.0833266 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 ------------------------------------------------------ K = 29 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.244416 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 ------------------------------------------------------ K = 29 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.294468 ALPHA = 0.144442 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 ------------------------------------------------------ K = 29 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0489028 ALPHA = 0.01696 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 ------------------------------------------------------ K = 29 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0998777 ALPHA = 0.0376634 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 10 10 11 11 ------------------------------------------------------ K = 29 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.146392 ALPHA = 0.0561446 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 ------------------------------------------------------ K = 29 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.19799 ALPHA = 0.0856417 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 10 10 ------------------------------------------------------ K = 29 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.230017 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 ------------------------------------------------------ K = 29 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.299729 ALPHA = 0.132951 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 ------------------------------------------------------ K = 29 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.048332 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 4 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 14 ------------------------------------------------------ K = 29 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0983247 ALPHA = 0.0375977 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 ------------------------------------------------------ K = 29 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.149177 ALPHA = 0.0561468 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 9 10 10 10 11 11 11 12 12 ------------------------------------------------------ K = 29 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.197779 ALPHA = 0.0713283 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 10 11 11 11 12 ------------------------------------------------------ K = 29 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.237134 ALPHA = 0.101812 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 ------------------------------------------------------ K = 29 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.298129 ALPHA = 0.138454 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 11 ------------------------------------------------------ K = 29 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0495828 ALPHA = 0.0174697 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 14 14 15 15 ------------------------------------------------------ K = 29 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0994188 ALPHA = 0.03078 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 14 14 14 ------------------------------------------------------ K = 29 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.148797 ALPHA = 0.0595859 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 14 ------------------------------------------------------ K = 29 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.194772 ALPHA = 0.079806 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 12 13 13 ------------------------------------------------------ K = 29 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.247717 ALPHA = 0.09 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 12 13 13 ------------------------------------------------------ K = 29 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.295673 ALPHA = 0.125291 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 13 ------------------------------------------------------ K = 29 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.049753 ALPHA = 0.0150062 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 15 16 16 17 ------------------------------------------------------ K = 29 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0979356 ALPHA = 0.0383263 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 10 11 11 12 12 13 13 14 14 14 15 15 16 ------------------------------------------------------ K = 29 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.149161 ALPHA = 0.0535882 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 15 15 15 ------------------------------------------------------ K = 29 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.19796 ALPHA = 0.0831847 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 13 13 13 14 14 15 ------------------------------------------------------ K = 29 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.247446 ALPHA = 0.106982 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 14 14 14 ------------------------------------------------------ K = 29 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.275957 ALPHA = 0.121781 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 13 13 14 14 ------------------------------------------------------ K = 29 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479803 ALPHA = 0.0175095 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 ------------------------------------------------------ K = 29 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0991456 ALPHA = 0.0343915 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 15 16 16 17 17 ------------------------------------------------------ K = 29 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.145498 ALPHA = 0.0565264 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 9 9 10 10 11 11 12 12 12 13 13 14 14 15 15 16 16 17 ------------------------------------------------------ K = 29 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.197058 ALPHA = 0.0778011 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 14 15 15 16 16 ------------------------------------------------------ K = 29 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.24871 ALPHA = 0.0976709 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 ------------------------------------------------------ K = 29 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.299275 ALPHA = 0.136213 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 10 11 11 12 12 13 13 14 14 15 15 15 ------------------------------------------------------ K = 29 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0486691 ALPHA = 0.018123 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 7 8 9 9 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 19 19 20 ------------------------------------------------------ K = 29 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.097933 ALPHA = 0.0357062 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 18 19 ------------------------------------------------------ K = 29 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.148265 ALPHA = 0.0580341 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 18 ------------------------------------------------------ K = 29 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.197871 ALPHA = 0.0871264 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 ------------------------------------------------------ K = 29 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.247165 ALPHA = 0.095983 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 17 17 18 ------------------------------------------------------ K = 29 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.293012 ALPHA = 0.130765 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 17 ------------------------------------------------------ K = 29 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0492606 ALPHA = 0.0175781 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 9 9 10 11 11 12 12 13 14 14 15 16 16 17 17 18 19 19 20 21 21 ------------------------------------------------------ K = 29 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0958011 ALPHA = 0.0327148 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 8 8 9 9 10 11 11 12 13 13 14 14 15 16 16 17 17 18 19 19 20 20 ------------------------------------------------------ K = 29 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.144829 ALPHA = 0.0610391 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 16 17 17 18 18 19 20 ------------------------------------------------------ K = 29 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.197103 ALPHA = 0.0757948 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11 12 12 13 14 14 15 15 16 16 17 18 18 19 19 ------------------------------------------------------ K = 29 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.237299 ALPHA = 0.105057 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 13 13 14 14 15 15 16 17 17 18 18 19 ------------------------------------------------------ K = 29 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.275708 ALPHA = 0.123894 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 19 ------------------------------------------------------ K = 30 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0454808 ALPHA = 0.0221825 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 ------------------------------------------------------ K = 30 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0912773 ALPHA = 0.0490739 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 ------------------------------------------------------ K = 30 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.147265 ALPHA = 0.0665464 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 30 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.174052 ALPHA = 0.094823 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 30 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.244712 ALPHA = 0.138632 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 30 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.295469 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 ------------------------------------------------------ K = 30 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.0489739 ALPHA = 0.0179067 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 8 ------------------------------------------------------ K = 30 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.097413 ALPHA = 0.0398593 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 ------------------------------------------------------ K = 30 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.147345 ALPHA = 0.0684062 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 ------------------------------------------------------ K = 30 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.199368 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 ------------------------------------------------------ K = 30 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.249676 ALPHA = 0.1 The upper boundary b_1, ..., b_K: 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 ------------------------------------------------------ K = 30 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.299465 ALPHA = 0.142112 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 ------------------------------------------------------ K = 30 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0495842 ALPHA = 0.0177108 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 ------------------------------------------------------ K = 30 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0999747 ALPHA = 0.0341646 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 ------------------------------------------------------ K = 30 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.140591 ALPHA = 0.0585832 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 ------------------------------------------------------ K = 30 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.198744 ALPHA = 0.0833266 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 ------------------------------------------------------ K = 30 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.246904 ALPHA = 0.109519 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 ------------------------------------------------------ K = 30 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.294468 ALPHA = 0.144442 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 ------------------------------------------------------ K = 30 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0495007 ALPHA = 0.01696 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 ------------------------------------------------------ K = 30 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0991526 ALPHA = 0.036175 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 9 10 10 10 11 11 11 ------------------------------------------------------ K = 30 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.146392 ALPHA = 0.0561446 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 11 ------------------------------------------------------ K = 30 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.193442 ALPHA = 0.0816879 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 10 10 10 ------------------------------------------------------ K = 30 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.231731 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 10 ------------------------------------------------------ K = 30 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.298688 ALPHA = 0.131291 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 ------------------------------------------------------ K = 30 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0488578 ALPHA = 0.015625 The upper boundary b_1, ..., b_K: 2 3 4 4 4 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 14 14 ------------------------------------------------------ K = 30 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.0995728 ALPHA = 0.0375977 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 ------------------------------------------------------ K = 30 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.147973 ALPHA = 0.0544022 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 ------------------------------------------------------ K = 30 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.199871 ALPHA = 0.0713283 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 10 11 11 11 12 12 ------------------------------------------------------ K = 30 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.237134 ALPHA = 0.101812 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 12 ------------------------------------------------------ K = 30 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.295866 ALPHA = 0.129913 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 ------------------------------------------------------ K = 30 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0494063 ALPHA = 0.0169373 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 12 13 13 14 14 14 15 15 15 ------------------------------------------------------ K = 30 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0994188 ALPHA = 0.03078 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 14 14 14 15 ------------------------------------------------------ K = 30 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.147726 ALPHA = 0.0579676 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 13 13 13 14 14 ------------------------------------------------------ K = 30 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.194772 ALPHA = 0.079806 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 12 13 13 14 ------------------------------------------------------ K = 30 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.223537 ALPHA = 0.0844701 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 12 13 13 13 ------------------------------------------------------ K = 30 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.298276 ALPHA = 0.125291 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 13 13 ------------------------------------------------------ K = 30 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0442285 ALPHA = 0.0149653 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 15 16 16 17 17 ------------------------------------------------------ K = 30 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.097615 ALPHA = 0.0377051 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 14 15 15 16 16 ------------------------------------------------------ K = 30 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.149161 ALPHA = 0.0535882 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 15 15 15 16 ------------------------------------------------------ K = 30 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.198151 ALPHA = 0.0771815 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 14 15 15 ------------------------------------------------------ K = 30 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.247446 ALPHA = 0.106982 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 14 14 14 15 ------------------------------------------------------ K = 30 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.275957 ALPHA = 0.121781 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 13 13 14 14 15 ------------------------------------------------------ K = 30 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0479803 ALPHA = 0.0175095 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 ------------------------------------------------------ K = 30 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0991456 ALPHA = 0.0343915 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 15 16 16 17 17 18 ------------------------------------------------------ K = 30 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.149395 ALPHA = 0.0565264 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 9 9 10 10 11 11 12 12 12 13 13 14 14 15 15 16 16 17 17 ------------------------------------------------------ K = 30 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.197058 ALPHA = 0.0778011 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 14 15 15 16 16 17 ------------------------------------------------------ K = 30 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.243558 ALPHA = 0.096256 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 ------------------------------------------------------ K = 30 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.299275 ALPHA = 0.136213 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 10 11 11 12 12 13 13 14 14 15 15 15 16 ------------------------------------------------------ K = 30 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0463191 ALPHA = 0.0173569 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 9 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 19 19 20 20 ------------------------------------------------------ K = 30 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0949041 ALPHA = 0.0355749 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 18 19 19 ------------------------------------------------------ K = 30 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.148265 ALPHA = 0.0580341 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 18 19 ------------------------------------------------------ K = 30 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.199812 ALPHA = 0.0825896 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 11 12 13 13 14 14 15 15 16 16 17 17 18 18 ------------------------------------------------------ K = 30 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.248082 ALPHA = 0.0936708 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 16 16 17 17 18 18 ------------------------------------------------------ K = 30 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.293012 ALPHA = 0.130765 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 ------------------------------------------------------ K = 30 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.0492606 ALPHA = 0.0175781 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 9 9 10 11 11 12 12 13 14 14 15 16 16 17 17 18 19 19 20 21 21 22 ------------------------------------------------------ K = 30 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0958011 ALPHA = 0.0327148 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 8 8 9 9 10 11 11 12 13 13 14 14 15 16 16 17 17 18 19 19 20 20 21 ------------------------------------------------------ K = 30 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.149259 ALPHA = 0.0610391 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 16 17 17 18 18 19 20 20 ------------------------------------------------------ K = 30 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.197103 ALPHA = 0.0757948 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11 12 12 13 14 14 15 15 16 16 17 18 18 19 19 20 ------------------------------------------------------ K = 30 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.246142 ALPHA = 0.105057 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 13 13 14 14 15 15 16 17 17 18 18 19 19 ------------------------------------------------------ K = 30 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.28151 ALPHA = 0.123894 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 19 19 ------------------------------------------------------ K = 31 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0469369 ALPHA = 0.0221825 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 ------------------------------------------------------ K = 31 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0917125 ALPHA = 0.0490739 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 ------------------------------------------------------ K = 31 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.147265 ALPHA = 0.0665464 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 ------------------------------------------------------ K = 31 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.177238 ALPHA = 0.094823 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 31 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.246327 ALPHA = 0.138632 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 ------------------------------------------------------ K = 31 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.296241 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 ------------------------------------------------------ K = 31 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.04952 ALPHA = 0.0179067 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 ------------------------------------------------------ K = 31 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0995209 ALPHA = 0.0398593 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 ------------------------------------------------------ K = 31 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.147904 ALPHA = 0.0684062 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 ------------------------------------------------------ K = 31 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.199384 ALPHA = 0.0979936 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 ------------------------------------------------------ K = 31 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.203794 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 ------------------------------------------------------ K = 31 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.295531 ALPHA = 0.133883 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 ------------------------------------------------------ K = 31 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0491591 ALPHA = 0.0168101 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 ------------------------------------------------------ K = 31 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0972182 ALPHA = 0.0339315 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 10 ------------------------------------------------------ K = 31 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.141545 ALPHA = 0.0585832 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 ------------------------------------------------------ K = 31 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.197764 ALPHA = 0.0822044 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 ------------------------------------------------------ K = 31 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.232247 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 ------------------------------------------------------ K = 31 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.295776 ALPHA = 0.144442 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 ------------------------------------------------------ K = 31 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0463336 ALPHA = 0.0162801 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 ------------------------------------------------------ K = 31 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0952511 ALPHA = 0.0327935 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 ------------------------------------------------------ K = 31 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.147575 ALPHA = 0.0561446 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 11 11 ------------------------------------------------------ K = 31 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.19872 ALPHA = 0.0816879 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 ------------------------------------------------------ K = 31 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.235264 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 ------------------------------------------------------ K = 31 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.298688 ALPHA = 0.131291 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 10 ------------------------------------------------------ K = 31 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0449682 ALPHA = 0.0154682 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 14 14 14 ------------------------------------------------------ K = 31 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.094469 ALPHA = 0.0343275 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 ------------------------------------------------------ K = 31 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.147973 ALPHA = 0.0544022 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 13 ------------------------------------------------------ K = 31 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.193224 ALPHA = 0.0678966 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 ------------------------------------------------------ K = 31 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.239179 ALPHA = 0.101812 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 12 12 ------------------------------------------------------ K = 31 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.291677 ALPHA = 0.121318 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 11 11 11 12 ------------------------------------------------------ K = 31 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0494063 ALPHA = 0.0169373 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 12 13 13 14 14 14 15 15 15 16 ------------------------------------------------------ K = 31 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0950074 ALPHA = 0.0292654 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 14 14 14 15 15 ------------------------------------------------------ K = 31 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.145177 ALPHA = 0.0546002 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 13 13 13 14 14 14 ------------------------------------------------------ K = 31 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.196949 ALPHA = 0.079806 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 12 13 13 14 14 ------------------------------------------------------ K = 31 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.223537 ALPHA = 0.0844701 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 12 13 13 13 14 ------------------------------------------------------ K = 31 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.296788 ALPHA = 0.117849 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 12 13 13 13 ------------------------------------------------------ K = 31 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0442285 ALPHA = 0.0149653 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 15 16 16 17 17 18 ------------------------------------------------------ K = 31 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.097615 ALPHA = 0.0377051 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 14 15 15 16 16 17 ------------------------------------------------------ K = 31 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.146141 ALPHA = 0.0531666 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 15 15 15 16 16 ------------------------------------------------------ K = 31 THETA = 0.35 PHI = 0.2 pr(Hitting the upper boundary) = 0.198151 ALPHA = 0.0771815 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 14 15 15 16 ------------------------------------------------------ K = 31 THETA = 0.35 PHI = 0.25 pr(Hitting the upper boundary) = 0.248169 ALPHA = 0.106091 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 12 13 13 14 14 14 15 15 ------------------------------------------------------ K = 31 THETA = 0.35 PHI = 0.3 pr(Hitting the upper boundary) = 0.279444 ALPHA = 0.121781 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 13 13 14 14 15 15 ------------------------------------------------------ K = 31 THETA = 0.4 PHI = 0.05 pr(Hitting the upper boundary) = 0.0497338 ALPHA = 0.0175095 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 ------------------------------------------------------ K = 31 THETA = 0.4 PHI = 0.1 pr(Hitting the upper boundary) = 0.0978196 ALPHA = 0.033697 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 8 9 9 10 11 11 12 12 13 13 14 14 15 15 16 16 16 17 17 18 18 ------------------------------------------------------ K = 31 THETA = 0.4 PHI = 0.15 pr(Hitting the upper boundary) = 0.149395 ALPHA = 0.0565264 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 9 9 10 10 11 11 12 12 12 13 13 14 14 15 15 16 16 17 17 18 ------------------------------------------------------ K = 31 THETA = 0.4 PHI = 0.2 pr(Hitting the upper boundary) = 0.198698 ALPHA = 0.0743283 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 15 16 16 17 17 ------------------------------------------------------ K = 31 THETA = 0.4 PHI = 0.25 pr(Hitting the upper boundary) = 0.247239 ALPHA = 0.096256 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 ------------------------------------------------------ K = 31 THETA = 0.4 PHI = 0.3 pr(Hitting the upper boundary) = 0.297624 ALPHA = 0.128382 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 15 15 16 16 16 ------------------------------------------------------ K = 31 THETA = 0.45 PHI = 0.05 pr(Hitting the upper boundary) = 0.0463191 ALPHA = 0.0173569 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 8 9 9 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 19 19 20 20 21 ------------------------------------------------------ K = 31 THETA = 0.45 PHI = 0.1 pr(Hitting the upper boundary) = 0.0949041 ALPHA = 0.0355749 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 17 18 18 19 19 20 ------------------------------------------------------ K = 31 THETA = 0.45 PHI = 0.15 pr(Hitting the upper boundary) = 0.147224 ALPHA = 0.0505194 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 ------------------------------------------------------ K = 31 THETA = 0.45 PHI = 0.2 pr(Hitting the upper boundary) = 0.199812 ALPHA = 0.0825896 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 9 10 10 11 11 12 13 13 14 14 15 15 16 16 17 17 18 18 19 ------------------------------------------------------ K = 31 THETA = 0.45 PHI = 0.25 pr(Hitting the upper boundary) = 0.248082 ALPHA = 0.0936708 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 16 16 17 17 18 18 19 ------------------------------------------------------ K = 31 THETA = 0.45 PHI = 0.3 pr(Hitting the upper boundary) = 0.298893 ALPHA = 0.130765 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 18 ------------------------------------------------------ K = 31 THETA = 0.5 PHI = 0.05 pr(Hitting the upper boundary) = 0.049702 ALPHA = 0.0173448 The upper boundary b_1, ..., b_K: 2 3 4 5 6 6 7 8 9 9 10 11 11 12 13 13 14 14 15 16 16 17 17 18 19 19 20 21 21 22 22 ------------------------------------------------------ K = 31 THETA = 0.5 PHI = 0.1 pr(Hitting the upper boundary) = 0.0958011 ALPHA = 0.0327148 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 8 8 9 9 10 11 11 12 13 13 14 14 15 16 16 17 17 18 19 19 20 20 21 22 ------------------------------------------------------ K = 31 THETA = 0.5 PHI = 0.15 pr(Hitting the upper boundary) = 0.149259 ALPHA = 0.0610391 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 16 17 17 18 18 19 20 20 21 ------------------------------------------------------ K = 31 THETA = 0.5 PHI = 0.2 pr(Hitting the upper boundary) = 0.193887 ALPHA = 0.072998 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 8 8 9 9 10 11 11 12 12 13 14 14 15 15 16 17 17 18 18 19 19 20 21 ------------------------------------------------------ K = 31 THETA = 0.5 PHI = 0.25 pr(Hitting the upper boundary) = 0.246142 ALPHA = 0.105057 The upper boundary b_1, ..., b_K: 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 11 12 13 13 14 14 15 15 16 17 17 18 18 19 19 20 ------------------------------------------------------ K = 31 THETA = 0.5 PHI = 0.3 pr(Hitting the upper boundary) = 0.28151 ALPHA = 0.123894 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 17 18 19 19 20 ------------------------------------------------------ K = 32 THETA = 0.05 PHI = 0.05 pr(Hitting the upper boundary) = 0.0486122 ALPHA = 0.0221825 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 ------------------------------------------------------ K = 32 THETA = 0.05 PHI = 0.1 pr(Hitting the upper boundary) = 0.0923768 ALPHA = 0.0490739 The upper boundary b_1, ..., b_K: 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 ------------------------------------------------------ K = 32 THETA = 0.05 PHI = 0.15 pr(Hitting the upper boundary) = 0.147469 ALPHA = 0.0665464 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 ------------------------------------------------------ K = 32 THETA = 0.05 PHI = 0.2 pr(Hitting the upper boundary) = 0.180814 ALPHA = 0.094823 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 ------------------------------------------------------ K = 32 THETA = 0.05 PHI = 0.25 pr(Hitting the upper boundary) = 0.248341 ALPHA = 0.138632 The upper boundary b_1, ..., b_K: 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 ------------------------------------------------------ K = 32 THETA = 0.05 PHI = 0.3 pr(Hitting the upper boundary) = 0.297397 ALPHA = 0.170953 The upper boundary b_1, ..., b_K: 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 ------------------------------------------------------ K = 32 THETA = 0.1 PHI = 0.05 pr(Hitting the upper boundary) = 0.048985 ALPHA = 0.017004 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 ------------------------------------------------------ K = 32 THETA = 0.1 PHI = 0.1 pr(Hitting the upper boundary) = 0.0950741 ALPHA = 0.0358489 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 ------------------------------------------------------ K = 32 THETA = 0.1 PHI = 0.15 pr(Hitting the upper boundary) = 0.149054 ALPHA = 0.0684062 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 ------------------------------------------------------ K = 32 THETA = 0.1 PHI = 0.2 pr(Hitting the upper boundary) = 0.19521 ALPHA = 0.0895619 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 ------------------------------------------------------ K = 32 THETA = 0.1 PHI = 0.25 pr(Hitting the upper boundary) = 0.209125 ALPHA = 0.0981968 The upper boundary b_1, ..., b_K: 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 ------------------------------------------------------ K = 32 THETA = 0.1 PHI = 0.3 pr(Hitting the upper boundary) = 0.298765 ALPHA = 0.133883 The upper boundary b_1, ..., b_K: 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 ------------------------------------------------------ K = 32 THETA = 0.15 PHI = 0.05 pr(Hitting the upper boundary) = 0.0493826 ALPHA = 0.0163302 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 ------------------------------------------------------ K = 32 THETA = 0.15 PHI = 0.1 pr(Hitting the upper boundary) = 0.0977025 ALPHA = 0.0339315 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 ------------------------------------------------------ K = 32 THETA = 0.15 PHI = 0.15 pr(Hitting the upper boundary) = 0.143519 ALPHA = 0.0585832 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 ------------------------------------------------------ K = 32 THETA = 0.15 PHI = 0.2 pr(Hitting the upper boundary) = 0.197764 ALPHA = 0.0822044 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 ------------------------------------------------------ K = 32 THETA = 0.15 PHI = 0.25 pr(Hitting the upper boundary) = 0.237631 ALPHA = 0.105213 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 ------------------------------------------------------ K = 32 THETA = 0.15 PHI = 0.3 pr(Hitting the upper boundary) = 0.298442 ALPHA = 0.144442 The upper boundary b_1, ..., b_K: 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 ------------------------------------------------------ K = 32 THETA = 0.2 PHI = 0.05 pr(Hitting the upper boundary) = 0.0484649 ALPHA = 0.0167163 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 ------------------------------------------------------ K = 32 THETA = 0.2 PHI = 0.1 pr(Hitting the upper boundary) = 0.0952511 ALPHA = 0.0327935 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 12 ------------------------------------------------------ K = 32 THETA = 0.2 PHI = 0.15 pr(Hitting the upper boundary) = 0.147342 ALPHA = 0.051271 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 11 11 11 ------------------------------------------------------ K = 32 THETA = 0.2 PHI = 0.2 pr(Hitting the upper boundary) = 0.19872 ALPHA = 0.0816879 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 ------------------------------------------------------ K = 32 THETA = 0.2 PHI = 0.25 pr(Hitting the upper boundary) = 0.240694 ALPHA = 0.0991306 The upper boundary b_1, ..., b_K: 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 ------------------------------------------------------ K = 32 THETA = 0.2 PHI = 0.3 pr(Hitting the upper boundary) = 0.296745 ALPHA = 0.12984 The upper boundary b_1, ..., b_K: 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 ------------------------------------------------------ K = 32 THETA = 0.25 PHI = 0.05 pr(Hitting the upper boundary) = 0.0449682 ALPHA = 0.0154682 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 14 14 14 15 ------------------------------------------------------ K = 32 THETA = 0.25 PHI = 0.1 pr(Hitting the upper boundary) = 0.094469 ALPHA = 0.0343275 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 14 ------------------------------------------------------ K = 32 THETA = 0.25 PHI = 0.15 pr(Hitting the upper boundary) = 0.149687 ALPHA = 0.0544022 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 13 13 ------------------------------------------------------ K = 32 THETA = 0.25 PHI = 0.2 pr(Hitting the upper boundary) = 0.193224 ALPHA = 0.0678966 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 13 ------------------------------------------------------ K = 32 THETA = 0.25 PHI = 0.25 pr(Hitting the upper boundary) = 0.243499 ALPHA = 0.101812 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 ------------------------------------------------------ K = 32 THETA = 0.25 PHI = 0.3 pr(Hitting the upper boundary) = 0.293762 ALPHA = 0.121318 The upper boundary b_1, ..., b_K: 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 11 11 11 12 12 ------------------------------------------------------ K = 32 THETA = 0.3 PHI = 0.05 pr(Hitting the upper boundary) = 0.0494177 ALPHA = 0.0152425 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 12 13 13 14 14 14 15 15 16 16 16 ------------------------------------------------------ K = 32 THETA = 0.3 PHI = 0.1 pr(Hitting the upper boundary) = 0.0950074 ALPHA = 0.0292654 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 11 12 12 13 13 13 14 14 14 15 15 16 ------------------------------------------------------ K = 32 THETA = 0.3 PHI = 0.15 pr(Hitting the upper boundary) = 0.145177 ALPHA = 0.0546002 The upper boundary b_1, ..., b_K: 2 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 13 13 13 14 14 14 15 ------------------------------------------------------ K = 32 THETA = 0.3 PHI = 0.2 pr(Hitting the upper boundary) = 0.198847 ALPHA = 0.0782248 The upper boundary b_1, ..., b_K: 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 13 13 13 14 14 14 ------------------------------------------------------ K = 32 THETA = 0.3 PHI = 0.25 pr(Hitting the upper boundary) = 0.226644 ALPHA = 0.0844701 The upper boundary b_1, ..., b_K: 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 12 13 13 13 14 14 ------------------------------------------------------ K = 32 THETA = 0.3 PHI = 0.3 pr(Hitting the upper boundary) = 0.296788 ALPHA = 0.117849 The upper boundary b_1, ..., b_K: 2 2 3 3 4 4 5 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 12 13 13 13 14 ------------------------------------------------------ K = 32 THETA = 0.35 PHI = 0.05 pr(Hitting the upper boundary) = 0.0453783 ALPHA = 0.0149653 The upper boundary b_1, ..., b_K: 2 3 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 15 16 16 17 17 18 18 ------------------------------------------------------ K = 32 THETA = 0.35 PHI = 0.1 pr(Hitting the upper boundary) = 0.0995782 ALPHA = 0.0377051 The upper boundary b_1, ..., b_K: 2 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 14 15 15 16 16 17 17 ------------------------------------------------------ K = 32 THETA = 0.35 PHI = 0.15 pr(Hitting the upper boundary) = 0.146141 ALPHA = 0.0531666 The upper boundary b_1, ..., b_K: 2 3 3 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 11 12 12 13 13 14 14 15 15 15 16 16 17 --------------------------------------------------