KIV6GAU: Estimation of LSDV with one exog variable and one lagged dep var Follows Kiviet 1995 and Arellano&Bond 1991 Second try at 10,000 draws In this version, draw a fresh X vector each time kiv7c checks for wild draws using rho=0.5 NDraw=1000 NStart=50 T N SgS Mu Par Stat OLS LSDV LSDVc A-HIV Gamma results, case 1 5 20 2 1 0.2 MEAN 0.207 -0.148 0.001 0.017 STDEV 0.092 0.089 0.110 0.194 MEDIAN 0.209 -0.144 0.000 0.012 RMSE 0.226 0.173 0.109 0.194 PCT05 0.050 -0.301 -0.166 -0.274 PCT25 0.148 -0.210 -0.075 -0.109 PCT75 0.270 -0.091 0.063 0.126 PCT95 0.353 -0.004 0.190 0.335 Beta results, case 1 5 20 2 1 0.8 MEAN -0.087 0.008 0.005 0.004 STDEV 0.104 0.111 0.112 0.132 MEDIAN -0.084 0.001 -0.002 -0.003 RMSE 0.136 0.111 0.112 0.132 PCT05 -0.251 -0.169 -0.173 -0.211 PCT25 -0.156 -0.067 -0.072 -0.087 PCT75 -0.025 0.084 0.080 0.095 PCT95 0.091 0.194 0.194 0.224 Time to run 1000 draws= 0.17 minutes Gamma results, case 2 5 20 2 1 0.8 MEAN 0.033 -0.507 -0.190 0.060 STDEV 0.062 0.130 0.160 1.861 MEDIAN 0.036 -0.508 -0.175 0.029 RMSE 0.071 0.524 0.248 1.861 PCT05 -0.075 -0.718 -0.482 -0.682 PCT25 -0.008 -0.594 -0.298 -0.261 PCT75 0.077 -0.421 -0.073 0.327 PCT95 0.123 -0.294 0.056 1.109 Beta results, case 2 5 20 2 1 0.2 MEAN -0.001 -0.024 -0.007 0.002 STDEV 0.133 0.171 0.184 0.381 MEDIAN -0.006 -0.032 -0.012 -0.002 RMSE 0.133 0.172 0.184 0.381 PCT05 -0.221 -0.294 -0.302 -0.398 PCT25 -0.089 -0.141 -0.139 -0.147 PCT75 0.086 0.087 0.111 0.150 PCT95 0.217 0.274 0.311 0.418 Time to run 1000 draws= 0.17 minutes Gamma results, case 3 5 20 8 1 0.2 MEAN 0.089 -0.057 0.002 0.004 STDEV 0.058 0.057 0.061 0.121 MEDIAN 0.089 -0.057 0.001 0.002 RMSE 0.107 0.081 0.061 0.121 PCT05 -0.009 -0.152 -0.098 -0.187 PCT25 0.049 -0.094 -0.038 -0.070 PCT75 0.127 -0.020 0.037 0.078 PCT95 0.185 0.036 0.105 0.202 Beta results, case 3 5 20 8 1 0.8 MEAN -0.037 0.003 0.001 0.001 STDEV 0.055 0.055 0.055 0.065 MEDIAN -0.038 -0.002 -0.003 0.000 RMSE 0.066 0.055 0.055 0.065 PCT05 -0.125 -0.084 -0.085 -0.101 PCT25 -0.072 -0.036 -0.037 -0.045 PCT75 -0.002 0.040 0.039 0.045 PCT95 0.057 0.093 0.092 0.107 Time to run 1000 draws= 0.17 minutes Gamma results, case 4 5 20 8 1 0.8 MEAN 0.013 -0.255 -0.039 0.086 STDEV 0.041 0.102 0.128 2.139 MEDIAN 0.013 -0.250 -0.035 0.005 RMSE 0.043 0.275 0.134 2.140 PCT05 -0.058 -0.422 -0.250 -0.648 PCT25 -0.012 -0.322 -0.126 -0.220 PCT75 0.042 -0.185 0.055 0.229 PCT95 0.079 -0.091 0.164 0.877 Beta results, case 4 5 20 8 1 0.2 MEAN -0.001 -0.013 -0.003 0.008 STDEV 0.026 0.034 0.044 0.154 MEDIAN -0.001 -0.015 -0.003 0.002 RMSE 0.026 0.037 0.044 0.154 PCT05 -0.041 -0.067 -0.062 -0.079 PCT25 -0.018 -0.038 -0.026 -0.032 PCT75 0.015 0.009 0.022 0.032 PCT95 0.043 0.046 0.062 0.101 Time to run 1000 draws= 0.17 minutes Gamma results, case 5 5 20 2 5 0.2 MEAN 0.718 -0.148 0.010 0.586 STDEV 0.041 0.089 0.134 17.026 MEDIAN 0.723 -0.144 -0.003 0.004 RMSE 0.719 0.173 0.134 17.028 PCT05 0.644 -0.301 -0.182 -0.936 PCT25 0.695 -0.210 -0.077 -0.230 PCT75 0.744 -0.091 0.089 0.277 PCT95 0.775 -0.004 0.266 1.435 Beta results, case 5 5 20 2 5 0.8 MEAN -0.302 0.008 0.017 0.137 STDEV 0.116 0.111 0.167 4.623 MEDIAN -0.309 0.001 0.015 -0.001 RMSE 0.323 0.111 0.168 4.623 PCT05 -0.487 -0.169 -0.172 -0.295 PCT25 -0.380 -0.067 -0.066 -0.104 PCT75 -0.223 0.084 0.096 0.116 PCT95 -0.114 0.194 0.236 0.357 Time to run 1000 draws= 0.17 minutes Gamma results, case 6 5 20 2 5 0.8 MEAN 0.174 -0.507 -0.283 0.909 STDEV 0.023 0.130 0.191 39.791 MEDIAN 0.175 -0.508 -0.279 -0.124 RMSE 0.176 0.524 0.341 39.782 PCT05 0.135 -0.718 -0.604 -3.608 PCT25 0.160 -0.594 -0.421 -0.700 PCT75 0.190 -0.421 -0.139 0.587 PCT95 0.208 -0.294 0.012 3.659 Beta results, case 6 5 20 2 5 0.2 MEAN -0.025 -0.024 -0.003 0.067 STDEV 0.133 0.171 0.433 4.004 MEDIAN -0.029 -0.032 -0.015 -0.021 RMSE 0.135 0.172 0.433 4.003 PCT05 -0.237 -0.294 -0.308 -0.584 PCT25 -0.112 -0.141 -0.148 -0.187 PCT75 0.063 0.087 0.110 0.144 PCT95 0.203 0.274 0.308 0.642 Time to run 1000 draws= 0.17 minutes Gamma results, case 7 5 20 8 5 0.2 MEAN 0.609 -0.057 0.014 0.031 STDEV 0.063 0.057 0.081 1.219 MEDIAN 0.616 -0.057 0.007 -0.004 RMSE 0.613 0.081 0.082 1.219 PCT05 0.494 -0.152 -0.095 -0.350 PCT25 0.572 -0.094 -0.037 -0.114 PCT75 0.652 -0.020 0.051 0.125 PCT95 0.699 0.036 0.136 0.445 Beta results, case 7 5 20 8 5 0.8 MEAN -0.257 0.003 0.005 0.012 STDEV 0.089 0.055 0.058 0.309 MEDIAN -0.258 -0.002 0.000 0.002 RMSE 0.272 0.055 0.058 0.309 PCT05 -0.413 -0.084 -0.085 -0.127 PCT25 -0.315 -0.036 -0.036 -0.050 PCT75 -0.197 0.040 0.043 0.051 PCT95 -0.108 0.093 0.102 0.146 Time to run 1000 draws= 0.17 minutes Gamma results, case 8 5 20 8 5 0.8 MEAN 0.146 -0.255 -0.071 -0.161 STDEV 0.027 0.102 0.142 7.082 MEDIAN 0.147 -0.250 -0.073 -0.048 RMSE 0.148 0.275 0.159 7.081 PCT05 0.098 -0.422 -0.325 -2.653 PCT25 0.130 -0.322 -0.164 -0.401 PCT75 0.164 -0.185 0.030 0.316 PCT95 0.187 -0.091 0.159 2.038 Beta results, case 8 5 20 8 5 0.2 MEAN -0.022 -0.013 -0.005 -0.017 STDEV 0.029 0.034 0.048 0.651 MEDIAN -0.021 -0.015 -0.005 -0.005 RMSE 0.036 0.037 0.049 0.651 PCT05 -0.069 -0.067 -0.065 -0.198 PCT25 -0.041 -0.038 -0.031 -0.050 PCT75 -0.004 0.009 0.021 0.037 PCT95 0.028 0.046 0.062 0.195 Time to run 1000 draws= 0.17 minutes Gamma results, case 9 5 100 2 1 0.2 MEAN 0.225 -0.147 -0.006 0.001 STDEV 0.039 0.040 0.046 0.077 MEDIAN 0.227 -0.147 -0.007 0.000 RMSE 0.228 0.152 0.046 0.077 PCT05 0.158 -0.211 -0.078 -0.117 PCT25 0.199 -0.173 -0.037 -0.054 PCT75 0.251 -0.120 0.024 0.052 PCT95 0.286 -0.083 0.071 0.123 Beta results, case 9 5 100 2 1 0.8 MEAN -0.098 0.006 0.001 0.000 STDEV 0.044 0.045 0.045 0.054 MEDIAN -0.098 0.005 0.001 0.001 RMSE 0.108 0.045 0.045 0.054 PCT05 -0.172 -0.067 -0.072 -0.089 PCT25 -0.128 -0.025 -0.031 -0.038 PCT75 -0.068 0.037 0.032 0.037 PCT95 -0.026 0.079 0.076 0.091 Time to run 1000 draws= 0.52 minutes Gamma results, case 10 5 100 2 1 0.8 MEAN 0.049 -0.504 -0.131 0.007 STDEV 0.026 0.058 0.080 0.202 MEDIAN 0.050 -0.505 -0.123 -0.005 RMSE 0.055 0.507 0.154 0.202 PCT05 0.007 -0.597 -0.268 -0.301 PCT25 0.032 -0.543 -0.184 -0.127 PCT75 0.066 -0.465 -0.075 0.131 PCT95 0.091 -0.406 -0.008 0.352 Beta results, case 10 5 100 2 1 0.2 MEAN -0.005 -0.027 -0.006 0.002 STDEV 0.055 0.070 0.076 0.094 MEDIAN -0.006 -0.027 -0.007 0.000 RMSE 0.055 0.075 0.076 0.094 PCT05 -0.092 -0.143 -0.129 -0.154 PCT25 -0.042 -0.074 -0.062 -0.063 PCT75 0.031 0.022 0.045 0.064 PCT95 0.088 0.086 0.120 0.154 Time to run 1000 draws= 0.52 minutes Gamma results, case 11 5 100 8 1 0.2 MEAN 0.098 -0.056 -0.001 -0.001 STDEV 0.026 0.025 0.026 0.048 MEDIAN 0.099 -0.056 -0.001 0.000 RMSE 0.102 0.062 0.026 0.048 PCT05 0.055 -0.099 -0.043 -0.077 PCT25 0.080 -0.073 -0.018 -0.033 PCT75 0.116 -0.039 0.016 0.031 PCT95 0.140 -0.016 0.042 0.077 Beta results, case 11 5 100 8 1 0.8 MEAN -0.043 0.002 0.000 0.000 STDEV 0.024 0.022 0.022 0.027 MEDIAN -0.043 0.001 0.000 0.001 RMSE 0.049 0.022 0.022 0.027 PCT05 -0.081 -0.035 -0.036 -0.043 PCT25 -0.059 -0.013 -0.016 -0.019 PCT75 -0.027 0.018 0.015 0.019 PCT95 -0.005 0.038 0.037 0.044 Time to run 1000 draws= 0.53 minutes Gamma results, case 12 5 100 8 1 0.8 MEAN 0.021 -0.252 -0.030 0.001 STDEV 0.017 0.045 0.065 0.160 MEDIAN 0.021 -0.251 -0.035 -0.006 RMSE 0.027 0.256 0.071 0.160 PCT05 -0.007 -0.328 -0.131 -0.229 PCT25 0.009 -0.284 -0.075 -0.101 PCT75 0.032 -0.221 0.014 0.086 PCT95 0.047 -0.178 0.088 0.260 Beta results, case 12 5 100 8 1 0.2 MEAN -0.003 -0.014 -0.001 0.000 STDEV 0.011 0.014 0.015 0.020 MEDIAN -0.003 -0.014 -0.001 0.000 RMSE 0.011 0.020 0.015 0.020 PCT05 -0.020 -0.037 -0.025 -0.031 PCT25 -0.010 -0.024 -0.012 -0.015 PCT75 0.004 -0.004 0.009 0.013 PCT95 0.015 0.009 0.025 0.034 Time to run 1000 draws= 0.51 minutes Gamma results, case 13 5 100 2 5 0.2 MEAN 0.726 -0.147 0.002 0.000 STDEV 0.015 0.040 0.058 0.189 MEDIAN 0.727 -0.147 -0.004 -0.002 RMSE 0.726 0.152 0.058 0.188 PCT05 0.699 -0.211 -0.079 -0.289 PCT25 0.716 -0.173 -0.037 -0.116 PCT75 0.737 -0.120 0.032 0.104 PCT95 0.750 -0.083 0.101 0.284 Beta results, case 13 5 100 2 5 0.8 MEAN -0.319 0.006 0.003 0.000 STDEV 0.050 0.045 0.046 0.065 MEDIAN -0.320 0.005 0.002 -0.002 RMSE 0.323 0.045 0.046 0.065 PCT05 -0.400 -0.067 -0.070 -0.102 PCT25 -0.354 -0.025 -0.029 -0.046 PCT75 -0.288 0.037 0.034 0.042 PCT95 -0.236 0.079 0.079 0.113 Time to run 1000 draws= 0.52 minutes Gamma results, case 14 5 100 2 5 0.8 MEAN 0.179 -0.504 -0.192 -0.032 STDEV 0.009 0.058 0.130 3.838 MEDIAN 0.179 -0.505 -0.175 -0.025 RMSE 0.179 0.507 0.232 3.836 PCT05 0.163 -0.597 -0.456 -1.114 PCT25 0.173 -0.543 -0.271 -0.335 PCT75 0.185 -0.465 -0.095 0.292 PCT95 0.193 -0.406 -0.017 1.254 Beta results, case 14 5 100 2 5 0.2 MEAN -0.027 -0.027 -0.009 0.008 STDEV 0.054 0.070 0.082 0.319 MEDIAN -0.025 -0.027 -0.010 -0.009 RMSE 0.060 0.075 0.082 0.319 PCT05 -0.117 -0.143 -0.138 -0.180 PCT25 -0.064 -0.074 -0.065 -0.080 PCT75 0.010 0.022 0.044 0.069 PCT95 0.065 0.086 0.119 0.221 Time to run 1000 draws= 0.51 minutes Gamma results, case 15 5 100 8 5 0.2 MEAN 0.623 -0.056 0.000 -0.001 STDEV 0.025 0.025 0.027 0.079 MEDIAN 0.624 -0.056 0.000 -0.001 RMSE 0.623 0.062 0.027 0.079 PCT05 0.580 -0.099 -0.043 -0.127 PCT25 0.606 -0.073 -0.018 -0.054 PCT75 0.640 -0.039 0.018 0.052 PCT95 0.661 -0.016 0.045 0.132 Beta results, case 15 5 100 8 5 0.8 MEAN -0.274 0.002 0.000 0.000 STDEV 0.039 0.022 0.022 0.030 MEDIAN -0.275 0.001 0.000 0.001 RMSE 0.277 0.022 0.022 0.030 PCT05 -0.338 -0.035 -0.035 -0.047 PCT25 -0.300 -0.013 -0.015 -0.021 PCT75 -0.249 0.018 0.015 0.019 PCT95 -0.210 0.038 0.038 0.048 Time to run 1000 draws= 0.52 minutes Gamma results, case 16 5 100 8 5 0.8 MEAN 0.150 -0.252 -0.029 -0.330 STDEV 0.011 0.045 0.086 8.394 MEDIAN 0.150 -0.251 -0.035 -0.008 RMSE 0.150 0.256 0.091 8.396 PCT05 0.132 -0.328 -0.154 -0.533 PCT25 0.143 -0.284 -0.085 -0.184 PCT75 0.158 -0.221 0.025 0.163 PCT95 0.167 -0.178 0.123 0.551 Beta results, case 16 5 100 8 5 0.2 MEAN -0.024 -0.014 0.000 -0.027 STDEV 0.012 0.014 0.022 0.709 MEDIAN -0.024 -0.014 -0.001 -0.003 RMSE 0.027 0.020 0.022 0.709 PCT05 -0.044 -0.037 -0.028 -0.049 PCT25 -0.032 -0.024 -0.013 -0.019 PCT75 -0.016 -0.004 0.010 0.018 PCT95 -0.005 0.009 0.027 0.056 Time to run 1000 draws= 0.51 minutes Gamma results, case 17 10 20 2 1 0.2 MEAN 0.210 -0.060 0.000 0.005 STDEV 0.072 0.049 0.052 0.098 MEDIAN 0.213 -0.061 -0.001 0.000 RMSE 0.222 0.078 0.052 0.098 PCT05 0.087 -0.138 -0.081 -0.148 PCT25 0.161 -0.094 -0.036 -0.062 PCT75 0.260 -0.028 0.036 0.071 PCT95 0.327 0.024 0.088 0.173 Beta results, case 17 10 20 2 1 0.8 MEAN -0.091 0.016 0.001 0.000 STDEV 0.071 0.060 0.061 0.078 MEDIAN -0.095 0.015 -0.001 -0.003 RMSE 0.116 0.063 0.061 0.078 PCT05 -0.203 -0.082 -0.095 -0.124 PCT25 -0.137 -0.027 -0.042 -0.053 PCT75 -0.047 0.058 0.043 0.051 PCT95 0.031 0.118 0.104 0.128 Time to run 1000 draws= 0.22 minutes Gamma results, case 18 10 20 2 1 0.8 MEAN 0.038 -0.238 -0.049 0.013 STDEV 0.042 0.072 0.081 0.218 MEDIAN 0.043 -0.235 -0.043 0.012 RMSE 0.056 0.249 0.095 0.218 PCT05 -0.033 -0.358 -0.192 -0.308 PCT25 0.009 -0.289 -0.102 -0.132 PCT75 0.068 -0.191 0.009 0.138 PCT95 0.100 -0.125 0.072 0.354 Beta results, case 18 10 20 2 1 0.2 MEAN -0.005 0.003 0.003 -0.003 STDEV 0.085 0.101 0.102 0.137 MEDIAN -0.007 0.001 -0.004 -0.005 RMSE 0.086 0.101 0.102 0.137 PCT05 -0.143 -0.163 -0.160 -0.213 PCT25 -0.063 -0.064 -0.066 -0.090 PCT75 0.050 0.071 0.073 0.087 PCT95 0.140 0.174 0.177 0.221 Time to run 1000 draws= 0.22 minutes Gamma results, case 19 10 20 8 1 0.2 MEAN 0.092 -0.022 0.000 0.002 STDEV 0.044 0.030 0.030 0.062 MEDIAN 0.091 -0.022 0.000 0.001 RMSE 0.102 0.037 0.030 0.062 PCT05 0.020 -0.071 -0.050 -0.096 PCT25 0.062 -0.043 -0.021 -0.042 PCT75 0.121 -0.002 0.021 0.043 PCT95 0.168 0.027 0.048 0.104 Beta results, case 19 10 20 8 1 0.8 MEAN -0.040 0.006 0.000 0.000 STDEV 0.037 0.030 0.030 0.038 MEDIAN -0.040 0.005 -0.001 -0.001 RMSE 0.054 0.031 0.030 0.038 PCT05 -0.100 -0.041 -0.047 -0.059 PCT25 -0.065 -0.016 -0.021 -0.026 PCT75 -0.017 0.027 0.022 0.025 PCT95 0.024 0.057 0.052 0.063 Time to run 1000 draws= 0.22 minutes Gamma results, case 20 10 20 8 1 0.8 MEAN 0.015 -0.099 0.001 0.007 STDEV 0.027 0.045 0.054 0.165 MEDIAN 0.016 -0.097 -0.002 0.002 RMSE 0.031 0.108 0.054 0.165 PCT05 -0.030 -0.175 -0.086 -0.246 PCT25 -0.002 -0.127 -0.036 -0.100 PCT75 0.034 -0.070 0.037 0.108 PCT95 0.060 -0.027 0.094 0.270 Beta results, case 20 10 20 8 1 0.2 MEAN -0.002 0.000 0.001 0.000 STDEV 0.017 0.019 0.019 0.025 MEDIAN -0.003 0.001 0.001 -0.001 RMSE 0.017 0.019 0.019 0.025 PCT05 -0.029 -0.031 -0.029 -0.039 PCT25 -0.014 -0.012 -0.012 -0.016 PCT75 0.009 0.013 0.014 0.017 PCT95 0.027 0.033 0.033 0.042 Time to run 1000 draws= 0.22 minutes Gamma results, case 21 10 20 2 5 0.2 MEAN 0.717 -0.060 0.002 0.003 STDEV 0.033 0.049 0.053 0.221 MEDIAN 0.721 -0.061 0.001 -0.005 RMSE 0.718 0.078 0.053 0.221 PCT05 0.657 -0.138 -0.081 -0.244 PCT25 0.700 -0.094 -0.035 -0.097 PCT75 0.739 -0.028 0.038 0.098 PCT95 0.760 0.024 0.094 0.300 Beta results, case 21 10 20 2 5 0.8 MEAN -0.308 0.016 0.002 0.000 STDEV 0.077 0.060 0.060 0.089 MEDIAN -0.313 0.015 0.000 -0.004 RMSE 0.318 0.063 0.060 0.089 PCT05 -0.422 -0.082 -0.095 -0.131 PCT25 -0.364 -0.027 -0.041 -0.055 PCT75 -0.259 0.058 0.043 0.053 PCT95 -0.175 0.118 0.104 0.142 Time to run 1000 draws= 0.21 minutes Gamma results, case 22 10 20 2 5 0.8 MEAN 0.175 -0.238 -0.091 0.205 STDEV 0.014 0.072 0.099 6.434 MEDIAN 0.175 -0.235 -0.081 0.005 RMSE 0.175 0.249 0.134 6.434 PCT05 0.151 -0.358 -0.257 -0.994 PCT25 0.166 -0.289 -0.161 -0.270 PCT75 0.185 -0.191 -0.013 0.262 PCT95 0.196 -0.125 0.058 1.114 Beta results, case 22 10 20 2 5 0.2 MEAN -0.027 0.003 0.003 -0.009 STDEV 0.085 0.101 0.110 0.459 MEDIAN -0.029 0.001 -0.002 -0.013 RMSE 0.089 0.101 0.110 0.459 PCT05 -0.166 -0.163 -0.162 -0.251 PCT25 -0.085 -0.064 -0.064 -0.103 PCT75 0.031 0.071 0.074 0.086 PCT95 0.119 0.174 0.181 0.268 Time to run 1000 draws= 0.22 minutes Gamma results, case 23 10 20 8 5 0.2 MEAN 0.607 -0.022 0.000 0.002 STDEV 0.056 0.030 0.031 0.083 MEDIAN 0.615 -0.022 0.001 0.000 RMSE 0.610 0.037 0.031 0.083 PCT05 0.507 -0.071 -0.050 -0.129 PCT25 0.574 -0.043 -0.021 -0.051 PCT75 0.646 -0.002 0.022 0.051 PCT95 0.685 0.027 0.049 0.137 Beta results, case 23 10 20 8 5 0.8 MEAN -0.261 0.006 0.000 0.000 STDEV 0.063 0.030 0.030 0.039 MEDIAN -0.265 0.005 -0.001 -0.002 RMSE 0.269 0.031 0.030 0.039 PCT05 -0.362 -0.041 -0.047 -0.061 PCT25 -0.306 -0.016 -0.021 -0.026 PCT75 -0.222 0.027 0.022 0.026 PCT95 -0.156 0.057 0.051 0.066 Time to run 1000 draws= 0.22 minutes Gamma results, case 24 10 20 8 5 0.8 MEAN 0.145 -0.099 -0.006 -0.033 STDEV 0.020 0.045 0.057 3.227 MEDIAN 0.146 -0.097 -0.005 -0.012 RMSE 0.147 0.108 0.057 3.226 PCT05 0.110 -0.175 -0.105 -0.598 PCT25 0.134 -0.127 -0.041 -0.166 PCT75 0.159 -0.070 0.032 0.143 PCT95 0.176 -0.027 0.089 0.581 Beta results, case 24 10 20 8 5 0.2 MEAN -0.022 0.000 0.002 -0.004 STDEV 0.018 0.019 0.020 0.256 MEDIAN -0.024 0.001 0.001 -0.003 RMSE 0.029 0.019 0.020 0.256 PCT05 -0.051 -0.031 -0.030 -0.058 PCT25 -0.034 -0.012 -0.012 -0.022 PCT75 -0.011 0.013 0.015 0.020 PCT95 0.010 0.033 0.035 0.061 Time to run 1000 draws= 0.21 minutes Gamma results, case 25 10 100 2 1 0.2 MEAN 0.225 -0.059 0.000 0.000 STDEV 0.032 0.023 0.024 0.043 MEDIAN 0.225 -0.060 -0.002 0.000 RMSE 0.227 0.063 0.024 0.043 PCT05 0.170 -0.094 -0.038 -0.070 PCT25 0.204 -0.075 -0.017 -0.029 PCT75 0.247 -0.043 0.017 0.030 PCT95 0.277 -0.021 0.040 0.069 Beta results, case 25 10 100 2 1 0.8 MEAN -0.099 0.015 0.001 0.000 STDEV 0.031 0.026 0.027 0.033 MEDIAN -0.100 0.015 0.001 0.001 RMSE 0.104 0.031 0.027 0.033 PCT05 -0.153 -0.029 -0.042 -0.054 PCT25 -0.119 -0.003 -0.017 -0.023 PCT75 -0.078 0.032 0.018 0.022 PCT95 -0.047 0.061 0.046 0.055 Time to run 1000 draws= 0.65 minutes Gamma results, case 26 10 100 2 1 0.8 MEAN 0.049 -0.232 -0.032 0.000 STDEV 0.017 0.032 0.041 0.088 MEDIAN 0.050 -0.232 -0.032 -0.002 RMSE 0.052 0.234 0.052 0.088 PCT05 0.019 -0.285 -0.099 -0.148 PCT25 0.037 -0.252 -0.060 -0.060 PCT75 0.061 -0.209 -0.005 0.063 PCT95 0.076 -0.180 0.035 0.140 Beta results, case 26 10 100 2 1 0.2 MEAN -0.007 0.002 0.002 0.000 STDEV 0.037 0.045 0.045 0.057 MEDIAN -0.007 0.002 0.002 0.001 RMSE 0.037 0.045 0.045 0.057 PCT05 -0.068 -0.071 -0.072 -0.092 PCT25 -0.030 -0.029 -0.029 -0.040 PCT75 0.019 0.031 0.032 0.040 PCT95 0.052 0.079 0.077 0.094 Time to run 1000 draws= 0.65 minutes Gamma results, case 27 10 100 8 1 0.2 MEAN 0.099 -0.021 0.000 0.000 STDEV 0.020 0.014 0.014 0.027 MEDIAN 0.099 -0.021 0.000 0.001 RMSE 0.101 0.026 0.014 0.027 PCT05 0.065 -0.044 -0.024 -0.045 PCT25 0.085 -0.031 -0.010 -0.018 PCT75 0.113 -0.012 0.010 0.018 PCT95 0.133 0.002 0.024 0.043 Beta results, case 27 10 100 8 1 0.8 MEAN -0.043 0.006 0.000 0.000 STDEV 0.017 0.013 0.013 0.016 MEDIAN -0.044 0.006 0.000 0.000 RMSE 0.047 0.014 0.013 0.016 PCT05 -0.071 -0.016 -0.022 -0.026 PCT25 -0.054 -0.003 -0.009 -0.011 PCT75 -0.032 0.014 0.009 0.011 PCT95 -0.016 0.028 0.023 0.027 Time to run 1000 draws= 0.66 minutes Gamma results, case 28 10 100 8 1 0.8 MEAN 0.021 -0.095 -0.003 0.000 STDEV 0.012 0.020 0.025 0.069 MEDIAN 0.021 -0.094 -0.005 -0.002 RMSE 0.024 0.097 0.025 0.069 PCT05 0.000 -0.128 -0.042 -0.112 PCT25 0.013 -0.108 -0.021 -0.048 PCT75 0.029 -0.080 0.012 0.047 PCT95 0.040 -0.063 0.040 0.115 Beta results, case 28 10 100 8 1 0.2 MEAN -0.003 0.000 0.000 0.000 STDEV 0.007 0.008 0.008 0.011 MEDIAN -0.004 0.000 0.000 0.000 RMSE 0.008 0.008 0.008 0.011 PCT05 -0.015 -0.013 -0.013 -0.018 PCT25 -0.008 -0.005 -0.005 -0.007 PCT75 0.002 0.006 0.006 0.007 PCT95 0.009 0.014 0.014 0.017 Time to run 1000 draws= 0.65 minutes Gamma results, case 29 10 100 2 5 0.2 MEAN 0.725 -0.059 0.000 -0.001 STDEV 0.012 0.023 0.025 0.069 MEDIAN 0.726 -0.060 -0.002 -0.001 RMSE 0.726 0.063 0.024 0.069 PCT05 0.705 -0.094 -0.039 -0.113 PCT25 0.717 -0.075 -0.017 -0.046 PCT75 0.734 -0.043 0.017 0.045 PCT95 0.744 -0.021 0.040 0.115 Beta results, case 29 10 100 2 5 0.8 MEAN -0.321 0.015 0.001 0.000 STDEV 0.032 0.026 0.027 0.035 MEDIAN -0.322 0.015 0.001 -0.001 RMSE 0.323 0.031 0.027 0.035 PCT05 -0.374 -0.029 -0.042 -0.060 PCT25 -0.343 -0.003 -0.017 -0.024 PCT75 -0.301 0.032 0.018 0.024 PCT95 -0.266 0.061 0.046 0.059 Time to run 1000 draws= 0.65 minutes Gamma results, case 30 10 100 2 5 0.8 MEAN 0.179 -0.232 -0.040 -0.001 STDEV 0.006 0.032 0.046 0.192 MEDIAN 0.179 -0.232 -0.038 0.000 RMSE 0.179 0.234 0.061 0.192 PCT05 0.169 -0.285 -0.120 -0.316 PCT25 0.175 -0.252 -0.069 -0.123 PCT75 0.182 -0.209 -0.007 0.117 PCT95 0.187 -0.180 0.029 0.315 Beta results, case 30 10 100 2 5 0.2 MEAN -0.029 0.002 0.003 0.000 STDEV 0.036 0.045 0.046 0.059 MEDIAN -0.030 0.002 0.004 0.000 RMSE 0.046 0.045 0.046 0.059 PCT05 -0.088 -0.071 -0.073 -0.093 PCT25 -0.051 -0.029 -0.028 -0.040 PCT75 -0.004 0.031 0.033 0.041 PCT95 0.030 0.079 0.082 0.100 Time to run 1000 draws= 0.69 minutes Gamma results, case 31 10 100 8 5 0.2 MEAN 0.622 -0.021 0.000 0.000 STDEV 0.023 0.014 0.014 0.035 MEDIAN 0.622 -0.021 -0.001 -0.002 RMSE 0.622 0.026 0.014 0.035 PCT05 0.584 -0.044 -0.024 -0.056 PCT25 0.607 -0.031 -0.010 -0.024 PCT75 0.637 -0.012 0.010 0.023 PCT95 0.657 0.002 0.024 0.058 Beta results, case 31 10 100 8 5 0.8 MEAN -0.275 0.006 0.000 0.000 STDEV 0.028 0.013 0.013 0.017 MEDIAN -0.276 0.006 0.000 0.000 RMSE 0.277 0.014 0.013 0.017 PCT05 -0.319 -0.016 -0.022 -0.029 PCT25 -0.294 -0.003 -0.009 -0.011 PCT75 -0.257 0.014 0.009 0.011 PCT95 -0.228 0.028 0.023 0.028 Time to run 1000 draws= 0.66 minutes Gamma results, case 32 10 100 8 5 0.8 MEAN 0.150 -0.095 0.000 -0.002 STDEV 0.008 0.020 0.029 0.111 MEDIAN 0.150 -0.094 -0.004 -0.001 RMSE 0.150 0.097 0.028 0.111 PCT05 0.136 -0.128 -0.041 -0.182 PCT25 0.145 -0.108 -0.020 -0.072 PCT75 0.155 -0.080 0.015 0.063 PCT95 0.162 -0.063 0.054 0.181 Beta results, case 32 10 100 8 5 0.2 MEAN -0.025 0.000 0.001 0.000 STDEV 0.008 0.008 0.009 0.013 MEDIAN -0.025 0.000 0.001 0.000 RMSE 0.026 0.008 0.009 0.013 PCT05 -0.038 -0.013 -0.013 -0.021 PCT25 -0.030 -0.005 -0.005 -0.009 PCT75 -0.019 0.006 0.007 0.008 PCT95 -0.012 0.014 0.016 0.021 Time to run 1000 draws= 0.65 minutes Gamma results, case 33 20 20 2 1 0.2 MEAN 0.213 -0.028 -0.001 0.001 STDEV 0.061 0.033 0.034 0.063 MEDIAN 0.216 -0.027 0.001 0.001 RMSE 0.222 0.043 0.034 0.063 PCT05 0.111 -0.083 -0.058 -0.101 PCT25 0.171 -0.051 -0.025 -0.040 PCT75 0.256 -0.005 0.023 0.039 PCT95 0.309 0.025 0.055 0.108 Beta results, case 33 20 20 2 1 0.8 MEAN -0.094 0.010 0.001 0.000 STDEV 0.051 0.038 0.038 0.051 MEDIAN -0.093 0.012 0.002 0.000 RMSE 0.107 0.040 0.038 0.051 PCT05 -0.180 -0.053 -0.064 -0.086 PCT25 -0.128 -0.016 -0.025 -0.035 PCT75 -0.061 0.035 0.025 0.033 PCT95 -0.012 0.075 0.064 0.083 Time to run 1000 draws= 0.31 minutes Gamma results, case 34 20 20 2 1 0.8 MEAN 0.041 -0.108 -0.007 0.003 STDEV 0.030 0.040 0.046 0.118 MEDIAN 0.044 -0.105 -0.003 0.003 RMSE 0.051 0.115 0.047 0.118 PCT05 -0.012 -0.175 -0.084 -0.198 PCT25 0.022 -0.135 -0.039 -0.071 PCT75 0.062 -0.079 0.024 0.080 PCT95 0.087 -0.046 0.068 0.194 Beta results, case 34 20 20 2 1 0.2 MEAN -0.006 0.008 0.003 -0.001 STDEV 0.057 0.063 0.062 0.089 MEDIAN -0.008 0.007 0.002 -0.002 RMSE 0.057 0.064 0.062 0.089 PCT05 -0.093 -0.092 -0.092 -0.150 PCT25 -0.046 -0.036 -0.040 -0.060 PCT75 0.033 0.049 0.045 0.057 PCT95 0.089 0.114 0.105 0.136 Time to run 1000 draws= 0.31 minutes Gamma results, case 35 20 20 8 1 0.2 MEAN 0.093 -0.011 -0.001 0.000 STDEV 0.036 0.019 0.020 0.039 MEDIAN 0.092 -0.010 0.000 0.000 RMSE 0.099 0.022 0.020 0.039 PCT05 0.035 -0.043 -0.034 -0.064 PCT25 0.067 -0.024 -0.014 -0.024 PCT75 0.117 0.003 0.013 0.025 PCT95 0.154 0.020 0.030 0.064 Beta results, case 35 20 20 8 1 0.8 MEAN -0.041 0.004 0.000 0.000 STDEV 0.027 0.019 0.019 0.025 MEDIAN -0.040 0.004 0.001 0.000 RMSE 0.049 0.020 0.019 0.025 PCT05 -0.087 -0.028 -0.032 -0.041 PCT25 -0.059 -0.009 -0.013 -0.016 PCT75 -0.022 0.016 0.013 0.016 PCT95 0.001 0.036 0.032 0.040 Time to run 1000 draws= 0.31 minutes Gamma results, case 36 20 20 8 1 0.8 MEAN 0.017 -0.041 0.001 0.002 STDEV 0.020 0.024 0.027 0.086 MEDIAN 0.018 -0.041 0.002 -0.001 RMSE 0.026 0.048 0.027 0.086 PCT05 -0.016 -0.081 -0.042 -0.138 PCT25 0.004 -0.057 -0.018 -0.053 PCT75 0.030 -0.024 0.019 0.058 PCT95 0.048 -0.005 0.045 0.146 Beta results, case 36 20 20 8 1 0.2 MEAN -0.003 0.003 0.001 0.000 STDEV 0.011 0.012 0.012 0.016 MEDIAN -0.003 0.002 0.001 0.000 RMSE 0.012 0.012 0.012 0.016 PCT05 -0.021 -0.016 -0.017 -0.026 PCT25 -0.011 -0.005 -0.007 -0.010 PCT75 0.005 0.010 0.008 0.011 PCT95 0.016 0.022 0.021 0.026 Time to run 1000 draws= 0.30 minutes Gamma results, case 37 20 20 2 5 0.2 MEAN 0.718 -0.028 0.000 -0.002 STDEV 0.029 0.033 0.034 0.084 MEDIAN 0.722 -0.027 0.000 -0.004 RMSE 0.718 0.043 0.034 0.084 PCT05 0.663 -0.083 -0.058 -0.140 PCT25 0.702 -0.051 -0.025 -0.056 PCT75 0.738 -0.005 0.023 0.053 PCT95 0.755 0.025 0.055 0.134 Beta results, case 37 20 20 2 5 0.8 MEAN -0.315 0.010 0.001 -0.001 STDEV 0.053 0.038 0.038 0.052 MEDIAN -0.317 0.012 0.002 0.000 RMSE 0.319 0.040 0.038 0.052 PCT05 -0.399 -0.053 -0.064 -0.088 PCT25 -0.349 -0.016 -0.026 -0.036 PCT75 -0.282 0.035 0.025 0.035 PCT95 -0.226 0.075 0.064 0.084 Time to run 1000 draws= 0.30 minutes Gamma results, case 38 20 20 2 5 0.8 MEAN 0.176 -0.108 -0.014 -0.003 STDEV 0.010 0.040 0.048 0.242 MEDIAN 0.177 -0.105 -0.008 -0.001 RMSE 0.176 0.115 0.050 0.242 PCT05 0.158 -0.175 -0.097 -0.361 PCT25 0.170 -0.135 -0.047 -0.123 PCT75 0.182 -0.079 0.019 0.121 PCT95 0.189 -0.046 0.057 0.316 Beta results, case 38 20 20 2 5 0.2 MEAN -0.028 0.008 0.005 -0.001 STDEV 0.056 0.063 0.063 0.093 MEDIAN -0.030 0.007 0.003 -0.005 RMSE 0.063 0.064 0.063 0.093 PCT05 -0.119 -0.092 -0.090 -0.148 PCT25 -0.067 -0.036 -0.039 -0.064 PCT75 0.010 0.049 0.048 0.059 PCT95 0.063 0.114 0.109 0.139 Time to run 1000 draws= 0.30 minutes Gamma results, case 39 20 20 8 5 0.2 MEAN 0.608 -0.011 0.000 -0.001 STDEV 0.053 0.019 0.020 0.045 MEDIAN 0.616 -0.010 0.000 -0.001 RMSE 0.610 0.022 0.020 0.045 PCT05 0.510 -0.043 -0.034 -0.077 PCT25 0.579 -0.024 -0.014 -0.030 PCT75 0.645 0.003 0.013 0.028 PCT95 0.680 0.020 0.030 0.074 Beta results, case 39 20 20 8 5 0.8 MEAN -0.266 0.004 0.000 0.000 STDEV 0.047 0.019 0.019 0.025 MEDIAN -0.268 0.004 0.001 0.000 RMSE 0.271 0.020 0.019 0.025 PCT05 -0.342 -0.028 -0.032 -0.042 PCT25 -0.296 -0.009 -0.013 -0.017 PCT75 -0.239 0.016 0.013 0.016 PCT95 -0.186 0.036 0.032 0.040 Time to run 1000 draws= 0.30 minutes Gamma results, case 40 20 20 8 5 0.8 MEAN 0.146 -0.041 0.002 -0.002 STDEV 0.016 0.024 0.027 0.131 MEDIAN 0.148 -0.041 0.003 -0.003 RMSE 0.147 0.048 0.027 0.131 PCT05 0.116 -0.081 -0.042 -0.213 PCT25 0.137 -0.057 -0.017 -0.078 PCT75 0.157 -0.024 0.020 0.073 PCT95 0.170 -0.005 0.046 0.195 Beta results, case 40 20 20 8 5 0.2 MEAN -0.023 0.003 0.001 0.000 STDEV 0.013 0.012 0.012 0.018 MEDIAN -0.023 0.002 0.001 -0.001 RMSE 0.026 0.012 0.012 0.018 PCT05 -0.044 -0.016 -0.017 -0.029 PCT25 -0.031 -0.005 -0.007 -0.013 PCT75 -0.015 0.010 0.009 0.012 PCT95 -0.002 0.022 0.021 0.028 Time to run 1000 draws= 0.31 minutes Gamma results, case 41 20 100 2 1 0.2 MEAN 0.225 -0.027 0.000 0.001 STDEV 0.028 0.015 0.015 0.027 MEDIAN 0.225 -0.027 0.000 0.000 RMSE 0.227 0.031 0.015 0.027 PCT05 0.178 -0.052 -0.027 -0.042 PCT25 0.207 -0.037 -0.010 -0.017 PCT75 0.244 -0.016 0.011 0.019 PCT95 0.270 -0.003 0.024 0.045 Beta results, case 41 20 100 2 1 0.8 MEAN -0.100 0.009 0.000 -0.001 STDEV 0.023 0.017 0.017 0.022 MEDIAN -0.099 0.008 -0.001 -0.001 RMSE 0.103 0.019 0.017 0.022 PCT05 -0.139 -0.019 -0.028 -0.039 PCT25 -0.117 -0.002 -0.012 -0.015 PCT75 -0.084 0.020 0.011 0.014 PCT95 -0.064 0.037 0.027 0.035 Time to run 1000 draws= 0.92 minutes Gamma results, case 42 20 100 2 1 0.8 MEAN 0.049 -0.104 -0.005 0.001 STDEV 0.013 0.019 0.023 0.050 MEDIAN 0.050 -0.104 -0.004 0.001 RMSE 0.051 0.106 0.023 0.050 PCT05 0.028 -0.135 -0.041 -0.082 PCT25 0.041 -0.116 -0.020 -0.032 PCT75 0.058 -0.092 0.009 0.035 PCT95 0.068 -0.074 0.031 0.078 Beta results, case 42 20 100 2 1 0.2 MEAN -0.008 0.006 0.000 -0.002 STDEV 0.026 0.028 0.028 0.039 MEDIAN -0.008 0.005 0.000 -0.002 RMSE 0.027 0.029 0.028 0.039 PCT05 -0.052 -0.038 -0.043 -0.069 PCT25 -0.026 -0.014 -0.019 -0.026 PCT75 0.008 0.024 0.018 0.024 PCT95 0.035 0.053 0.046 0.062 Time to run 1000 draws= 0.95 minutes Gamma results, case 43 20 100 8 1 0.2 MEAN 0.099 -0.010 0.000 0.000 STDEV 0.016 0.009 0.009 0.017 MEDIAN 0.099 -0.010 0.000 0.000 RMSE 0.100 0.013 0.009 0.017 PCT05 0.071 -0.025 -0.015 -0.028 PCT25 0.087 -0.016 -0.006 -0.012 PCT75 0.109 -0.003 0.007 0.012 PCT95 0.127 0.005 0.015 0.028 Beta results, case 43 20 100 8 1 0.8 MEAN -0.044 0.003 0.000 0.000 STDEV 0.012 0.009 0.009 0.011 MEDIAN -0.043 0.003 0.000 0.000 RMSE 0.046 0.009 0.009 0.011 PCT05 -0.064 -0.011 -0.014 -0.018 PCT25 -0.052 -0.002 -0.006 -0.007 PCT75 -0.035 0.009 0.006 0.006 PCT95 -0.025 0.017 0.013 0.017 Time to run 1000 draws= 0.93 minutes Gamma results, case 44 20 100 8 1 0.8 MEAN 0.021 -0.039 0.000 0.001 STDEV 0.009 0.011 0.012 0.038 MEDIAN 0.021 -0.039 -0.001 0.000 RMSE 0.023 0.040 0.012 0.038 PCT05 0.007 -0.057 -0.019 -0.062 PCT25 0.015 -0.047 -0.009 -0.024 PCT75 0.027 -0.031 0.008 0.026 PCT95 0.035 -0.021 0.020 0.062 Beta results, case 44 20 100 8 1 0.2 MEAN -0.004 0.002 0.000 0.000 STDEV 0.005 0.005 0.005 0.007 MEDIAN -0.003 0.002 0.000 0.000 RMSE 0.006 0.006 0.005 0.007 PCT05 -0.012 -0.006 -0.008 -0.012 PCT25 -0.007 -0.001 -0.003 -0.005 PCT75 0.000 0.006 0.003 0.004 PCT95 0.005 0.011 0.009 0.011 Time to run 1000 draws= 0.92 minutes Gamma results, case 45 20 100 2 5 0.2 MEAN 0.725 -0.027 0.000 0.000 STDEV 0.011 0.015 0.015 0.035 MEDIAN 0.726 -0.027 0.000 0.000 RMSE 0.726 0.031 0.015 0.035 PCT05 0.707 -0.052 -0.027 -0.056 PCT25 0.718 -0.037 -0.010 -0.024 PCT75 0.733 -0.016 0.011 0.024 PCT95 0.742 -0.003 0.024 0.059 Beta results, case 45 20 100 2 5 0.8 MEAN -0.322 0.009 0.000 -0.001 STDEV 0.023 0.017 0.017 0.023 MEDIAN -0.322 0.008 -0.001 -0.001 RMSE 0.323 0.019 0.017 0.023 PCT05 -0.358 -0.019 -0.028 -0.039 PCT25 -0.338 -0.002 -0.012 -0.015 PCT75 -0.307 0.020 0.011 0.015 PCT95 -0.283 0.037 0.027 0.036 Time to run 1000 draws= 0.93 minutes Gamma results, case 46 20 100 2 5 0.8 MEAN 0.178 -0.104 -0.004 0.001 STDEV 0.004 0.019 0.024 0.083 MEDIAN 0.178 -0.104 -0.003 0.001 RMSE 0.178 0.106 0.024 0.083 PCT05 0.171 -0.135 -0.043 -0.140 PCT25 0.176 -0.116 -0.020 -0.054 PCT75 0.181 -0.092 0.013 0.056 PCT95 0.184 -0.074 0.036 0.135 Beta results, case 46 20 100 2 5 0.2 MEAN -0.030 0.006 0.001 -0.002 STDEV 0.025 0.028 0.028 0.039 MEDIAN -0.030 0.005 0.000 -0.002 RMSE 0.039 0.029 0.028 0.039 PCT05 -0.071 -0.038 -0.042 -0.070 PCT25 -0.046 -0.014 -0.018 -0.027 PCT75 -0.014 0.024 0.018 0.025 PCT95 0.010 0.053 0.047 0.064 Time to run 1000 draws= 0.94 minutes Gamma results, case 47 20 100 8 5 0.2 MEAN 0.621 -0.010 0.000 0.000 STDEV 0.021 0.009 0.009 0.019 MEDIAN 0.622 -0.010 0.000 0.000 RMSE 0.622 0.013 0.009 0.019 PCT05 0.585 -0.025 -0.015 -0.032 PCT25 0.608 -0.016 -0.006 -0.012 PCT75 0.637 -0.003 0.007 0.014 PCT95 0.654 0.005 0.015 0.030 Beta results, case 47 20 100 8 5 0.8 MEAN -0.276 0.003 0.000 0.000 STDEV 0.020 0.009 0.009 0.011 MEDIAN -0.276 0.003 0.000 0.000 RMSE 0.276 0.009 0.009 0.011 PCT05 -0.310 -0.011 -0.014 -0.018 PCT25 -0.289 -0.002 -0.006 -0.008 PCT75 -0.262 0.009 0.006 0.007 PCT95 -0.242 0.017 0.013 0.017 Time to run 1000 draws= 0.94 minutes Gamma results, case 48 20 100 8 5 0.8 MEAN 0.149 -0.039 0.000 0.001 STDEV 0.007 0.011 0.012 0.050 MEDIAN 0.150 -0.039 0.000 0.001 RMSE 0.150 0.040 0.012 0.050 PCT05 0.138 -0.057 -0.019 -0.082 PCT25 0.145 -0.047 -0.009 -0.031 PCT75 0.154 -0.031 0.009 0.033 PCT95 0.160 -0.021 0.020 0.080 Beta results, case 48 20 100 8 5 0.2 MEAN -0.025 0.002 0.000 0.000 STDEV 0.006 0.005 0.005 0.007 MEDIAN -0.025 0.002 0.000 0.000 RMSE 0.025 0.006 0.005 0.007 PCT05 -0.034 -0.006 -0.008 -0.012 PCT25 -0.028 -0.001 -0.003 -0.005 PCT75 -0.021 0.006 0.003 0.004 PCT95 -0.016 0.011 0.009 0.011 Time to run 1000 draws= 0.94 minutes Gamma results, case 49 30 20 2 1 0.2 MEAN 0.214 -0.018 0.000 -0.001 STDEV 0.057 0.026 0.027 0.049 MEDIAN 0.216 -0.018 0.000 -0.002 RMSE 0.222 0.032 0.027 0.049 PCT05 0.119 -0.063 -0.046 -0.082 PCT25 0.174 -0.035 -0.018 -0.031 PCT75 0.256 -0.001 0.018 0.031 PCT95 0.308 0.025 0.044 0.080 Beta results, case 49 30 20 2 1 0.8 MEAN -0.095 0.007 0.000 -0.001 STDEV 0.043 0.030 0.030 0.040 MEDIAN -0.094 0.007 0.000 0.000 RMSE 0.105 0.031 0.030 0.040 PCT05 -0.168 -0.040 -0.048 -0.066 PCT25 -0.124 -0.013 -0.020 -0.028 PCT75 -0.067 0.026 0.019 0.027 PCT95 -0.022 0.058 0.052 0.063 Time to run 1000 draws= 0.45 minutes Gamma results, case 50 30 20 2 1 0.8 MEAN 0.043 -0.068 -0.001 0.003 STDEV 0.025 0.030 0.034 0.088 MEDIAN 0.045 -0.066 0.001 0.002 RMSE 0.050 0.074 0.034 0.088 PCT05 -0.002 -0.122 -0.059 -0.140 PCT25 0.027 -0.087 -0.022 -0.052 PCT75 0.061 -0.048 0.023 0.060 PCT95 0.080 -0.020 0.054 0.143 Beta results, case 50 30 20 2 1 0.2 MEAN -0.007 0.006 0.001 -0.002 STDEV 0.045 0.048 0.047 0.070 MEDIAN -0.006 0.008 0.002 -0.001 RMSE 0.045 0.048 0.047 0.070 PCT05 -0.083 -0.074 -0.077 -0.116 PCT25 -0.036 -0.027 -0.031 -0.045 PCT75 0.024 0.038 0.032 0.045 PCT95 0.068 0.089 0.081 0.111 Time to run 1000 draws= 0.44 minutes Gamma results, case 51 30 20 8 1 0.2 MEAN 0.094 -0.007 0.000 -0.001 STDEV 0.033 0.016 0.016 0.030 MEDIAN 0.093 -0.007 0.000 -0.001 RMSE 0.099 0.017 0.016 0.030 PCT05 0.039 -0.033 -0.027 -0.052 PCT25 0.071 -0.017 -0.011 -0.020 PCT75 0.117 0.004 0.010 0.019 PCT95 0.151 0.019 0.026 0.049 Beta results, case 51 30 20 8 1 0.8 MEAN -0.042 0.003 0.000 -0.001 STDEV 0.022 0.015 0.015 0.019 MEDIAN -0.041 0.002 0.000 0.000 RMSE 0.047 0.015 0.015 0.019 PCT05 -0.080 -0.022 -0.025 -0.032 PCT25 -0.057 -0.008 -0.010 -0.013 PCT75 -0.027 0.013 0.010 0.012 PCT95 -0.004 0.028 0.026 0.030 Time to run 1000 draws= 0.45 minutes Gamma results, case 52 30 20 8 1 0.8 MEAN 0.018 -0.025 0.001 0.001 STDEV 0.016 0.018 0.019 0.063 MEDIAN 0.019 -0.025 0.001 0.000 RMSE 0.024 0.031 0.019 0.063 PCT05 -0.008 -0.057 -0.031 -0.099 PCT25 0.008 -0.036 -0.012 -0.043 PCT75 0.029 -0.013 0.013 0.045 PCT95 0.043 0.004 0.032 0.105 Beta results, case 52 30 20 8 1 0.2 MEAN -0.003 0.002 0.000 0.000 STDEV 0.009 0.009 0.009 0.012 MEDIAN -0.003 0.002 0.000 0.000 RMSE 0.009 0.009 0.009 0.012 PCT05 -0.018 -0.012 -0.015 -0.020 PCT25 -0.009 -0.004 -0.006 -0.008 PCT75 0.003 0.008 0.006 0.008 PCT95 0.011 0.018 0.015 0.019 Time to run 1000 draws= 0.44 minutes Gamma results, case 53 30 20 2 5 0.2 MEAN 0.717 -0.018 0.000 -0.001 STDEV 0.028 0.026 0.027 0.059 MEDIAN 0.722 -0.018 0.000 -0.002 RMSE 0.718 0.032 0.027 0.059 PCT05 0.664 -0.063 -0.046 -0.099 PCT25 0.702 -0.035 -0.018 -0.036 PCT75 0.737 -0.001 0.018 0.037 PCT95 0.753 0.025 0.044 0.095 Beta results, case 53 30 20 2 5 0.8 MEAN -0.316 0.007 0.000 -0.001 STDEV 0.043 0.030 0.030 0.040 MEDIAN -0.316 0.007 0.000 -0.001 RMSE 0.319 0.031 0.030 0.040 PCT05 -0.386 -0.040 -0.048 -0.067 PCT25 -0.345 -0.013 -0.020 -0.028 PCT75 -0.289 0.026 0.019 0.026 PCT95 -0.242 0.058 0.052 0.062 Time to run 1000 draws= 0.44 minutes Gamma results, case 54 30 20 2 5 0.8 MEAN 0.176 -0.068 -0.002 0.003 STDEV 0.009 0.030 0.034 0.133 MEDIAN 0.177 -0.066 -0.001 0.000 RMSE 0.176 0.074 0.034 0.133 PCT05 0.160 -0.122 -0.063 -0.222 PCT25 0.171 -0.087 -0.025 -0.077 PCT75 0.182 -0.048 0.020 0.085 PCT95 0.187 -0.020 0.052 0.213 Beta results, case 54 30 20 2 5 0.2 MEAN -0.028 0.006 0.002 -0.002 STDEV 0.045 0.048 0.047 0.070 MEDIAN -0.027 0.008 0.003 -0.002 RMSE 0.053 0.048 0.047 0.070 PCT05 -0.103 -0.074 -0.076 -0.117 PCT25 -0.057 -0.027 -0.030 -0.045 PCT75 0.001 0.038 0.033 0.046 PCT95 0.043 0.089 0.082 0.108 Time to run 1000 draws= 0.45 minutes Gamma results, case 55 30 20 8 5 0.2 MEAN 0.608 -0.007 0.000 -0.001 STDEV 0.051 0.016 0.016 0.033 MEDIAN 0.616 -0.007 0.000 -0.002 RMSE 0.610 0.017 0.016 0.033 PCT05 0.515 -0.033 -0.027 -0.058 PCT25 0.577 -0.017 -0.011 -0.022 PCT75 0.644 0.004 0.010 0.021 PCT95 0.677 0.019 0.026 0.054 Beta results, case 55 30 20 8 5 0.8 MEAN -0.268 0.003 0.000 -0.001 STDEV 0.040 0.015 0.015 0.019 MEDIAN -0.268 0.002 0.000 -0.001 RMSE 0.271 0.015 0.015 0.019 PCT05 -0.333 -0.022 -0.025 -0.031 PCT25 -0.295 -0.008 -0.010 -0.013 PCT75 -0.243 0.013 0.010 0.012 PCT95 -0.198 0.028 0.026 0.030 Time to run 1000 draws= 0.44 minutes Gamma results, case 56 30 20 8 5 0.8 MEAN 0.146 -0.025 0.001 0.001 STDEV 0.015 0.018 0.019 0.082 MEDIAN 0.147 -0.025 0.001 0.001 RMSE 0.147 0.031 0.019 0.081 PCT05 0.117 -0.057 -0.031 -0.126 PCT25 0.138 -0.036 -0.011 -0.051 PCT75 0.157 -0.013 0.014 0.052 PCT95 0.168 0.004 0.033 0.135 Beta results, case 56 30 20 8 5 0.2 MEAN -0.023 0.002 0.000 0.000 STDEV 0.010 0.009 0.009 0.013 MEDIAN -0.023 0.002 0.000 0.000 RMSE 0.026 0.009 0.009 0.013 PCT05 -0.040 -0.012 -0.014 -0.020 PCT25 -0.030 -0.004 -0.006 -0.009 PCT75 -0.016 0.008 0.006 0.008 PCT95 -0.007 0.018 0.015 0.020 Time to run 1000 draws= 0.44 minutes Gamma results, case 57 30 100 2 1 0.2 MEAN 0.226 -0.017 0.000 0.000 STDEV 0.026 0.012 0.012 0.021 MEDIAN 0.227 -0.017 0.000 0.000 RMSE 0.227 0.021 0.012 0.021 PCT05 0.182 -0.037 -0.020 -0.034 PCT25 0.208 -0.026 -0.008 -0.015 PCT75 0.244 -0.009 0.009 0.015 PCT95 0.266 0.002 0.020 0.033 Beta results, case 57 30 100 2 1 0.8 MEAN -0.100 0.006 0.000 -0.001 STDEV 0.019 0.014 0.014 0.018 MEDIAN -0.100 0.007 0.000 0.000 RMSE 0.102 0.015 0.014 0.018 PCT05 -0.131 -0.016 -0.022 -0.032 PCT25 -0.114 -0.003 -0.010 -0.014 PCT75 -0.088 0.016 0.009 0.011 PCT95 -0.069 0.028 0.021 0.029 Time to run 1000 draws= 1.28 minutes Gamma results, case 58 30 100 2 1 0.8 MEAN 0.049 -0.065 -0.001 0.000 STDEV 0.011 0.014 0.015 0.037 MEDIAN 0.050 -0.065 -0.001 0.001 RMSE 0.050 0.067 0.015 0.037 PCT05 0.031 -0.089 -0.027 -0.063 PCT25 0.042 -0.075 -0.012 -0.026 PCT75 0.057 -0.056 0.010 0.024 PCT95 0.065 -0.044 0.024 0.057 Beta results, case 58 30 100 2 1 0.2 MEAN -0.008 0.006 0.000 -0.001 STDEV 0.020 0.022 0.022 0.032 MEDIAN -0.009 0.005 0.000 0.000 RMSE 0.022 0.023 0.022 0.032 PCT05 -0.043 -0.032 -0.037 -0.054 PCT25 -0.022 -0.009 -0.015 -0.023 PCT75 0.005 0.022 0.016 0.020 PCT95 0.026 0.043 0.036 0.051 Time to run 1000 draws= 1.30 minutes Gamma results, case 59 30 100 8 1 0.2 MEAN 0.099 -0.006 0.000 0.000 STDEV 0.015 0.007 0.007 0.013 MEDIAN 0.099 -0.006 0.000 0.000 RMSE 0.100 0.009 0.007 0.013 PCT05 0.074 -0.018 -0.012 -0.022 PCT25 0.088 -0.011 -0.005 -0.009 PCT75 0.109 -0.001 0.005 0.009 PCT95 0.124 0.006 0.012 0.022 Beta results, case 59 30 100 8 1 0.8 MEAN -0.044 0.002 0.000 0.000 STDEV 0.010 0.007 0.007 0.009 MEDIAN -0.044 0.003 0.000 0.000 RMSE 0.045 0.007 0.007 0.009 PCT05 -0.061 -0.009 -0.011 -0.015 PCT25 -0.051 -0.003 -0.005 -0.006 PCT75 -0.037 0.007 0.005 0.006 PCT95 -0.028 0.013 0.011 0.014 Time to run 1000 draws= 1.29 minutes Gamma results, case 60 30 100 8 1 0.8 MEAN 0.021 -0.024 0.000 0.000 STDEV 0.007 0.008 0.008 0.028 MEDIAN 0.021 -0.024 0.000 0.001 RMSE 0.022 0.025 0.008 0.028 PCT05 0.009 -0.036 -0.013 -0.046 PCT25 0.016 -0.029 -0.006 -0.018 PCT75 0.026 -0.019 0.006 0.020 PCT95 0.033 -0.011 0.013 0.043 Beta results, case 60 30 100 8 1 0.2 MEAN -0.004 0.002 0.000 0.000 STDEV 0.004 0.004 0.004 0.006 MEDIAN -0.004 0.002 0.000 0.000 RMSE 0.005 0.005 0.004 0.006 PCT05 -0.010 -0.005 -0.007 -0.010 PCT25 -0.006 -0.001 -0.003 -0.004 PCT75 -0.001 0.005 0.003 0.004 PCT95 0.003 0.009 0.007 0.009 Time to run 1000 draws= 1.27 minutes Gamma results, case 61 30 100 2 5 0.2 MEAN 0.725 -0.017 0.000 -0.001 STDEV 0.010 0.012 0.012 0.026 MEDIAN 0.726 -0.017 0.000 0.000 RMSE 0.725 0.021 0.012 0.026 PCT05 0.706 -0.037 -0.020 -0.041 PCT25 0.719 -0.026 -0.008 -0.019 PCT75 0.733 -0.009 0.009 0.017 PCT95 0.741 0.002 0.020 0.040 Beta results, case 61 30 100 2 5 0.8 MEAN -0.322 0.006 0.000 -0.001 STDEV 0.019 0.014 0.014 0.019 MEDIAN -0.322 0.007 0.000 0.000 RMSE 0.322 0.015 0.014 0.019 PCT05 -0.352 -0.016 -0.022 -0.033 PCT25 -0.334 -0.003 -0.010 -0.013 PCT75 -0.310 0.016 0.009 0.012 PCT95 -0.290 0.028 0.022 0.029 Time to run 1000 draws= 1.32 minutes Gamma results, case 62 30 100 2 5 0.8 MEAN 0.178 -0.065 -0.001 -0.002 STDEV 0.003 0.014 0.016 0.057 MEDIAN 0.179 -0.065 -0.001 -0.001 RMSE 0.178 0.067 0.016 0.057 PCT05 0.172 -0.089 -0.027 -0.092 PCT25 0.176 -0.075 -0.012 -0.041 PCT75 0.181 -0.056 0.010 0.038 PCT95 0.184 -0.044 0.025 0.089 Beta results, case 62 30 100 2 5 0.2 MEAN -0.030 0.006 0.000 -0.001 STDEV 0.020 0.022 0.022 0.032 MEDIAN -0.030 0.005 0.000 0.000 RMSE 0.036 0.023 0.022 0.032 PCT05 -0.065 -0.032 -0.037 -0.055 PCT25 -0.043 -0.009 -0.015 -0.023 PCT75 -0.017 0.022 0.016 0.020 PCT95 0.003 0.043 0.036 0.052 Time to run 1000 draws= 1.30 minutes Gamma results, case 63 30 100 8 5 0.2 MEAN 0.621 -0.006 0.000 0.000 STDEV 0.021 0.007 0.007 0.015 MEDIAN 0.623 -0.006 0.000 0.000 RMSE 0.622 0.009 0.007 0.015 PCT05 0.584 -0.018 -0.012 -0.024 PCT25 0.608 -0.011 -0.005 -0.011 PCT75 0.636 -0.001 0.005 0.010 PCT95 0.654 0.006 0.012 0.024 Beta results, case 63 30 100 8 5 0.8 MEAN -0.276 0.002 0.000 0.000 STDEV 0.017 0.007 0.007 0.009 MEDIAN -0.276 0.003 0.000 0.000 RMSE 0.276 0.007 0.007 0.009 PCT05 -0.303 -0.009 -0.011 -0.016 PCT25 -0.287 -0.003 -0.005 -0.006 PCT75 -0.265 0.007 0.005 0.006 PCT95 -0.247 0.013 0.011 0.014 Time to run 1000 draws= 1.31 minutes Gamma results, case 64 30 100 8 5 0.8 MEAN 0.150 -0.024 0.000 -0.001 STDEV 0.006 0.008 0.008 0.035 MEDIAN 0.150 -0.024 0.000 0.001 RMSE 0.150 0.025 0.008 0.035 PCT05 0.138 -0.036 -0.013 -0.060 PCT25 0.146 -0.029 -0.006 -0.025 PCT75 0.154 -0.019 0.006 0.024 PCT95 0.159 -0.011 0.013 0.055 Beta results, case 64 30 100 8 5 0.2 MEAN -0.025 0.002 0.000 0.000 STDEV 0.005 0.004 0.004 0.006 MEDIAN -0.025 0.002 0.000 0.000 RMSE 0.025 0.005 0.004 0.006 PCT05 -0.033 -0.005 -0.007 -0.010 PCT25 -0.028 -0.001 -0.003 -0.004 PCT75 -0.022 0.005 0.003 0.004 PCT95 -0.017 0.009 0.007 0.009 Time to run 1000 draws= 1.32 minutes