Bureau of Transportation Statistics (BTS)
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Table 2
Example MCMC Simulation Output for Model 27: Some Statistics of the Estimated Posterior Density for a Selected Number of Parameters

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Parameter Mean Standard error 2.5% Median 97.5%
α1 -0.963 0.154 -1.269 -0.964 -0.662
α2 -0.639 0.148 -0.929 -0.635 -0.356
α3 -1.131 0.162 -1.450 -1.128 -0.823
α4 -1.240 0.183 -1.595 -1.237 -0.882
α5 -1.288 0.155 -1.595 -1.283 -0.993
α6 -1.427 0.182 -1.768 -1.429 -1.066
α7 -1.376 0.128 -1.629 -1.375 -1.127
α8 -1.218 0.130 -1.479 -1.215 -0.978
α9 -0.984 0.158 -1.283 -0.986 -0.666
α10 -0.582 0.162 -0.889 -0.584 -0.260
α11 -0.610 0.156 -0.924 -0.602 -0.321
α12 -0.498 0.208 -0.918 -0.489 -0.097
α13 -0.919 0.149 -1.232 -0.914 -0.634
α14 -0.668 0.137 -0.943 -0.668 -0.398
α15 -0.770 0.139 -1.045 -0.772 -0.503
α16 -0.893 0.165 -1.216 -0.891 -0.551
α17 -0.754 0.139 -1.030 -0.756 -0.495
α18 -0.630 0.170 -0.966 -0.621 -0.294
α19 -0.649 0.171 -0.975 -0.645 -0.326
α20 -0.877 0.208 -1.282 -0.880 -0.459
α21 -1.005 0.308 -1.656 -0.981 -0.442
α22 -1.561 0.224 -1.980 -1.566 -1.114
α23 -1.189 0.147 -1.483 -1.187 -0.901
α24 -1.114 0.378 -1.831 -1.127 -0.379
α25 -1.401 0.156 -1.712 -1.396 -1.094
δ1 (set to 0)          
δ2 0.0132 0.026 -0.0380 0.0129 0.0645
δ3 -0.0156 0.027 -0.0677 -0.0156 0.0376
δ4 0.0508 0.027 -0.0009 0.0508 0.1034
δ5 0.0929 0.027 0.0418 0.0926 0.1453
δ6 0.0886 0.027 0.0365 0.0886 0.1408
δ7 0.0632 0.027 0.0111 0.0631 0.1155
δ8 0.0603 0.026 0.0089 0.0601 0.1123
β1 0.00286 0.0018 -0.00079 0.0029 0.00648
β2 0.00723 0.0019 0.0035 0.00721 0.01103
β3 -0.00057 0.0014 -0.00346 -0.00057 0.00229
β4 -0.00004 0.0002 -0.00050 -0.00004 0.0004
β5 0.00009 0.0002 -0.00028 -0.00010 0.00048
β6 -0.00015 0.0002 -0.00045 -0.00015 0.00014
Ψ 46.52 5.04 37.83 46.18 57.41
1/η 0.0023 0.0002 0.0019 0.0023 0.0028