Model run using Apollo for R, version 0.2.3 on Darwin by stephane.hess www.ApolloChoiceModelling.com Model name : Apollo_example_17 Model description : Mixed MDCEV model on time use data, alpha-gamma profile, no outside good and random constants only in utilities Model run at : 2021-02-05 12:24:04 Estimation method : bfgs Model diagnosis : successful convergence Number of individuals : 447 Number of rows in database : 2826 Number of modelled outcomes : 2826 Number of cores used : 4 Number of inter-individual draws : 500 (mlhs) LL(start) : -36122.93 LL(0) : Not applicable LL(final) : -23488.21 Rho-square (0) : Not applicable Adj.Rho-square (0) : Not applicable AIC : 47046.42 BIC : 47254.55 Estimated parameters : 35 Time taken (hh:mm:ss) : 01:20:5.43 pre-estimation : 00:00:42.19 estimation : 00:38:33.42 post-estimation : 00:40:49.81 Iterations : 113 Min abs eigenvalue of Hessian : 0.124334 Estimates: Estimate s.e. t.rat.(0) Rob.s.e. alpha_base -9.19467 2.83599 -3.2421 0.05499 gamma_dropOff 0.31718 0.03239 9.7926 0.04961 gamma_work 5.52962 0.33403 16.5543 0.26619 gamma_school 2.21033 0.41865 5.2797 0.36758 gamma_shopping 0.39793 0.02563 15.5245 0.02944 gamma_privBusiness 0.54550 0.04485 12.1619 0.05792 gamma_petrol 0.11108 0.02397 4.6337 0.03073 gamma_leisure 1.67662 0.10324 16.2395 0.10357 gamma_vacation 1.51877 0.57801 2.6276 0.42221 gamma_exercise 2.07361 0.19279 10.7560 0.21487 gamma_home 2.62203 0.23613 11.1041 0.39169 gamma_travel 0.19110 0.01083 17.6449 0.01133 gamma_other 1.66236 0.50093 3.3186 0.81656 delta_dropOff_mu -4.33035 0.15573 -27.8059 0.18913 delta_work_mu -2.46010 0.09121 -26.9718 0.13562 delta_school_mu -7.58812 0.43299 -17.5250 0.45476 delta_shopping_mu -2.83241 0.08846 -32.0183 0.13693 delta_privBusiness_mu -3.42937 0.10277 -33.3696 0.15046 delta_petrol_mu -6.07317 0.29873 -20.3303 0.57842 delta_leisure_mu -2.70023 0.08819 -30.6186 0.14011 delta_vacation_mu -7.41734 0.45452 -16.3192 0.38649 delta_exercise_mu -4.25333 0.14182 -29.9913 0.17876 delta_home_mu 0.00000 NA NA NA delta_travel_mu -0.04773 0.08949 -0.5333 0.13926 delta_other_mu -6.07437 0.31418 -19.3342 0.37958 delta_dropOff_sigma 1.92937 0.14536 13.2734 0.25861 delta_work_sigma -0.75299 0.05813 -12.9530 0.05969 delta_school_sigma 2.41407 0.23079 10.4601 0.19607 delta_shopping_sigma 0.51872 0.06435 8.0607 0.06137 delta_privBusiness_sigma -0.90773 0.08418 -10.7832 0.09518 delta_petrol_sigma -1.20777 0.27456 -4.3990 0.59161 delta_leisure_sigma 0.53164 0.06243 8.5152 0.06239 delta_vacation_sigma -1.21408 0.29749 -4.0811 0.15872 delta_exercise_sigma -1.47557 0.08949 -16.4884 0.09208 delta_home_sigma 0.00000 NA NA NA delta_travel_sigma -0.22113 0.05895 -3.7513 0.07985 delta_other_sigma 1.00529 0.32756 3.0690 0.39434 sig 1.00000 NA NA NA Rob.t.rat.(0) alpha_base -167.2023 gamma_dropOff 6.3940 gamma_work 20.7734 gamma_school 6.0132 gamma_shopping 13.5153 gamma_privBusiness 9.4187 gamma_petrol 3.6142 gamma_leisure 16.1890 gamma_vacation 3.5972 gamma_exercise 9.6505 gamma_home 6.6941 gamma_travel 16.8725 gamma_other 2.0358 delta_dropOff_mu -22.8963 delta_work_mu -18.1395 delta_school_mu -16.6858 delta_shopping_mu -20.6854 delta_privBusiness_mu -22.7920 delta_petrol_mu -10.4996 delta_leisure_mu -19.2722 delta_vacation_mu -19.1918 delta_exercise_mu -23.7941 delta_home_mu NA delta_travel_mu -0.3427 delta_other_mu -16.0028 delta_dropOff_sigma 7.4605 delta_work_sigma -12.6143 delta_school_sigma 12.3124 delta_shopping_sigma 8.4524 delta_privBusiness_sigma -9.5372 delta_petrol_sigma -2.0415 delta_leisure_sigma 8.5217 delta_vacation_sigma -7.6494 delta_exercise_sigma -16.0253 delta_home_sigma NA delta_travel_sigma -2.7691 delta_other_sigma 2.5493 sig NA Overview of choices for MDCEV model component : dropOff work school shopping privBusi Times available 2826.00 2826.00 2826.00 2826.0 2826.00 Observations in which chosen 394.00 1139.00 85.00 783.0 535.00 Average consumption when available 0.39 2.89 0.11 0.5 0.44 Average consumption when chosen 2.81 7.17 3.52 1.8 2.34 petrol leisure vacation exercise home Times available 2826.00 2826.00 2826.00 2826.00 2826.00 Observations in which chosen 66.00 883.00 21.00 420.00 2770.00 Average consumption when available 0.03 1.10 0.02 0.73 16.10 Average consumption when chosen 1.33 3.52 2.75 4.90 16.43 travel other Times available 2826.00 2826.00 Observations in which chosen 2328.00 56.00 Average consumption when available 1.59 0.10 Average consumption when chosen 1.93 4.82 Classical covariance matrix: alpha_base gamma_dropOff alpha_base 8.042854 -5.0941e-04 gamma_dropOff -5.0941e-04 0.001049 gamma_work -0.005878 -1.773e-06 gamma_school -0.002377 -2.694e-05 gamma_shopping -5.1887e-04 -8.502e-07 gamma_privBusiness -7.9294e-04 4.431e-07 gamma_petrol -1.3948e-04 1.005e-07 gamma_leisure -0.002011 -8.482e-07 gamma_vacation -0.001721 2.638e-06 gamma_exercise -0.002632 -9.966e-06 gamma_home -0.004317 -1.885e-05 gamma_travel -2.4847e-04 2.624e-06 gamma_other -0.003182 -2.879e-06 delta_dropOff_mu 1.9612e-04 2.0861e-04 delta_work_mu 1.1037e-04 1.158e-06 delta_school_mu -4.107e-06 -1.0012e-04 delta_shopping_mu 8.661e-05 -8.507e-06 delta_privBusiness_mu 9.992e-05 -7.824e-06 delta_petrol_mu -3.755e-05 -8.496e-06 delta_leisure_mu 1.0401e-04 -7.380e-06 delta_vacation_mu 2.8833e-04 2.687e-05 delta_exercise_mu 1.9561e-04 -2.581e-05 delta_travel_mu -3.4115e-04 -2.080e-05 delta_other_mu -1.3631e-04 -2.399e-06 delta_dropOff_sigma -1.4684e-04 -9.9606e-04 delta_work_sigma 1.2092e-04 6.946e-06 delta_school_sigma 9.044e-05 5.401e-05 delta_shopping_sigma 3.749e-05 6.909e-06 delta_privBusiness_sigma -9.375e-06 6.527e-06 delta_petrol_sigma -1.5327e-04 -3.196e-06 delta_leisure_sigma -5.544e-05 1.487e-06 delta_vacation_sigma 9.215e-05 1.546e-05 delta_exercise_sigma 1.4577e-04 -1.020e-05 delta_travel_sigma 6.1075e-04 1.748e-05 delta_other_sigma 2.8160e-04 7.188e-06 gamma_work gamma_school alpha_base -0.005878 -0.002377 gamma_dropOff -1.773e-06 -2.694e-05 gamma_work 0.111575 -4.7010e-04 gamma_school -4.7010e-04 0.175267 gamma_shopping -4.601e-05 -2.292e-06 gamma_privBusiness -8.085e-05 -1.336e-05 gamma_petrol -1.285e-05 -6.806e-07 gamma_leisure -4.3994e-04 -8.832e-05 gamma_vacation 1.871e-06 -1.0407e-04 gamma_exercise -5.2902e-04 -1.2845e-04 gamma_home -0.006164 -5.6732e-04 gamma_travel 4.658e-05 -2.129e-06 gamma_other -5.4913e-04 -6.621e-05 delta_dropOff_mu -0.001882 -2.1123e-04 delta_work_mu -0.004693 -8.644e-05 delta_school_mu -0.003654 0.019285 delta_shopping_mu -0.001999 -1.4031e-04 delta_privBusiness_mu -0.002059 -4.5062e-04 delta_petrol_mu -0.002948 -1.9814e-04 delta_leisure_mu -0.001865 -2.0437e-04 delta_vacation_mu -0.002035 -0.001653 delta_exercise_mu -0.001755 -2.2374e-04 delta_travel_mu -0.002171 -1.8260e-04 delta_other_mu -0.001663 -1.5687e-04 delta_dropOff_sigma 1.4844e-04 -5.649e-06 delta_work_sigma 0.005262 -1.4776e-04 delta_school_sigma 7.6439e-04 -0.017775 delta_shopping_sigma 3.7048e-04 -1.908e-05 delta_privBusiness_sigma -4.8215e-04 -1.5031e-04 delta_petrol_sigma -0.001009 -3.043e-05 delta_leisure_sigma 3.9906e-04 4.749e-05 delta_vacation_sigma -1.1870e-04 -0.001136 delta_exercise_sigma -1.7399e-04 -5.039e-05 delta_travel_sigma -3.191e-05 -2.2932e-04 delta_other_sigma -3.3775e-04 -3.118e-05 gamma_shopping gamma_privBusiness alpha_base -5.1887e-04 -7.9294e-04 gamma_dropOff -8.502e-07 4.431e-07 gamma_work -4.601e-05 -8.085e-05 gamma_school -2.292e-06 -1.336e-05 gamma_shopping 6.5702e-04 -8.657e-08 gamma_privBusiness -8.657e-08 0.002012 gamma_petrol 2.607e-07 -9.917e-07 gamma_leisure -5.213e-06 -4.826e-06 gamma_vacation -1.505e-05 -1.783e-06 gamma_exercise -1.051e-05 -1.573e-05 gamma_home -1.379e-05 -5.180e-05 gamma_travel -6.816e-09 1.218e-06 gamma_other 4.071e-06 4.091e-06 delta_dropOff_mu -2.822e-05 -2.206e-05 delta_work_mu -1.589e-06 -1.665e-05 delta_school_mu -1.150e-05 -4.509e-05 delta_shopping_mu -1.1544e-04 -1.982e-05 delta_privBusiness_mu -9.644e-06 -1.0306e-04 delta_petrol_mu 2.877e-05 -8.210e-05 delta_leisure_mu -4.313e-06 -1.718e-05 delta_vacation_mu -3.033e-05 -3.593e-05 delta_exercise_mu -2.219e-05 -2.656e-05 delta_travel_mu -7.061e-06 -2.664e-05 delta_other_mu 2.683e-05 8.652e-05 delta_dropOff_sigma -2.442e-05 -9.732e-07 delta_work_sigma -1.064e-05 -2.389e-05 delta_school_sigma -8.196e-06 2.175e-05 delta_shopping_sigma -2.9039e-04 8.704e-06 delta_privBusiness_sigma -8.273e-06 6.1318e-04 delta_petrol_sigma 4.150e-05 -6.196e-05 delta_leisure_sigma 7.858e-06 -3.470e-06 delta_vacation_sigma 5.926e-06 -4.756e-06 delta_exercise_sigma -1.783e-05 -2.064e-05 delta_travel_sigma -2.925e-05 -2.654e-05 delta_other_sigma -4.025e-05 -1.1461e-04 gamma_petrol gamma_leisure alpha_base -1.3948e-04 -0.002011 gamma_dropOff 1.005e-07 -8.482e-07 gamma_work -1.285e-05 -4.3994e-04 gamma_school -6.806e-07 -8.832e-05 gamma_shopping 2.607e-07 -5.213e-06 gamma_privBusiness -9.917e-07 -4.826e-06 gamma_petrol 5.7466e-04 1.247e-06 gamma_leisure 1.247e-06 0.010659 gamma_vacation -1.588e-06 -6.406e-05 gamma_exercise -1.844e-06 -5.911e-05 gamma_home -1.101e-05 -4.4970e-04 gamma_travel -2.039e-07 1.033e-05 gamma_other -6.743e-06 -9.444e-05 delta_dropOff_mu -1.407e-05 -2.1710e-04 delta_work_mu -5.359e-06 -1.0858e-04 delta_school_mu -1.735e-05 -4.0676e-04 delta_shopping_mu -2.278e-06 -1.4121e-04 delta_privBusiness_mu -4.188e-06 -1.3330e-04 delta_petrol_mu 4.4646e-04 -1.1145e-04 delta_leisure_mu -1.059e-06 -6.8020e-04 delta_vacation_mu -1.505e-05 -3.5267e-04 delta_exercise_mu -2.014e-05 -1.3364e-04 delta_travel_mu -1.990e-06 -1.9354e-04 delta_other_mu -6.128e-05 -4.1753e-04 delta_dropOff_sigma 1.783e-05 7.003e-05 delta_work_sigma -5.136e-06 -5.947e-05 delta_school_sigma 1.393e-05 9.359e-05 delta_shopping_sigma -5.132e-06 1.988e-05 delta_privBusiness_sigma -8.654e-06 7.858e-06 delta_petrol_sigma 5.9852e-04 7.607e-05 delta_leisure_sigma -1.918e-06 -0.001398 delta_vacation_sigma -1.299e-05 -1.8264e-04 delta_exercise_sigma -8.574e-06 -2.055e-05 delta_travel_sigma -4.933e-06 6.121e-05 delta_other_sigma 6.157e-05 3.7174e-04 gamma_vacation gamma_exercise alpha_base -0.001721 -0.002632 gamma_dropOff 2.638e-06 -9.966e-06 gamma_work 1.871e-06 -5.2902e-04 gamma_school -1.0407e-04 -1.2845e-04 gamma_shopping -1.505e-05 -1.051e-05 gamma_privBusiness -1.783e-06 -1.573e-05 gamma_petrol -1.588e-06 -1.844e-06 gamma_leisure -6.406e-05 -5.911e-05 gamma_vacation 0.334094 -3.773e-07 gamma_exercise -3.773e-07 0.037167 gamma_home -3.8747e-04 -8.2501e-04 gamma_travel 5.581e-06 9.436e-06 gamma_other -2.2574e-04 -1.850e-05 delta_dropOff_mu -1.4413e-04 -3.7827e-04 delta_work_mu -1.0828e-04 -2.3358e-04 delta_school_mu -7.3289e-04 -2.8090e-04 delta_shopping_mu -1.3538e-04 -2.6919e-04 delta_privBusiness_mu -1.1637e-04 -2.9541e-04 delta_petrol_mu -3.3953e-04 -6.1130e-04 delta_leisure_mu -1.3125e-04 -2.8358e-04 delta_vacation_mu 0.007145 -3.1872e-04 delta_exercise_mu -9.038e-05 8.9154e-04 delta_travel_mu -1.3834e-04 -3.1688e-04 delta_other_mu -4.1950e-04 -1.5090e-04 delta_dropOff_sigma -2.007e-05 9.692e-05 delta_work_sigma 3.963e-05 -4.933e-05 delta_school_sigma 3.3183e-04 1.0927e-04 delta_shopping_sigma 1.6328e-04 8.264e-05 delta_privBusiness_sigma 1.465e-05 -9.710e-05 delta_petrol_sigma -2.2899e-04 -3.7218e-04 delta_leisure_sigma 2.403e-05 5.007e-05 delta_vacation_sigma 0.006998 -1.2494e-04 delta_exercise_sigma 2.447e-05 0.003969 delta_travel_sigma 9.827e-05 -5.518e-06 delta_other_sigma 3.6624e-04 -1.2233e-04 gamma_home gamma_travel alpha_base -0.004317 -2.4847e-04 gamma_dropOff -1.885e-05 2.624e-06 gamma_work -0.006164 4.658e-05 gamma_school -5.6732e-04 -2.129e-06 gamma_shopping -1.379e-05 -6.816e-09 gamma_privBusiness -5.180e-05 1.218e-06 gamma_petrol -1.101e-05 -2.039e-07 gamma_leisure -4.4970e-04 1.033e-05 gamma_vacation -3.8747e-04 5.581e-06 gamma_exercise -8.2501e-04 9.436e-06 gamma_home 0.055759 3.727e-05 gamma_travel 3.727e-05 1.1729e-04 gamma_other -6.5003e-04 -9.049e-06 delta_dropOff_mu 0.017098 2.904e-05 delta_work_mu 0.017230 1.330e-05 delta_school_mu 0.017250 -4.528e-05 delta_shopping_mu 0.017052 4.107e-06 delta_privBusiness_mu 0.017056 9.129e-06 delta_petrol_mu 0.016012 -2.656e-05 delta_leisure_mu 0.017139 9.432e-06 delta_vacation_mu 0.017300 7.231e-05 delta_exercise_mu 0.017510 2.708e-05 delta_travel_mu 0.016963 -4.4972e-04 delta_other_mu 0.016945 -4.763e-05 delta_dropOff_sigma -3.1732e-04 -2.561e-05 delta_work_sigma -9.920e-05 1.858e-05 delta_school_sigma -2.3241e-04 5.181e-05 delta_shopping_sigma -1.680e-05 1.138e-05 delta_privBusiness_sigma 5.782e-05 3.839e-06 delta_petrol_sigma -0.001200 -4.269e-05 delta_leisure_sigma -2.0490e-04 -1.194e-05 delta_vacation_sigma 1.0327e-04 3.353e-05 delta_exercise_sigma 6.4704e-04 2.536e-05 delta_travel_sigma 0.001070 1.8886e-04 delta_other_sigma 1.1430e-04 6.698e-05 gamma_other delta_dropOff_mu alpha_base -0.003182 1.9612e-04 gamma_dropOff -2.879e-06 2.0861e-04 gamma_work -5.4913e-04 -0.001882 gamma_school -6.621e-05 -2.1123e-04 gamma_shopping 4.071e-06 -2.822e-05 gamma_privBusiness 4.091e-06 -2.206e-05 gamma_petrol -6.743e-06 -1.407e-05 gamma_leisure -9.444e-05 -2.1710e-04 gamma_vacation -2.2574e-04 -1.4413e-04 gamma_exercise -1.850e-05 -3.7827e-04 gamma_home -6.5003e-04 0.017098 gamma_travel -9.049e-06 2.904e-05 gamma_other 0.250928 -2.8455e-04 delta_dropOff_mu -2.8455e-04 0.024253 delta_work_mu -1.8854e-04 0.005837 delta_school_mu 1.9523e-04 0.005448 delta_shopping_mu -1.9754e-04 0.005537 delta_privBusiness_mu -3.4209e-04 0.005709 delta_petrol_mu -6.5416e-04 0.003851 delta_leisure_mu -2.3461e-04 0.005587 delta_vacation_mu -7.9431e-04 0.005305 delta_exercise_mu -2.5192e-04 0.005592 delta_travel_mu -1.8642e-04 0.005578 delta_other_mu 0.007931 0.005119 delta_dropOff_sigma -2.4116e-04 -0.012882 delta_work_sigma -4.093e-05 1.1946e-04 delta_school_sigma -3.1409e-04 0.001036 delta_shopping_sigma -2.907e-05 3.0743e-04 delta_privBusiness_sigma 1.6269e-04 -8.383e-05 delta_petrol_sigma -4.2639e-04 -0.001899 delta_leisure_sigma 9.965e-05 3.590e-05 delta_vacation_sigma -4.3583e-04 -1.0004e-04 delta_exercise_sigma 3.837e-05 2.0435e-04 delta_travel_sigma -1.7169e-04 7.2883e-04 delta_other_sigma -0.011526 7.8718e-04 delta_work_mu delta_school_mu alpha_base 1.1037e-04 -4.107e-06 gamma_dropOff 1.158e-06 -1.0012e-04 gamma_work -0.004693 -0.003654 gamma_school -8.644e-05 0.019285 gamma_shopping -1.589e-06 -1.150e-05 gamma_privBusiness -1.665e-05 -4.509e-05 gamma_petrol -5.359e-06 -1.735e-05 gamma_leisure -1.0858e-04 -4.0676e-04 gamma_vacation -1.0828e-04 -7.3289e-04 gamma_exercise -2.3358e-04 -2.8090e-04 gamma_home 0.017230 0.017250 gamma_travel 1.330e-05 -4.528e-05 gamma_other -1.8854e-04 1.9523e-04 delta_dropOff_mu 0.005837 0.005448 delta_work_mu 0.008319 0.006105 delta_school_mu 0.006105 0.187480 delta_shopping_mu 0.005658 0.005311 delta_privBusiness_mu 0.005623 0.004380 delta_petrol_mu 0.005053 0.003589 delta_leisure_mu 0.005680 0.005443 delta_vacation_mu 0.005838 -0.001179 delta_exercise_mu 0.005893 0.005687 delta_travel_mu 0.005653 0.005789 delta_other_mu 0.005617 0.008526 delta_dropOff_sigma -2.6149e-04 6.7138e-04 delta_work_sigma 7.6535e-04 -6.5050e-04 delta_school_sigma -2.0873e-04 -0.087470 delta_shopping_sigma 4.157e-05 8.650e-05 delta_privBusiness_sigma -4.165e-06 -8.4931e-04 delta_petrol_sigma -5.8352e-04 -0.002050 delta_leisure_sigma -8.618e-05 3.3590e-04 delta_vacation_sigma 1.4627e-04 -0.004837 delta_exercise_sigma 1.8405e-04 4.4356e-04 delta_travel_sigma 5.4093e-04 -5.0500e-04 delta_other_sigma 8.367e-05 -0.003487 delta_shopping_mu delta_privBusiness_mu alpha_base 8.661e-05 9.992e-05 gamma_dropOff -8.507e-06 -7.824e-06 gamma_work -0.001999 -0.002059 gamma_school -1.4031e-04 -4.5062e-04 gamma_shopping -1.1544e-04 -9.644e-06 gamma_privBusiness -1.982e-05 -1.0306e-04 gamma_petrol -2.278e-06 -4.188e-06 gamma_leisure -1.4121e-04 -1.3330e-04 gamma_vacation -1.3538e-04 -1.1637e-04 gamma_exercise -2.6919e-04 -2.9541e-04 gamma_home 0.017052 0.017056 gamma_travel 4.107e-06 9.129e-06 gamma_other -1.9754e-04 -3.4209e-04 delta_dropOff_mu 0.005537 0.005709 delta_work_mu 0.005658 0.005623 delta_school_mu 0.005311 0.004380 delta_shopping_mu 0.007826 0.005580 delta_privBusiness_mu 0.005580 0.010562 delta_petrol_mu 0.005532 0.005031 delta_leisure_mu 0.005641 0.005622 delta_vacation_mu 0.005554 0.005492 delta_exercise_mu 0.005755 0.005619 delta_travel_mu 0.005615 0.005610 delta_other_mu 0.005565 0.004636 delta_dropOff_sigma -2.8272e-04 3.340e-05 delta_work_sigma -9.461e-05 -9.712e-05 delta_school_sigma -1.1036e-04 8.4735e-04 delta_shopping_sigma -9.6595e-04 7.010e-05 delta_privBusiness_sigma -1.457e-05 0.002438 delta_petrol_sigma -1.1275e-04 -6.1759e-04 delta_leisure_sigma -7.537e-05 -7.043e-05 delta_vacation_sigma -1.1249e-04 -1.5391e-04 delta_exercise_sigma 1.4163e-04 2.1945e-04 delta_travel_sigma 3.1605e-04 3.3595e-04 delta_other_sigma -4.036e-05 0.001118 delta_petrol_mu delta_leisure_mu alpha_base -3.755e-05 1.0401e-04 gamma_dropOff -8.496e-06 -7.380e-06 gamma_work -0.002948 -0.001865 gamma_school -1.9814e-04 -2.0437e-04 gamma_shopping 2.877e-05 -4.313e-06 gamma_privBusiness -8.210e-05 -1.718e-05 gamma_petrol 4.4646e-04 -1.059e-06 gamma_leisure -1.1145e-04 -6.8020e-04 gamma_vacation -3.3953e-04 -1.3125e-04 gamma_exercise -6.1130e-04 -2.8358e-04 gamma_home 0.016012 0.017139 gamma_travel -2.656e-05 9.432e-06 gamma_other -6.5416e-04 -2.3461e-04 delta_dropOff_mu 0.003851 0.005587 delta_work_mu 0.005053 0.005680 delta_school_mu 0.003589 0.005443 delta_shopping_mu 0.005532 0.005641 delta_privBusiness_mu 0.005031 0.005622 delta_petrol_mu 0.089237 0.005495 delta_leisure_mu 0.005495 0.007777 delta_vacation_mu 0.003753 0.005357 delta_exercise_mu 0.003054 0.005805 delta_travel_mu 0.005470 0.005629 delta_other_mu 0.001332 0.005274 delta_dropOff_sigma 0.002163 -3.321e-05 delta_work_sigma -5.8587e-04 -4.267e-05 delta_school_sigma 9.5889e-04 7.569e-06 delta_shopping_sigma -5.8715e-04 7.652e-07 delta_privBusiness_sigma -5.8091e-04 -1.388e-05 delta_petrol_sigma 0.069131 -1.9149e-04 delta_leisure_sigma -3.089e-05 -9.5027e-04 delta_vacation_sigma -0.001572 -2.7301e-04 delta_exercise_sigma -9.0907e-04 1.2821e-04 delta_travel_sigma -3.0773e-04 4.3140e-04 delta_other_sigma 0.003969 4.3843e-04 delta_vacation_mu delta_exercise_mu alpha_base 2.8833e-04 1.9561e-04 gamma_dropOff 2.687e-05 -2.581e-05 gamma_work -0.002035 -0.001755 gamma_school -0.001653 -2.2374e-04 gamma_shopping -3.033e-05 -2.219e-05 gamma_privBusiness -3.593e-05 -2.656e-05 gamma_petrol -1.505e-05 -2.014e-05 gamma_leisure -3.5267e-04 -1.3364e-04 gamma_vacation 0.007145 -9.038e-05 gamma_exercise -3.1872e-04 8.9154e-04 gamma_home 0.017300 0.017510 gamma_travel 7.231e-05 2.708e-05 gamma_other -7.9431e-04 -2.5192e-04 delta_dropOff_mu 0.005305 0.005592 delta_work_mu 0.005838 0.005893 delta_school_mu -0.001179 0.005687 delta_shopping_mu 0.005554 0.005755 delta_privBusiness_mu 0.005492 0.005619 delta_petrol_mu 0.003753 0.003054 delta_leisure_mu 0.005357 0.005805 delta_vacation_mu 0.206586 0.006392 delta_exercise_mu 0.006392 0.020113 delta_travel_mu 0.005415 0.005694 delta_other_mu 0.001356 0.005490 delta_dropOff_sigma -4.2303e-04 1.7704e-04 delta_work_sigma 1.6602e-04 1.4170e-04 delta_school_sigma 0.004004 2.300e-06 delta_shopping_sigma 3.1323e-04 1.6446e-04 delta_privBusiness_sigma -8.162e-05 -1.4129e-04 delta_petrol_sigma -0.002042 -0.002798 delta_leisure_sigma 3.9578e-04 -2.0652e-04 delta_vacation_sigma 0.113048 1.4372e-04 delta_exercise_sigma 4.2558e-04 0.007280 delta_travel_sigma 0.001393 7.6907e-04 delta_other_sigma 0.005337 6.3127e-04 delta_travel_mu delta_other_mu alpha_base -3.4115e-04 -1.3631e-04 gamma_dropOff -2.080e-05 -2.399e-06 gamma_work -0.002171 -0.001663 gamma_school -1.8260e-04 -1.5687e-04 gamma_shopping -7.061e-06 2.683e-05 gamma_privBusiness -2.664e-05 8.652e-05 gamma_petrol -1.990e-06 -6.128e-05 gamma_leisure -1.9354e-04 -4.1753e-04 gamma_vacation -1.3834e-04 -4.1950e-04 gamma_exercise -3.1688e-04 -1.5090e-04 gamma_home 0.016963 0.016945 gamma_travel -4.4972e-04 -4.763e-05 gamma_other -1.8642e-04 0.007931 delta_dropOff_mu 0.005578 0.005119 delta_work_mu 0.005653 0.005617 delta_school_mu 0.005789 0.008526 delta_shopping_mu 0.005615 0.005565 delta_privBusiness_mu 0.005610 0.004636 delta_petrol_mu 0.005470 0.001332 delta_leisure_mu 0.005629 0.005274 delta_vacation_mu 0.005415 0.001356 delta_exercise_mu 0.005694 0.005490 delta_travel_mu 0.008008 0.005644 delta_other_mu 0.005644 0.098707 delta_dropOff_sigma 6.402e-06 -0.001994 delta_work_sigma -8.247e-05 -2.0099e-04 delta_school_sigma -1.9951e-04 -0.002626 delta_shopping_sigma -2.881e-05 -7.339e-05 delta_privBusiness_sigma -3.566e-05 0.001256 delta_petrol_sigma -1.5508e-04 -0.004200 delta_leisure_sigma -4.072e-05 5.3713e-04 delta_vacation_sigma -1.0782e-04 -0.003100 delta_exercise_sigma 1.3322e-04 5.0946e-04 delta_travel_sigma -2.5545e-04 -7.6428e-04 delta_other_sigma -7.125e-05 -0.087758 delta_dropOff_sigma delta_work_sigma alpha_base -1.4684e-04 1.2092e-04 gamma_dropOff -9.9606e-04 6.946e-06 gamma_work 1.4844e-04 0.005262 gamma_school -5.649e-06 -1.4776e-04 gamma_shopping -2.442e-05 -1.064e-05 gamma_privBusiness -9.732e-07 -2.389e-05 gamma_petrol 1.783e-05 -5.136e-06 gamma_leisure 7.003e-05 -5.947e-05 gamma_vacation -2.007e-05 3.963e-05 gamma_exercise 9.692e-05 -4.933e-05 gamma_home -3.1732e-04 -9.920e-05 gamma_travel -2.561e-05 1.858e-05 gamma_other -2.4116e-04 -4.093e-05 delta_dropOff_mu -0.012882 1.1946e-04 delta_work_mu -2.6149e-04 7.6535e-04 delta_school_mu 6.7138e-04 -6.5050e-04 delta_shopping_mu -2.8272e-04 -9.461e-05 delta_privBusiness_mu 3.340e-05 -9.712e-05 delta_petrol_mu 0.002163 -5.8587e-04 delta_leisure_mu -3.321e-05 -4.267e-05 delta_vacation_mu -4.2303e-04 1.6602e-04 delta_exercise_mu 1.7704e-04 1.4170e-04 delta_travel_mu 6.402e-06 -8.247e-05 delta_other_mu -0.001994 -2.0099e-04 delta_dropOff_sigma 0.021128 -1.2808e-04 delta_work_sigma -1.2808e-04 0.003379 delta_school_sigma -4.8734e-04 4.2709e-04 delta_shopping_sigma 2.5325e-04 2.4102e-04 delta_privBusiness_sigma -1.0656e-04 -3.1132e-04 delta_petrol_sigma 0.002313 -5.8328e-04 delta_leisure_sigma -1.4517e-04 2.3475e-04 delta_vacation_sigma -2.1037e-04 8.089e-05 delta_exercise_sigma 1.3814e-04 6.510e-06 delta_travel_sigma -4.3406e-04 3.3228e-04 delta_other_sigma 0.002203 2.2153e-04 delta_school_sigma delta_shopping_sigma alpha_base 9.044e-05 3.749e-05 gamma_dropOff 5.401e-05 6.909e-06 gamma_work 7.6439e-04 3.7048e-04 gamma_school -0.017775 -1.908e-05 gamma_shopping -8.196e-06 -2.9039e-04 gamma_privBusiness 2.175e-05 8.704e-06 gamma_petrol 1.393e-05 -5.132e-06 gamma_leisure 9.359e-05 1.988e-05 gamma_vacation 3.3183e-04 1.6328e-04 gamma_exercise 1.0927e-04 8.264e-05 gamma_home -2.3241e-04 -1.680e-05 gamma_travel 5.181e-05 1.138e-05 gamma_other -3.1409e-04 -2.907e-05 delta_dropOff_mu 0.001036 3.0743e-04 delta_work_mu -2.0873e-04 4.157e-05 delta_school_mu -0.087470 8.650e-05 delta_shopping_mu -1.1036e-04 -9.6595e-04 delta_privBusiness_mu 8.4735e-04 7.010e-05 delta_petrol_mu 9.5889e-04 -5.8715e-04 delta_leisure_mu 7.569e-06 7.652e-07 delta_vacation_mu 0.004004 3.1323e-04 delta_exercise_mu 2.300e-06 1.6446e-04 delta_travel_mu -1.9951e-04 -2.881e-05 delta_other_mu -0.002626 -7.339e-05 delta_dropOff_sigma -4.8734e-04 2.5325e-04 delta_work_sigma 4.2709e-04 2.4102e-04 delta_school_sigma 0.053264 7.937e-05 delta_shopping_sigma 7.937e-05 0.004141 delta_privBusiness_sigma 5.9855e-04 1.2773e-04 delta_petrol_sigma 0.001421 -7.2091e-04 delta_leisure_sigma -3.517e-05 -3.128e-05 delta_vacation_sigma 0.002998 -1.156e-05 delta_exercise_sigma 1.6411e-04 1.7112e-04 delta_travel_sigma 7.9666e-04 2.4387e-04 delta_other_sigma 0.002889 1.2301e-04 delta_privBusiness_sigma delta_petrol_sigma alpha_base -9.375e-06 -1.5327e-04 gamma_dropOff 6.527e-06 -3.196e-06 gamma_work -4.8215e-04 -0.001009 gamma_school -1.5031e-04 -3.043e-05 gamma_shopping -8.273e-06 4.150e-05 gamma_privBusiness 6.1318e-04 -6.196e-05 gamma_petrol -8.654e-06 5.9852e-04 gamma_leisure 7.858e-06 7.607e-05 gamma_vacation 1.465e-05 -2.2899e-04 gamma_exercise -9.710e-05 -3.7218e-04 gamma_home 5.782e-05 -0.001200 gamma_travel 3.839e-06 -4.269e-05 gamma_other 1.6269e-04 -4.2639e-04 delta_dropOff_mu -8.383e-05 -0.001899 delta_work_mu -4.165e-06 -5.8352e-04 delta_school_mu -8.4931e-04 -0.002050 delta_shopping_mu -1.457e-05 -1.1275e-04 delta_privBusiness_mu 0.002438 -6.1759e-04 delta_petrol_mu -5.8091e-04 0.069131 delta_leisure_mu -1.388e-05 -1.9149e-04 delta_vacation_mu -8.162e-05 -0.002042 delta_exercise_mu -1.4129e-04 -0.002798 delta_travel_mu -3.566e-05 -1.5508e-04 delta_other_mu 0.001256 -0.004200 delta_dropOff_sigma -1.0656e-04 0.002313 delta_work_sigma -3.1132e-04 -5.8328e-04 delta_school_sigma 5.9855e-04 0.001421 delta_shopping_sigma 1.2773e-04 -7.2091e-04 delta_privBusiness_sigma 0.007086 -5.4987e-04 delta_petrol_sigma -5.4987e-04 0.075382 delta_leisure_sigma -1.1069e-04 -4.227e-05 delta_vacation_sigma -1.103e-05 -0.001780 delta_exercise_sigma -2.3086e-04 -0.001286 delta_travel_sigma -1.4798e-04 -7.7429e-04 delta_other_sigma -0.001451 0.003903 delta_leisure_sigma delta_vacation_sigma alpha_base -5.544e-05 9.215e-05 gamma_dropOff 1.487e-06 1.546e-05 gamma_work 3.9906e-04 -1.1870e-04 gamma_school 4.749e-05 -0.001136 gamma_shopping 7.858e-06 5.926e-06 gamma_privBusiness -3.470e-06 -4.756e-06 gamma_petrol -1.918e-06 -1.299e-05 gamma_leisure -0.001398 -1.8264e-04 gamma_vacation 2.403e-05 0.006998 gamma_exercise 5.007e-05 -1.2494e-04 gamma_home -2.0490e-04 1.0327e-04 gamma_travel -1.194e-05 3.353e-05 gamma_other 9.965e-05 -4.3583e-04 delta_dropOff_mu 3.590e-05 -1.0004e-04 delta_work_mu -8.618e-05 1.4627e-04 delta_school_mu 3.3590e-04 -0.004837 delta_shopping_mu -7.537e-05 -1.1249e-04 delta_privBusiness_mu -7.043e-05 -1.5391e-04 delta_petrol_mu -3.089e-05 -0.001572 delta_leisure_mu -9.5027e-04 -2.7301e-04 delta_vacation_mu 3.9578e-04 0.113048 delta_exercise_mu -2.0652e-04 1.4372e-04 delta_travel_mu -4.072e-05 -1.0782e-04 delta_other_mu 5.3713e-04 -0.003100 delta_dropOff_sigma -1.4517e-04 -2.1037e-04 delta_work_sigma 2.3475e-04 8.089e-05 delta_school_sigma -3.517e-05 0.002998 delta_shopping_sigma -3.128e-05 -1.156e-05 delta_privBusiness_sigma -1.1069e-04 -1.103e-05 delta_petrol_sigma -4.227e-05 -0.001780 delta_leisure_sigma 0.003898 3.7721e-04 delta_vacation_sigma 3.7721e-04 0.088498 delta_exercise_sigma 6.766e-05 -2.590e-05 delta_travel_sigma -2.5489e-04 4.9373e-04 delta_other_sigma -8.4200e-04 0.003947 delta_exercise_sigma delta_travel_sigma alpha_base 1.4577e-04 6.1075e-04 gamma_dropOff -1.020e-05 1.748e-05 gamma_work -1.7399e-04 -3.191e-05 gamma_school -5.039e-05 -2.2932e-04 gamma_shopping -1.783e-05 -2.925e-05 gamma_privBusiness -2.064e-05 -2.654e-05 gamma_petrol -8.574e-06 -4.933e-06 gamma_leisure -2.055e-05 6.121e-05 gamma_vacation 2.447e-05 9.827e-05 gamma_exercise 0.003969 -5.518e-06 gamma_home 6.4704e-04 0.001070 gamma_travel 2.536e-05 1.8886e-04 gamma_other 3.837e-05 -1.7169e-04 delta_dropOff_mu 2.0435e-04 7.2883e-04 delta_work_mu 1.8405e-04 5.4093e-04 delta_school_mu 4.4356e-04 -5.0500e-04 delta_shopping_mu 1.4163e-04 3.1605e-04 delta_privBusiness_mu 2.1945e-04 3.3595e-04 delta_petrol_mu -9.0907e-04 -3.0773e-04 delta_leisure_mu 1.2821e-04 4.3140e-04 delta_vacation_mu 4.2558e-04 0.001393 delta_exercise_mu 0.007280 7.6907e-04 delta_travel_mu 1.3322e-04 -2.5545e-04 delta_other_mu 5.0946e-04 -7.6428e-04 delta_dropOff_sigma 1.3814e-04 -4.3406e-04 delta_work_sigma 6.510e-06 3.3228e-04 delta_school_sigma 1.6411e-04 7.9666e-04 delta_shopping_sigma 1.7112e-04 2.4387e-04 delta_privBusiness_sigma -2.3086e-04 -1.4798e-04 delta_petrol_sigma -0.001286 -7.7429e-04 delta_leisure_sigma 6.766e-05 -2.5489e-04 delta_vacation_sigma -2.590e-05 4.9373e-04 delta_exercise_sigma 0.008009 3.7474e-04 delta_travel_sigma 3.7474e-04 0.003475 delta_other_sigma -3.1587e-04 0.001376 delta_other_sigma alpha_base 2.8160e-04 gamma_dropOff 7.188e-06 gamma_work -3.3775e-04 gamma_school -3.118e-05 gamma_shopping -4.025e-05 gamma_privBusiness -1.1461e-04 gamma_petrol 6.157e-05 gamma_leisure 3.7174e-04 gamma_vacation 3.6624e-04 gamma_exercise -1.2233e-04 gamma_home 1.1430e-04 gamma_travel 6.698e-05 gamma_other -0.011526 delta_dropOff_mu 7.8718e-04 delta_work_mu 8.367e-05 delta_school_mu -0.003487 delta_shopping_mu -4.036e-05 delta_privBusiness_mu 0.001118 delta_petrol_mu 0.003969 delta_leisure_mu 4.3843e-04 delta_vacation_mu 0.005337 delta_exercise_mu 6.3127e-04 delta_travel_mu -7.125e-05 delta_other_mu -0.087758 delta_dropOff_sigma 0.002203 delta_work_sigma 2.2153e-04 delta_school_sigma 0.002889 delta_shopping_sigma 1.2301e-04 delta_privBusiness_sigma -0.001451 delta_petrol_sigma 0.003903 delta_leisure_sigma -8.4200e-04 delta_vacation_sigma 0.003947 delta_exercise_sigma -3.1587e-04 delta_travel_sigma 0.001376 delta_other_sigma 0.107295 Robust covariance matrix: alpha_base gamma_dropOff alpha_base 0.003024 3.2874e-04 gamma_dropOff 3.2874e-04 0.002461 gamma_work -0.002475 -0.001007 gamma_school -0.003061 -8.8462e-04 gamma_shopping 1.0597e-04 1.0197e-04 gamma_privBusiness 2.2839e-04 5.620e-05 gamma_petrol 2.6760e-04 1.1968e-04 gamma_leisure 2.3236e-04 1.8738e-04 gamma_vacation 3.8996e-04 -3.0467e-04 gamma_exercise -2.0065e-04 9.0694e-04 gamma_home 0.010307 0.003001 gamma_travel 2.8899e-04 -6.636e-06 gamma_other 0.005052 0.002986 delta_dropOff_mu 0.002668 6.8794e-04 delta_work_mu 0.002324 8.2172e-04 delta_school_mu 0.004534 0.001266 delta_shopping_mu 0.003115 0.001272 delta_privBusiness_mu 0.003122 8.1710e-04 delta_petrol_mu 0.004383 0.003766 delta_leisure_mu 0.002771 0.001084 delta_vacation_mu 0.003127 8.4111e-04 delta_exercise_mu 0.002445 0.001198 delta_travel_mu 0.001410 0.001109 delta_other_mu 0.004187 4.3018e-04 delta_dropOff_sigma 0.001405 6.403e-05 delta_work_sigma -1.0005e-04 -1.3141e-04 delta_school_sigma -4.2809e-04 9.670e-05 delta_shopping_sigma -1.6416e-04 -9.050e-05 delta_privBusiness_sigma -5.0671e-04 -4.6717e-04 delta_petrol_sigma 9.6268e-04 0.002707 delta_leisure_sigma -4.162e-05 2.2453e-04 delta_vacation_sigma 1.9926e-04 -1.0031e-04 delta_exercise_sigma -1.0148e-04 2.7333e-04 delta_travel_sigma -2.9444e-04 -1.6436e-04 delta_other_sigma 0.001064 7.5860e-04 gamma_work gamma_school alpha_base -0.002475 -0.003061 gamma_dropOff -0.001007 -8.8462e-04 gamma_work 0.070856 0.015410 gamma_school 0.015410 0.135114 gamma_shopping -3.8390e-04 -3.1997e-04 gamma_privBusiness -3.0136e-04 5.0787e-04 gamma_petrol -6.7342e-04 -0.001873 gamma_leisure 0.002628 1.296e-05 gamma_vacation 0.003049 -0.001259 gamma_exercise -0.005087 -0.004019 gamma_home -0.015597 -0.024641 gamma_travel -3.8476e-04 -1.5510e-04 gamma_other -0.010451 0.002760 delta_dropOff_mu -1.6350e-04 -0.003709 delta_work_mu -0.007797 -0.008777 delta_school_mu -0.012787 0.005304 delta_shopping_mu -0.003648 -0.007173 delta_privBusiness_mu -0.005201 -0.007773 delta_petrol_mu -0.017204 -0.056470 delta_leisure_mu -0.003887 -0.007562 delta_vacation_mu -0.002878 -0.004905 delta_exercise_mu -0.001005 -0.008144 delta_travel_mu -0.003215 -0.007462 delta_other_mu 0.004242 0.001377 delta_dropOff_sigma -0.008069 -0.028032 delta_work_sigma 0.005731 4.2734e-04 delta_school_sigma -3.1108e-04 -0.014886 delta_shopping_sigma -0.001171 -0.001132 delta_privBusiness_sigma -0.001481 0.002882 delta_petrol_sigma -0.012364 -0.046409 delta_leisure_sigma -8.8005e-04 0.002642 delta_vacation_sigma -0.001493 0.001570 delta_exercise_sigma 8.4244e-04 -0.003182 delta_travel_sigma -6.3755e-04 -1.2179e-04 delta_other_sigma -0.010650 -0.010529 gamma_shopping gamma_privBusiness alpha_base 1.0597e-04 2.2839e-04 gamma_dropOff 1.0197e-04 5.620e-05 gamma_work -3.8390e-04 -3.0136e-04 gamma_school -3.1997e-04 5.0787e-04 gamma_shopping 8.6688e-04 7.706e-05 gamma_privBusiness 7.706e-05 0.003354 gamma_petrol 4.009e-05 2.941e-05 gamma_leisure 3.8565e-04 -1.4786e-04 gamma_vacation 4.9090e-04 0.001353 gamma_exercise 2.1637e-04 -6.2490e-04 gamma_home 0.001294 8.5577e-04 gamma_travel 6.473e-06 5.552e-05 gamma_other 0.002835 0.006695 delta_dropOff_mu -2.7491e-04 -5.7386e-04 delta_work_mu 4.2110e-04 -5.963e-05 delta_school_mu 0.001058 0.002172 delta_shopping_mu 2.2635e-04 -7.574e-05 delta_privBusiness_mu 3.4047e-04 4.575e-05 delta_petrol_mu 5.8644e-04 -7.9973e-04 delta_leisure_mu 3.3750e-04 5.987e-05 delta_vacation_mu 9.204e-05 -9.172e-05 delta_exercise_mu 2.4096e-04 1.8189e-04 delta_travel_mu 2.9261e-04 -1.2419e-04 delta_other_mu 6.4004e-04 0.002863 delta_dropOff_sigma 7.595e-05 4.7742e-04 delta_work_sigma 3.863e-05 -2.9083e-04 delta_school_sigma -2.4666e-04 -6.3244e-04 delta_shopping_sigma -3.9790e-04 2.8347e-04 delta_privBusiness_sigma 5.206e-05 3.9622e-04 delta_petrol_sigma 4.1717e-04 -9.5730e-04 delta_leisure_sigma 9.608e-05 -1.110e-05 delta_vacation_sigma -3.1212e-04 1.280e-06 delta_exercise_sigma -6.732e-05 -9.080e-05 delta_travel_sigma -1.7408e-04 -2.1829e-04 delta_other_sigma -6.6352e-04 -0.002603 gamma_petrol gamma_leisure alpha_base 2.6760e-04 2.3236e-04 gamma_dropOff 1.1968e-04 1.8738e-04 gamma_work -6.7342e-04 0.002628 gamma_school -0.001873 1.296e-05 gamma_shopping 4.009e-05 3.8565e-04 gamma_privBusiness 2.941e-05 -1.4786e-04 gamma_petrol 9.4456e-04 1.4786e-04 gamma_leisure 1.4786e-04 0.010726 gamma_vacation -2.201e-05 3.1906e-04 gamma_exercise 6.1905e-04 -2.8759e-04 gamma_home 0.002751 0.005584 gamma_travel -1.455e-05 -4.361e-05 gamma_other 0.001557 6.2398e-04 delta_dropOff_mu 1.3463e-04 0.001660 delta_work_mu 0.001130 0.001757 delta_school_mu 0.001352 2.0428e-04 delta_shopping_mu 6.9366e-04 0.001301 delta_privBusiness_mu 9.6278e-04 0.001039 delta_petrol_mu -0.001195 0.001444 delta_leisure_mu 8.3716e-04 5.5235e-04 delta_vacation_mu 7.1136e-04 -0.001724 delta_exercise_mu 8.9749e-04 0.001377 delta_travel_mu 0.001022 0.001639 delta_other_mu 0.002738 0.001801 delta_dropOff_sigma 0.002062 -0.001063 delta_work_sigma -4.785e-05 6.416e-05 delta_school_sigma 1.5902e-04 5.196e-05 delta_shopping_sigma 3.2570e-04 -4.0980e-04 delta_privBusiness_sigma 9.664e-05 -7.835e-05 delta_petrol_sigma -0.004125 0.001503 delta_leisure_sigma -2.731e-05 -0.001909 delta_vacation_sigma -4.400e-05 -0.001345 delta_exercise_sigma 7.023e-05 -2.5883e-04 delta_travel_sigma -8.138e-05 -4.7822e-04 delta_other_sigma -0.001739 8.9697e-04 gamma_vacation gamma_exercise alpha_base 3.8996e-04 -2.0065e-04 gamma_dropOff -3.0467e-04 9.0694e-04 gamma_work 0.003049 -0.005087 gamma_school -0.001259 -0.004019 gamma_shopping 4.9090e-04 2.1637e-04 gamma_privBusiness 0.001353 -6.2490e-04 gamma_petrol -2.201e-05 6.1905e-04 gamma_leisure 3.1906e-04 -2.8759e-04 gamma_vacation 0.178257 0.002239 gamma_exercise 0.002239 0.046170 gamma_home -0.004477 0.005283 gamma_travel 8.590e-05 8.359e-05 gamma_other 0.010728 -0.004318 delta_dropOff_mu -0.003319 -0.001143 delta_work_mu -0.002118 0.002142 delta_school_mu -0.012197 0.002610 delta_shopping_mu -0.002147 0.001632 delta_privBusiness_mu -0.002962 0.001497 delta_petrol_mu -0.004762 0.002977 delta_leisure_mu -0.003579 9.8376e-04 delta_vacation_mu -0.021102 0.003123 delta_exercise_mu -1.1632e-04 0.002700 delta_travel_mu -0.003193 0.001571 delta_other_mu 0.004507 0.002950 delta_dropOff_sigma 0.001457 0.002513 delta_work_sigma 6.9769e-04 -8.758e-05 delta_school_sigma -0.001655 0.002075 delta_shopping_sigma -9.825e-05 -7.2635e-04 delta_privBusiness_sigma 2.2011e-04 0.001445 delta_petrol_sigma -0.007223 0.001555 delta_leisure_sigma -6.6469e-04 6.7384e-04 delta_vacation_sigma -0.015854 2.6788e-04 delta_exercise_sigma 7.4438e-04 0.002856 delta_travel_sigma -0.001671 -6.2787e-04 delta_other_sigma -0.007451 -0.001270 gamma_home gamma_travel alpha_base 0.010307 2.8899e-04 gamma_dropOff 0.003001 -6.636e-06 gamma_work -0.015597 -3.8476e-04 gamma_school -0.024641 -1.5510e-04 gamma_shopping 0.001294 6.473e-06 gamma_privBusiness 8.5577e-04 5.552e-05 gamma_petrol 0.002751 -1.455e-05 gamma_leisure 0.005584 -4.361e-05 gamma_vacation -0.004477 8.590e-05 gamma_exercise 0.005283 8.359e-05 gamma_home 0.153422 3.8749e-04 gamma_travel 3.8749e-04 1.2828e-04 gamma_other 0.056737 7.4521e-04 delta_dropOff_mu 0.036550 -2.751e-05 delta_work_mu 0.046366 1.325e-05 delta_school_mu 0.063427 -1.1976e-04 delta_shopping_mu 0.048617 -5.449e-05 delta_privBusiness_mu 0.050506 -7.363e-05 delta_petrol_mu 0.092903 -4.0069e-04 delta_leisure_mu 0.049807 -3.562e-05 delta_vacation_mu 0.049088 3.6297e-04 delta_exercise_mu 0.045283 -2.103e-05 delta_travel_mu 0.046646 -5.4906e-04 delta_other_mu 0.049534 -9.251e-05 delta_dropOff_sigma 0.036648 -2.2855e-04 delta_work_sigma -0.001334 1.120e-05 delta_school_sigma 8.8731e-04 -5.370e-06 delta_shopping_sigma 5.8503e-04 8.891e-06 delta_privBusiness_sigma 9.6237e-04 1.603e-05 delta_petrol_sigma 0.041793 -3.3575e-04 delta_leisure_sigma 0.002082 -7.537e-06 delta_vacation_sigma 0.001136 1.2024e-04 delta_exercise_sigma -0.001698 2.040e-05 delta_travel_sigma -6.9299e-04 4.106e-05 delta_other_sigma 0.011558 4.4150e-04 gamma_other delta_dropOff_mu alpha_base 0.005052 0.002668 gamma_dropOff 0.002986 6.8794e-04 gamma_work -0.010451 -1.6350e-04 gamma_school 0.002760 -0.003709 gamma_shopping 0.002835 -2.7491e-04 gamma_privBusiness 0.006695 -5.7386e-04 gamma_petrol 0.001557 1.3463e-04 gamma_leisure 6.2398e-04 0.001660 gamma_vacation 0.010728 -0.003319 gamma_exercise -0.004318 -0.001143 gamma_home 0.056737 0.036550 gamma_travel 7.4521e-04 -2.751e-05 gamma_other 0.666776 0.012209 delta_dropOff_mu 0.012209 0.035770 delta_work_mu 0.016637 0.011792 delta_school_mu 0.027655 0.009117 delta_shopping_mu 0.014336 0.013210 delta_privBusiness_mu 0.020076 0.012698 delta_petrol_mu 0.019728 2.5275e-04 delta_leisure_mu 0.014014 0.013168 delta_vacation_mu 0.029116 0.010620 delta_exercise_mu 0.009117 0.012499 delta_travel_mu 0.012522 0.013184 delta_other_mu -0.012053 0.020698 delta_dropOff_sigma -0.001650 -0.018974 delta_work_sigma -0.001928 5.2137e-04 delta_school_sigma -0.002148 0.002795 delta_shopping_sigma 0.001354 5.1148e-04 delta_privBusiness_sigma 0.002231 -5.2765e-04 delta_petrol_sigma -0.006457 -0.015372 delta_leisure_sigma 8.6092e-04 6.1658e-04 delta_vacation_sigma 0.004285 0.001662 delta_exercise_sigma -0.005142 -2.4441e-04 delta_travel_sigma -6.1229e-04 0.003350 delta_other_sigma 0.047026 -0.003029 delta_work_mu delta_school_mu alpha_base 0.002324 0.004534 gamma_dropOff 8.2172e-04 0.001266 gamma_work -0.007797 -0.012787 gamma_school -0.008777 0.005304 gamma_shopping 4.2110e-04 0.001058 gamma_privBusiness -5.963e-05 0.002172 gamma_petrol 0.001130 0.001352 gamma_leisure 0.001757 2.0428e-04 gamma_vacation -0.002118 -0.012197 gamma_exercise 0.002142 0.002610 gamma_home 0.046366 0.063427 gamma_travel 1.325e-05 -1.1976e-04 gamma_other 0.016637 0.027655 delta_dropOff_mu 0.011792 0.009117 delta_work_mu 0.018393 0.016258 delta_school_mu 0.016258 0.206811 delta_shopping_mu 0.014855 0.017968 delta_privBusiness_mu 0.014723 0.021160 delta_petrol_mu 0.026072 0.032698 delta_leisure_mu 0.015669 0.019398 delta_vacation_mu 0.013472 0.020921 delta_exercise_mu 0.014320 0.018873 delta_travel_mu 0.016032 0.019905 delta_other_mu 0.018082 0.025421 delta_dropOff_sigma 0.011465 0.022430 delta_work_sigma 0.001647 -0.005182 delta_school_sigma 0.001595 -0.071372 delta_shopping_sigma 8.1766e-04 4.0121e-04 delta_privBusiness_sigma -6.764e-06 2.2985e-04 delta_petrol_sigma 0.008010 0.012340 delta_leisure_sigma 6.4307e-04 0.002442 delta_vacation_sigma 1.8423e-04 -2.8966e-04 delta_exercise_sigma -5.5096e-04 2.6699e-04 delta_travel_sigma 0.001060 -3.2937e-04 delta_other_sigma 0.002045 -0.007894 delta_shopping_mu delta_privBusiness_mu alpha_base 0.003115 0.003122 gamma_dropOff 0.001272 8.1710e-04 gamma_work -0.003648 -0.005201 gamma_school -0.007173 -0.007773 gamma_shopping 2.2635e-04 3.4047e-04 gamma_privBusiness -7.574e-05 4.575e-05 gamma_petrol 6.9366e-04 9.6278e-04 gamma_leisure 0.001301 0.001039 gamma_vacation -0.002147 -0.002962 gamma_exercise 0.001632 0.001497 gamma_home 0.048617 0.050506 gamma_travel -5.449e-05 -7.363e-05 gamma_other 0.014336 0.020076 delta_dropOff_mu 0.013210 0.012698 delta_work_mu 0.014855 0.014723 delta_school_mu 0.017968 0.021160 delta_shopping_mu 0.018749 0.016729 delta_privBusiness_mu 0.016729 0.022639 delta_petrol_mu 0.031578 0.036206 delta_leisure_mu 0.016989 0.017436 delta_vacation_mu 0.016651 0.015672 delta_exercise_mu 0.015499 0.015676 delta_travel_mu 0.016494 0.017127 delta_other_mu 0.017257 0.015079 delta_dropOff_sigma 0.010677 0.014265 delta_work_sigma -1.6780e-04 -0.001090 delta_school_sigma 0.001147 0.001705 delta_shopping_sigma -0.001012 -1.3241e-04 delta_privBusiness_sigma 1.9714e-04 0.002555 delta_petrol_sigma 0.013890 0.018615 delta_leisure_sigma 2.5414e-04 8.3790e-04 delta_vacation_sigma 5.7809e-04 -5.6657e-04 delta_exercise_sigma -4.1454e-04 -3.9894e-04 delta_travel_sigma 3.8143e-04 2.6033e-04 delta_other_sigma 0.002963 0.007240 delta_petrol_mu delta_leisure_mu alpha_base 0.004383 0.002771 gamma_dropOff 0.003766 0.001084 gamma_work -0.017204 -0.003887 gamma_school -0.056470 -0.007562 gamma_shopping 5.8644e-04 3.3750e-04 gamma_privBusiness -7.9973e-04 5.987e-05 gamma_petrol -0.001195 8.3716e-04 gamma_leisure 0.001444 5.5235e-04 gamma_vacation -0.004762 -0.003579 gamma_exercise 0.002977 9.8376e-04 gamma_home 0.092903 0.049807 gamma_travel -4.0069e-04 -3.562e-05 gamma_other 0.019728 0.014014 delta_dropOff_mu 2.5275e-04 0.013168 delta_work_mu 0.026072 0.015669 delta_school_mu 0.032698 0.019398 delta_shopping_mu 0.031578 0.016989 delta_privBusiness_mu 0.036206 0.017436 delta_petrol_mu 0.334569 0.032458 delta_leisure_mu 0.032458 0.019631 delta_vacation_mu 0.026502 0.019337 delta_exercise_mu 0.019077 0.015636 delta_travel_mu 0.032659 0.017175 delta_other_mu -0.035233 0.016099 delta_dropOff_sigma 0.088259 0.012046 delta_work_sigma -0.003046 -7.069e-05 delta_school_sigma 0.016569 0.001739 delta_shopping_sigma -0.003765 1.5882e-04 delta_privBusiness_sigma -0.001523 1.2136e-04 delta_petrol_sigma 0.318033 0.014527 delta_leisure_sigma -5.6308e-04 -2.8381e-04 delta_vacation_sigma -0.005626 6.2774e-04 delta_exercise_sigma -0.005098 -6.2065e-04 delta_travel_sigma -0.005425 9.2301e-04 delta_other_sigma 0.070641 0.004912 delta_vacation_mu delta_exercise_mu alpha_base 0.003127 0.002445 gamma_dropOff 8.4111e-04 0.001198 gamma_work -0.002878 -0.001005 gamma_school -0.004905 -0.008144 gamma_shopping 9.204e-05 2.4096e-04 gamma_privBusiness -9.172e-05 1.8189e-04 gamma_petrol 7.1136e-04 8.9749e-04 gamma_leisure -0.001724 0.001377 gamma_vacation -0.021102 -1.1632e-04 gamma_exercise 0.003123 0.002700 gamma_home 0.049088 0.045283 gamma_travel 3.6297e-04 -2.103e-05 gamma_other 0.029116 0.009117 delta_dropOff_mu 0.010620 0.012499 delta_work_mu 0.013472 0.014320 delta_school_mu 0.020921 0.018873 delta_shopping_mu 0.016651 0.015499 delta_privBusiness_mu 0.015672 0.015676 delta_petrol_mu 0.026502 0.019077 delta_leisure_mu 0.019337 0.015636 delta_vacation_mu 0.149371 0.011449 delta_exercise_mu 0.011449 0.031954 delta_travel_mu 0.015370 0.016135 delta_other_mu 0.012103 0.018154 delta_dropOff_sigma 0.010642 0.011127 delta_work_sigma -3.2114e-04 5.6955e-04 delta_school_sigma 0.003309 0.002152 delta_shopping_sigma 7.5889e-04 0.001301 delta_privBusiness_sigma -5.321e-05 5.9918e-04 delta_petrol_sigma 0.011248 7.0188e-04 delta_leisure_sigma 0.001571 3.2151e-04 delta_vacation_sigma 0.045916 -0.001320 delta_exercise_sigma -0.001248 0.007796 delta_travel_sigma 0.003052 0.002897 delta_other_sigma 0.010062 0.001807 delta_travel_mu delta_other_mu alpha_base 0.001410 0.004187 gamma_dropOff 0.001109 4.3018e-04 gamma_work -0.003215 0.004242 gamma_school -0.007462 0.001377 gamma_shopping 2.9261e-04 6.4004e-04 gamma_privBusiness -1.2419e-04 0.002863 gamma_petrol 0.001022 0.002738 gamma_leisure 0.001639 0.001801 gamma_vacation -0.003193 0.004507 gamma_exercise 0.001571 0.002950 gamma_home 0.046646 0.049534 gamma_travel -5.4906e-04 -9.251e-05 gamma_other 0.012522 -0.012053 delta_dropOff_mu 0.013184 0.020698 delta_work_mu 0.016032 0.018082 delta_school_mu 0.019905 0.025421 delta_shopping_mu 0.016494 0.017257 delta_privBusiness_mu 0.017127 0.015079 delta_petrol_mu 0.032659 -0.035233 delta_leisure_mu 0.017175 0.016099 delta_vacation_mu 0.015370 0.012103 delta_exercise_mu 0.016135 0.018154 delta_travel_mu 0.019393 0.017731 delta_other_mu 0.017731 0.144082 delta_dropOff_sigma 0.013120 -0.007105 delta_work_sigma 1.8611e-04 0.001432 delta_school_sigma 0.001495 -0.004886 delta_shopping_sigma 4.3076e-04 -1.5621e-04 delta_privBusiness_sigma 3.616e-05 0.007550 delta_petrol_sigma 0.014517 -0.069617 delta_leisure_sigma 6.5348e-04 0.001546 delta_vacation_sigma -5.562e-05 -0.001064 delta_exercise_sigma -3.8136e-04 0.001943 delta_travel_sigma 0.001041 -0.001711 delta_other_sigma 0.001696 -0.124060 delta_dropOff_sigma delta_work_sigma alpha_base 0.001405 -1.0005e-04 gamma_dropOff 6.403e-05 -1.3141e-04 gamma_work -0.008069 0.005731 gamma_school -0.028032 4.2734e-04 gamma_shopping 7.595e-05 3.863e-05 gamma_privBusiness 4.7742e-04 -2.9083e-04 gamma_petrol 0.002062 -4.785e-05 gamma_leisure -0.001063 6.416e-05 gamma_vacation 0.001457 6.9769e-04 gamma_exercise 0.002513 -8.758e-05 gamma_home 0.036648 -0.001334 gamma_travel -2.2855e-04 1.120e-05 gamma_other -0.001650 -0.001928 delta_dropOff_mu -0.018974 5.2137e-04 delta_work_mu 0.011465 0.001647 delta_school_mu 0.022430 -0.005182 delta_shopping_mu 0.010677 -1.6780e-04 delta_privBusiness_mu 0.014265 -0.001090 delta_petrol_mu 0.088259 -0.003046 delta_leisure_mu 0.012046 -7.069e-05 delta_vacation_mu 0.010642 -3.2114e-04 delta_exercise_mu 0.011127 5.6955e-04 delta_travel_mu 0.013120 1.8611e-04 delta_other_mu -0.007105 0.001432 delta_dropOff_sigma 0.066880 -0.001269 delta_work_sigma -0.001269 0.003563 delta_school_sigma 0.002827 0.001503 delta_shopping_sigma 7.7729e-04 2.2454e-04 delta_privBusiness_sigma 9.777e-05 -8.0956e-04 delta_petrol_sigma 0.075640 -0.003285 delta_leisure_sigma -3.5970e-04 1.1845e-04 delta_vacation_sigma -0.002375 3.6470e-04 delta_exercise_sigma 3.1461e-04 2.7349e-04 delta_travel_sigma -0.003403 0.001019 delta_other_sigma 0.020246 -5.0433e-04 delta_school_sigma delta_shopping_sigma alpha_base -4.2809e-04 -1.6416e-04 gamma_dropOff 9.670e-05 -9.050e-05 gamma_work -3.1108e-04 -0.001171 gamma_school -0.014886 -0.001132 gamma_shopping -2.4666e-04 -3.9790e-04 gamma_privBusiness -6.3244e-04 2.8347e-04 gamma_petrol 1.5902e-04 3.2570e-04 gamma_leisure 5.196e-05 -4.0980e-04 gamma_vacation -0.001655 -9.825e-05 gamma_exercise 0.002075 -7.2635e-04 gamma_home 8.8731e-04 5.8503e-04 gamma_travel -5.370e-06 8.891e-06 gamma_other -0.002148 0.001354 delta_dropOff_mu 0.002795 5.1148e-04 delta_work_mu 0.001595 8.1766e-04 delta_school_mu -0.071372 4.0121e-04 delta_shopping_mu 0.001147 -0.001012 delta_privBusiness_mu 0.001705 -1.3241e-04 delta_petrol_mu 0.016569 -0.003765 delta_leisure_mu 0.001739 1.5882e-04 delta_vacation_mu 0.003309 7.5889e-04 delta_exercise_mu 0.002152 0.001301 delta_travel_mu 0.001495 4.3076e-04 delta_other_mu -0.004886 -1.5621e-04 delta_dropOff_sigma 0.002827 7.7729e-04 delta_work_sigma 0.001503 2.2454e-04 delta_school_sigma 0.038442 3.6592e-04 delta_shopping_sigma 3.6592e-04 0.003766 delta_privBusiness_sigma 7.1027e-04 -9.653e-05 delta_petrol_sigma 0.016554 -0.005365 delta_leisure_sigma -7.0082e-04 3.1165e-04 delta_vacation_sigma 0.001621 2.6554e-04 delta_exercise_sigma 0.001404 9.1527e-04 delta_travel_sigma 0.001083 7.4942e-04 delta_other_sigma 0.009132 6.3544e-04 delta_privBusiness_sigma delta_petrol_sigma alpha_base -5.0671e-04 9.6268e-04 gamma_dropOff -4.6717e-04 0.002707 gamma_work -0.001481 -0.012364 gamma_school 0.002882 -0.046409 gamma_shopping 5.206e-05 4.1717e-04 gamma_privBusiness 3.9622e-04 -9.5730e-04 gamma_petrol 9.664e-05 -0.004125 gamma_leisure -7.835e-05 0.001503 gamma_vacation 2.2011e-04 -0.007223 gamma_exercise 0.001445 0.001555 gamma_home 9.6237e-04 0.041793 gamma_travel 1.603e-05 -3.3575e-04 gamma_other 0.002231 -0.006457 delta_dropOff_mu -5.2765e-04 -0.015372 delta_work_mu -6.764e-06 0.008010 delta_school_mu 2.2985e-04 0.012340 delta_shopping_mu 1.9714e-04 0.013890 delta_privBusiness_mu 0.002555 0.018615 delta_petrol_mu -0.001523 0.318033 delta_leisure_mu 1.2136e-04 0.014527 delta_vacation_mu -5.321e-05 0.011248 delta_exercise_mu 5.9918e-04 7.0188e-04 delta_travel_mu 3.616e-05 0.014517 delta_other_mu 0.007550 -0.069617 delta_dropOff_sigma 9.777e-05 0.075640 delta_work_sigma -8.0956e-04 -0.003285 delta_school_sigma 7.1027e-04 0.016554 delta_shopping_sigma -9.653e-05 -0.005365 delta_privBusiness_sigma 0.009059 -0.002091 delta_petrol_sigma -0.002091 0.349997 delta_leisure_sigma -1.4215e-04 -7.0012e-04 delta_vacation_sigma -4.3894e-04 -0.006185 delta_exercise_sigma -4.6909e-04 -0.005693 delta_travel_sigma -4.0092e-04 -0.006916 delta_other_sigma -0.008225 0.082822 delta_leisure_sigma delta_vacation_sigma alpha_base -4.162e-05 1.9926e-04 gamma_dropOff 2.2453e-04 -1.0031e-04 gamma_work -8.8005e-04 -0.001493 gamma_school 0.002642 0.001570 gamma_shopping 9.608e-05 -3.1212e-04 gamma_privBusiness -1.110e-05 1.280e-06 gamma_petrol -2.731e-05 -4.400e-05 gamma_leisure -0.001909 -0.001345 gamma_vacation -6.6469e-04 -0.015854 gamma_exercise 6.7384e-04 2.6788e-04 gamma_home 0.002082 0.001136 gamma_travel -7.537e-06 1.2024e-04 gamma_other 8.6092e-04 0.004285 delta_dropOff_mu 6.1658e-04 0.001662 delta_work_mu 6.4307e-04 1.8423e-04 delta_school_mu 0.002442 -2.8966e-04 delta_shopping_mu 2.5414e-04 5.7809e-04 delta_privBusiness_mu 8.3790e-04 -5.6657e-04 delta_petrol_mu -5.6308e-04 -0.005626 delta_leisure_mu -2.8381e-04 6.2774e-04 delta_vacation_mu 0.001571 0.045916 delta_exercise_mu 3.2151e-04 -0.001320 delta_travel_mu 6.5348e-04 -5.562e-05 delta_other_mu 0.001546 -0.001064 delta_dropOff_sigma -3.5970e-04 -0.002375 delta_work_sigma 1.1845e-04 3.6470e-04 delta_school_sigma -7.0082e-04 0.001621 delta_shopping_sigma 3.1165e-04 2.6554e-04 delta_privBusiness_sigma -1.4215e-04 -4.3894e-04 delta_petrol_sigma -7.0012e-04 -0.006185 delta_leisure_sigma 0.003892 9.7877e-04 delta_vacation_sigma 9.7877e-04 0.025191 delta_exercise_sigma 1.1743e-04 -4.0784e-04 delta_travel_sigma -8.5310e-04 0.001234 delta_other_sigma -0.001949 0.003322 delta_exercise_sigma delta_travel_sigma alpha_base -1.0148e-04 -2.9444e-04 gamma_dropOff 2.7333e-04 -1.6436e-04 gamma_work 8.4244e-04 -6.3755e-04 gamma_school -0.003182 -1.2179e-04 gamma_shopping -6.732e-05 -1.7408e-04 gamma_privBusiness -9.080e-05 -2.1829e-04 gamma_petrol 7.023e-05 -8.138e-05 gamma_leisure -2.5883e-04 -4.7822e-04 gamma_vacation 7.4438e-04 -0.001671 gamma_exercise 0.002856 -6.2787e-04 gamma_home -0.001698 -6.9299e-04 gamma_travel 2.040e-05 4.106e-05 gamma_other -0.005142 -6.1229e-04 delta_dropOff_mu -2.4441e-04 0.003350 delta_work_mu -5.5096e-04 0.001060 delta_school_mu 2.6699e-04 -3.2937e-04 delta_shopping_mu -4.1454e-04 3.8143e-04 delta_privBusiness_mu -3.9894e-04 2.6033e-04 delta_petrol_mu -0.005098 -0.005425 delta_leisure_mu -6.2065e-04 9.2301e-04 delta_vacation_mu -0.001248 0.003052 delta_exercise_mu 0.007796 0.002897 delta_travel_mu -3.8136e-04 0.001041 delta_other_mu 0.001943 -0.001711 delta_dropOff_sigma 3.1461e-04 -0.003403 delta_work_sigma 2.7349e-04 0.001019 delta_school_sigma 0.001404 0.001083 delta_shopping_sigma 9.1527e-04 7.4942e-04 delta_privBusiness_sigma -4.6909e-04 -4.0092e-04 delta_petrol_sigma -0.005693 -0.006916 delta_leisure_sigma 1.1743e-04 -8.5310e-04 delta_vacation_sigma -4.0784e-04 0.001234 delta_exercise_sigma 0.008478 0.001751 delta_travel_sigma 0.001751 0.006377 delta_other_sigma -0.001792 0.003962 delta_other_sigma alpha_base 0.001064 gamma_dropOff 7.5860e-04 gamma_work -0.010650 gamma_school -0.010529 gamma_shopping -6.6352e-04 gamma_privBusiness -0.002603 gamma_petrol -0.001739 gamma_leisure 8.9697e-04 gamma_vacation -0.007451 gamma_exercise -0.001270 gamma_home 0.011558 gamma_travel 4.4150e-04 gamma_other 0.047026 delta_dropOff_mu -0.003029 delta_work_mu 0.002045 delta_school_mu -0.007894 delta_shopping_mu 0.002963 delta_privBusiness_mu 0.007240 delta_petrol_mu 0.070641 delta_leisure_mu 0.004912 delta_vacation_mu 0.010062 delta_exercise_mu 0.001807 delta_travel_mu 0.001696 delta_other_mu -0.124060 delta_dropOff_sigma 0.020246 delta_work_sigma -5.0433e-04 delta_school_sigma 0.009132 delta_shopping_sigma 6.3544e-04 delta_privBusiness_sigma -0.008225 delta_petrol_sigma 0.082822 delta_leisure_sigma -0.001949 delta_vacation_sigma 0.003322 delta_exercise_sigma -0.001792 delta_travel_sigma 0.003962 delta_other_sigma 0.155503 Classical correlation matrix: alpha_base gamma_dropOff alpha_base 1.000000 -0.005546 gamma_dropOff -0.005546 1.000000 gamma_work -0.006205 -1.6389e-04 gamma_school -0.002002 -0.001987 gamma_shopping -0.007138 -0.001024 gamma_privBusiness -0.006234 3.0503e-04 gamma_petrol -0.002052 1.2947e-04 gamma_leisure -0.006869 -2.5366e-04 gamma_vacation -0.001050 1.4093e-04 gamma_exercise -0.004815 -0.001596 gamma_home -0.006446 -0.002465 gamma_travel -0.008090 0.007481 gamma_other -0.002240 -1.7742e-04 delta_dropOff_mu 4.4405e-04 0.041355 delta_work_mu 4.2668e-04 3.9190e-04 delta_school_mu -3.345e-06 -0.007139 delta_shopping_mu 3.4523e-04 -0.002969 delta_privBusiness_mu 3.4283e-04 -0.002350 delta_petrol_mu -4.432e-05 -8.7808e-04 delta_leisure_mu 4.1588e-04 -0.002584 delta_vacation_mu 2.2368e-04 0.001825 delta_exercise_mu 4.8635e-04 -0.005618 delta_travel_mu -0.001344 -0.007176 delta_other_mu -1.5299e-04 -2.3574e-04 delta_dropOff_sigma -3.5621e-04 -0.211562 delta_work_sigma 7.3344e-04 0.003689 delta_school_sigma 1.3817e-04 0.007226 delta_shopping_sigma 2.0541e-04 0.003315 delta_privBusiness_sigma -3.927e-05 0.002394 delta_petrol_sigma -1.9684e-04 -3.5936e-04 delta_leisure_sigma -3.1311e-04 7.3555e-04 delta_vacation_sigma 1.0922e-04 0.001605 delta_exercise_sigma 5.7435e-04 -0.003518 delta_travel_sigma 0.003653 0.009157 delta_other_sigma 3.0313e-04 6.7748e-04 gamma_work gamma_school alpha_base -0.006205 -0.002002 gamma_dropOff -1.6389e-04 -0.001987 gamma_work 1.000000 -0.003362 gamma_school -0.003362 1.000000 gamma_shopping -0.005373 -2.1356e-04 gamma_privBusiness -0.005396 -7.1171e-04 gamma_petrol -0.001605 -6.782e-05 gamma_leisure -0.012757 -0.002043 gamma_vacation 9.691e-06 -4.3008e-04 gamma_exercise -0.008215 -0.001592 gamma_home -0.078153 -0.005739 gamma_travel 0.012877 -4.6958e-04 gamma_other -0.003282 -3.1572e-04 delta_dropOff_mu -0.036183 -0.003240 delta_work_mu -0.154030 -0.002264 delta_school_mu -0.025266 0.106390 delta_shopping_mu -0.067664 -0.003789 delta_privBusiness_mu -0.059991 -0.010474 delta_petrol_mu -0.029540 -0.001584 delta_leisure_mu -0.063321 -0.005535 delta_vacation_mu -0.013406 -0.008686 delta_exercise_mu -0.037049 -0.003768 delta_travel_mu -0.072625 -0.004874 delta_other_mu -0.015849 -0.001193 delta_dropOff_sigma 0.003057 -9.284e-05 delta_work_sigma 0.270990 -0.006072 delta_school_sigma 0.009915 -0.183969 delta_shopping_sigma 0.017236 -7.0812e-04 delta_privBusiness_sigma -0.017147 -0.004265 delta_petrol_sigma -0.011007 -2.6478e-04 delta_leisure_sigma 0.019135 0.001817 delta_vacation_sigma -0.001195 -0.009122 delta_exercise_sigma -0.005821 -0.001345 delta_travel_sigma -0.001621 -0.009293 delta_other_sigma -0.003087 -2.2741e-04 gamma_shopping gamma_privBusiness alpha_base -0.007138 -0.006234 gamma_dropOff -0.001024 3.0503e-04 gamma_work -0.005373 -0.005396 gamma_school -2.1356e-04 -7.1171e-04 gamma_shopping 1.000000 -7.530e-05 gamma_privBusiness -7.530e-05 1.000000 gamma_petrol 4.2432e-04 -9.2233e-04 gamma_leisure -0.001970 -0.001042 gamma_vacation -0.001016 -6.879e-05 gamma_exercise -0.002127 -0.001819 gamma_home -0.002278 -0.004891 gamma_travel -2.455e-05 0.002507 gamma_other 3.1707e-04 1.8207e-04 delta_dropOff_mu -0.007070 -0.003158 delta_work_mu -6.7953e-04 -0.004070 delta_school_mu -0.001036 -0.002322 delta_shopping_mu -0.050910 -0.004995 delta_privBusiness_mu -0.003661 -0.022359 delta_petrol_mu 0.003758 -0.006127 delta_leisure_mu -0.001908 -0.004344 delta_vacation_mu -0.002604 -0.001763 delta_exercise_mu -0.006105 -0.004176 delta_travel_mu -0.003078 -0.006636 delta_other_mu 0.003331 0.006140 delta_dropOff_sigma -0.006554 -1.4927e-04 delta_work_sigma -0.007139 -0.009164 delta_school_sigma -0.001385 0.002101 delta_shopping_sigma -0.176052 0.003016 delta_privBusiness_sigma -0.003834 0.162398 delta_petrol_sigma 0.005897 -0.005031 delta_leisure_sigma 0.004910 -0.001239 delta_vacation_sigma 7.7719e-04 -3.5641e-04 delta_exercise_sigma -0.007774 -0.005142 delta_travel_sigma -0.019357 -0.010038 delta_other_sigma -0.004793 -0.007801 gamma_petrol gamma_leisure alpha_base -0.002052 -0.006869 gamma_dropOff 1.2947e-04 -2.5366e-04 gamma_work -0.001605 -0.012757 gamma_school -6.782e-05 -0.002043 gamma_shopping 4.2432e-04 -0.001970 gamma_privBusiness -9.2233e-04 -0.001042 gamma_petrol 1.000000 5.0392e-04 gamma_leisure 5.0392e-04 1.000000 gamma_vacation -1.1463e-04 -0.001074 gamma_exercise -3.9900e-04 -0.002970 gamma_home -0.001944 -0.018446 gamma_travel -7.8548e-04 0.009239 gamma_other -5.6153e-04 -0.001826 delta_dropOff_mu -0.003769 -0.013503 delta_work_mu -0.002451 -0.011530 delta_school_mu -0.001672 -0.009099 delta_shopping_mu -0.001074 -0.015461 delta_privBusiness_mu -0.001700 -0.012564 delta_petrol_mu 0.062346 -0.003614 delta_leisure_mu -5.0089e-04 -0.074706 delta_vacation_mu -0.001381 -0.007516 delta_exercise_mu -0.005923 -0.009127 delta_travel_mu -9.2743e-04 -0.020948 delta_other_mu -0.008136 -0.012872 delta_dropOff_sigma 0.005117 0.004666 delta_work_sigma -0.003686 -0.009908 delta_school_sigma 0.002518 0.003928 delta_shopping_sigma -0.003327 0.002993 delta_privBusiness_sigma -0.004289 9.0412e-04 delta_petrol_sigma 0.090936 0.002684 delta_leisure_sigma -0.001281 -0.216910 delta_vacation_sigma -0.001821 -0.005947 delta_exercise_sigma -0.003997 -0.002225 delta_travel_sigma -0.003491 0.010058 delta_other_sigma 0.007841 0.010992 gamma_vacation gamma_exercise alpha_base -0.001050 -0.004815 gamma_dropOff 1.4093e-04 -0.001596 gamma_work 9.691e-06 -0.008215 gamma_school -4.3008e-04 -0.001592 gamma_shopping -0.001016 -0.002127 gamma_privBusiness -6.879e-05 -0.001819 gamma_petrol -1.1463e-04 -3.9900e-04 gamma_leisure -0.001074 -0.002970 gamma_vacation 1.000000 -3.386e-06 gamma_exercise -3.386e-06 1.000000 gamma_home -0.002839 -0.018123 gamma_travel 8.9160e-04 0.004519 gamma_other -7.7965e-04 -1.9153e-04 delta_dropOff_mu -0.001601 -0.012599 delta_work_mu -0.002054 -0.013284 delta_school_mu -0.002928 -0.003365 delta_shopping_mu -0.002648 -0.015784 delta_privBusiness_mu -0.001959 -0.014910 delta_petrol_mu -0.001966 -0.010615 delta_leisure_mu -0.002575 -0.016680 delta_vacation_mu 0.027199 -0.003637 delta_exercise_mu -0.001103 0.032608 delta_travel_mu -0.002674 -0.018367 delta_other_mu -0.002310 -0.002491 delta_dropOff_sigma -2.3883e-04 0.003458 delta_work_sigma 0.001179 -0.004402 delta_school_sigma 0.002488 0.002456 delta_shopping_sigma 0.004390 0.006661 delta_privBusiness_sigma 3.0106e-04 -0.005983 delta_petrol_sigma -0.001443 -0.007031 delta_leisure_sigma 6.6582e-04 0.004160 delta_vacation_sigma 0.040700 -0.002179 delta_exercise_sigma 4.7312e-04 0.230078 delta_travel_sigma 0.002884 -4.8557e-04 delta_other_sigma 0.001934 -0.001937 gamma_home gamma_travel alpha_base -0.006446 -0.008090 gamma_dropOff -0.002465 0.007481 gamma_work -0.078153 0.012877 gamma_school -0.005739 -4.6958e-04 gamma_shopping -0.002278 -2.455e-05 gamma_privBusiness -0.004891 0.002507 gamma_petrol -0.001944 -7.8548e-04 gamma_leisure -0.018446 0.009239 gamma_vacation -0.002839 8.9160e-04 gamma_exercise -0.018123 0.004519 gamma_home 1.000000 0.014575 gamma_travel 0.014575 1.000000 gamma_other -0.005495 -0.001668 delta_dropOff_mu 0.464950 0.017220 delta_work_mu 0.800010 0.013462 delta_school_mu 0.168715 -0.009657 delta_shopping_mu 0.816301 0.004286 delta_privBusiness_mu 0.702856 0.008202 delta_petrol_mu 0.227000 -0.008211 delta_leisure_mu 0.823011 0.009875 delta_vacation_mu 0.161191 0.014689 delta_exercise_mu 0.522889 0.017630 delta_travel_mu 0.802757 -0.464019 delta_other_mu 0.228413 -0.013999 delta_dropOff_sigma -0.009245 -0.016269 delta_work_sigma -0.007226 0.029512 delta_school_sigma -0.004265 0.020729 delta_shopping_sigma -0.001106 0.016334 delta_privBusiness_sigma 0.002909 0.004211 delta_petrol_sigma -0.018510 -0.014356 delta_leisure_sigma -0.013898 -0.017654 delta_vacation_sigma 0.001470 0.010408 delta_exercise_sigma 0.030619 0.026162 delta_travel_sigma 0.076887 0.295833 delta_other_sigma 0.001478 0.018880 gamma_other delta_dropOff_mu alpha_base -0.002240 4.4405e-04 gamma_dropOff -1.7742e-04 0.041355 gamma_work -0.003282 -0.036183 gamma_school -3.1572e-04 -0.003240 gamma_shopping 3.1707e-04 -0.007070 gamma_privBusiness 1.8207e-04 -0.003158 gamma_petrol -5.6153e-04 -0.003769 gamma_leisure -0.001826 -0.013503 gamma_vacation -7.7965e-04 -0.001601 gamma_exercise -1.9153e-04 -0.012599 gamma_home -0.005495 0.464950 gamma_travel -0.001668 0.017220 gamma_other 1.000000 -0.003648 delta_dropOff_mu -0.003648 1.000000 delta_work_mu -0.004126 0.410908 delta_school_mu 9.0012e-04 0.080788 delta_shopping_mu -0.004458 0.401896 delta_privBusiness_mu -0.006645 0.356698 delta_petrol_mu -0.004372 0.082785 delta_leisure_mu -0.005311 0.406829 delta_vacation_mu -0.003489 0.074943 delta_exercise_mu -0.003546 0.253198 delta_travel_mu -0.004159 0.400273 delta_other_mu 0.050393 0.104625 delta_dropOff_sigma -0.003312 -0.569085 delta_work_sigma -0.001406 0.013195 delta_school_sigma -0.002717 0.028826 delta_shopping_sigma -9.0169e-04 0.030677 delta_privBusiness_sigma 0.003858 -0.006395 delta_petrol_sigma -0.003100 -0.044404 delta_leisure_sigma 0.003186 0.003692 delta_vacation_sigma -0.002925 -0.002159 delta_exercise_sigma 8.5601e-04 0.014663 delta_travel_sigma -0.005814 0.079393 delta_other_sigma -0.070243 0.015431 delta_work_mu delta_school_mu alpha_base 4.2668e-04 -3.345e-06 gamma_dropOff 3.9190e-04 -0.007139 gamma_work -0.154030 -0.025266 gamma_school -0.002264 0.106390 gamma_shopping -6.7953e-04 -0.001036 gamma_privBusiness -0.004070 -0.002322 gamma_petrol -0.002451 -0.001672 gamma_leisure -0.011530 -0.009099 gamma_vacation -0.002054 -0.002928 gamma_exercise -0.013284 -0.003365 gamma_home 0.800010 0.168715 gamma_travel 0.013462 -0.009657 gamma_other -0.004126 9.0012e-04 delta_dropOff_mu 0.410908 0.080788 delta_work_mu 1.000000 0.154581 delta_school_mu 0.154581 1.000000 delta_shopping_mu 0.701263 0.138645 delta_privBusiness_mu 0.599928 0.098440 delta_petrol_mu 0.185458 0.027750 delta_leisure_mu 0.706100 0.142548 delta_vacation_mu 0.140820 -0.005993 delta_exercise_mu 0.455556 0.092610 delta_travel_mu 0.692606 0.149390 delta_other_mu 0.196020 0.062676 delta_dropOff_sigma -0.019723 0.010667 delta_work_sigma 0.144342 -0.025843 delta_school_sigma -0.009916 -0.875325 delta_shopping_sigma 0.007082 0.003104 delta_privBusiness_sigma -5.4251e-04 -0.023301 delta_petrol_sigma -0.023301 -0.017242 delta_leisure_sigma -0.015133 0.012425 delta_vacation_sigma 0.005391 -0.037552 delta_exercise_sigma 0.022548 0.011447 delta_travel_sigma 0.100609 -0.019786 delta_other_sigma 0.002800 -0.024585 delta_shopping_mu delta_privBusiness_mu alpha_base 3.4523e-04 3.4283e-04 gamma_dropOff -0.002969 -0.002350 gamma_work -0.067664 -0.059991 gamma_school -0.003789 -0.010474 gamma_shopping -0.050910 -0.003661 gamma_privBusiness -0.004995 -0.022359 gamma_petrol -0.001074 -0.001700 gamma_leisure -0.015461 -0.012564 gamma_vacation -0.002648 -0.001959 gamma_exercise -0.015784 -0.014910 gamma_home 0.816301 0.702856 gamma_travel 0.004286 0.008202 gamma_other -0.004458 -0.006645 delta_dropOff_mu 0.401896 0.356698 delta_work_mu 0.701263 0.599928 delta_school_mu 0.138645 0.098440 delta_shopping_mu 1.000000 0.613737 delta_privBusiness_mu 0.613737 1.000000 delta_petrol_mu 0.209329 0.163887 delta_leisure_mu 0.723078 0.620261 delta_vacation_mu 0.138135 0.117580 delta_exercise_mu 0.458761 0.385555 delta_travel_mu 0.709314 0.609997 delta_other_mu 0.200226 0.143581 delta_dropOff_sigma -0.021987 0.002236 delta_work_sigma -0.018397 -0.016256 delta_school_sigma -0.005405 0.035726 delta_shopping_sigma -0.169685 0.010600 delta_privBusiness_sigma -0.001957 0.281837 delta_petrol_sigma -0.004642 -0.021888 delta_leisure_sigma -0.013646 -0.010977 delta_vacation_sigma -0.004275 -0.005034 delta_exercise_sigma 0.017890 0.023861 delta_travel_sigma 0.060609 0.055457 delta_other_sigma -0.001393 0.033226 delta_petrol_mu delta_leisure_mu alpha_base -4.432e-05 4.1588e-04 gamma_dropOff -8.7808e-04 -0.002584 gamma_work -0.029540 -0.063321 gamma_school -0.001584 -0.005535 gamma_shopping 0.003758 -0.001908 gamma_privBusiness -0.006127 -0.004344 gamma_petrol 0.062346 -5.0089e-04 gamma_leisure -0.003614 -0.074706 gamma_vacation -0.001966 -0.002575 gamma_exercise -0.010615 -0.016680 gamma_home 0.227000 0.823011 gamma_travel -0.008211 0.009875 gamma_other -0.004372 -0.005311 delta_dropOff_mu 0.082785 0.406829 delta_work_mu 0.185458 0.706100 delta_school_mu 0.027750 0.142548 delta_shopping_mu 0.209329 0.723078 delta_privBusiness_mu 0.163887 0.620261 delta_petrol_mu 1.000000 0.208582 delta_leisure_mu 0.208582 1.000000 delta_vacation_mu 0.027643 0.133644 delta_exercise_mu 0.072085 0.464140 delta_travel_mu 0.204614 0.713289 delta_other_mu 0.014195 0.190347 delta_dropOff_sigma 0.049808 -0.002591 delta_work_sigma -0.033737 -0.008323 delta_school_sigma 0.013909 3.7190e-04 delta_shopping_sigma -0.030544 1.3484e-04 delta_privBusiness_sigma -0.023101 -0.001870 delta_petrol_sigma 0.842886 -0.007909 delta_leisure_sigma -0.001656 -0.172585 delta_vacation_sigma -0.017685 -0.010406 delta_exercise_sigma -0.034005 0.016245 delta_travel_sigma -0.017476 0.082987 delta_other_sigma 0.040564 0.015177 delta_vacation_mu delta_exercise_mu alpha_base 2.2368e-04 4.8635e-04 gamma_dropOff 0.001825 -0.005618 gamma_work -0.013406 -0.037049 gamma_school -0.008686 -0.003768 gamma_shopping -0.002604 -0.006105 gamma_privBusiness -0.001763 -0.004176 gamma_petrol -0.001381 -0.005923 gamma_leisure -0.007516 -0.009127 gamma_vacation 0.027199 -0.001103 gamma_exercise -0.003637 0.032608 gamma_home 0.161191 0.522889 gamma_travel 0.014689 0.017630 gamma_other -0.003489 -0.003546 delta_dropOff_mu 0.074943 0.253198 delta_work_mu 0.140820 0.455556 delta_school_mu -0.005993 0.092610 delta_shopping_mu 0.138135 0.458761 delta_privBusiness_mu 0.117580 0.385555 delta_petrol_mu 0.027643 0.072085 delta_leisure_mu 0.133644 0.464140 delta_vacation_mu 1.000000 0.099160 delta_exercise_mu 0.099160 1.000000 delta_travel_mu 0.133125 0.448668 delta_other_mu 0.009498 0.123220 delta_dropOff_sigma -0.006403 0.008588 delta_work_sigma 0.006283 0.017188 delta_school_sigma 0.038174 7.028e-05 delta_shopping_sigma 0.010709 0.018021 delta_privBusiness_sigma -0.002133 -0.011835 delta_petrol_sigma -0.016362 -0.071859 delta_leisure_sigma 0.013947 -0.023324 delta_vacation_sigma 0.836076 0.003406 delta_exercise_sigma 0.010463 0.573626 delta_travel_sigma 0.051982 0.091997 delta_other_sigma 0.035850 0.013589 delta_travel_mu delta_other_mu alpha_base -0.001344 -1.5299e-04 gamma_dropOff -0.007176 -2.3574e-04 gamma_work -0.072625 -0.015849 gamma_school -0.004874 -0.001193 gamma_shopping -0.003078 0.003331 gamma_privBusiness -0.006636 0.006140 gamma_petrol -9.2743e-04 -0.008136 gamma_leisure -0.020948 -0.012872 gamma_vacation -0.002674 -0.002310 gamma_exercise -0.018367 -0.002491 gamma_home 0.802757 0.228413 gamma_travel -0.464019 -0.013999 gamma_other -0.004159 0.050393 delta_dropOff_mu 0.400273 0.104625 delta_work_mu 0.692606 0.196020 delta_school_mu 0.149390 0.062676 delta_shopping_mu 0.709314 0.200226 delta_privBusiness_mu 0.609997 0.143581 delta_petrol_mu 0.204614 0.014195 delta_leisure_mu 0.713289 0.190347 delta_vacation_mu 0.133125 0.009498 delta_exercise_mu 0.448668 0.123220 delta_travel_mu 1.000000 0.200747 delta_other_mu 0.200747 1.000000 delta_dropOff_sigma 4.9214e-04 -0.043654 delta_work_sigma -0.015853 -0.011005 delta_school_sigma -0.009660 -0.036212 delta_shopping_sigma -0.005002 -0.003630 delta_privBusiness_sigma -0.004733 0.047478 delta_petrol_sigma -0.006312 -0.048692 delta_leisure_sigma -0.007288 0.027383 delta_vacation_sigma -0.004050 -0.033169 delta_exercise_sigma 0.016635 0.018120 delta_travel_sigma -0.048424 -0.041269 delta_other_sigma -0.002431 -0.852754 delta_dropOff_sigma delta_work_sigma alpha_base -3.5621e-04 7.3344e-04 gamma_dropOff -0.211562 0.003689 gamma_work 0.003057 0.270990 gamma_school -9.284e-05 -0.006072 gamma_shopping -0.006554 -0.007139 gamma_privBusiness -1.4927e-04 -0.009164 gamma_petrol 0.005117 -0.003686 gamma_leisure 0.004666 -0.009908 gamma_vacation -2.3883e-04 0.001179 gamma_exercise 0.003458 -0.004402 gamma_home -0.009245 -0.007226 gamma_travel -0.016269 0.029512 gamma_other -0.003312 -0.001406 delta_dropOff_mu -0.569085 0.013195 delta_work_mu -0.019723 0.144342 delta_school_mu 0.010667 -0.025843 delta_shopping_mu -0.021987 -0.018397 delta_privBusiness_mu 0.002236 -0.016256 delta_petrol_mu 0.049808 -0.033737 delta_leisure_mu -0.002591 -0.008323 delta_vacation_mu -0.006403 0.006283 delta_exercise_mu 0.008588 0.017188 delta_travel_mu 4.9214e-04 -0.015853 delta_other_mu -0.043654 -0.011005 delta_dropOff_sigma 1.000000 -0.015158 delta_work_sigma -0.015158 1.000000 delta_school_sigma -0.014527 0.031833 delta_shopping_sigma 0.027075 0.064429 delta_privBusiness_sigma -0.008709 -0.063617 delta_petrol_sigma 0.057961 -0.036544 delta_leisure_sigma -0.015996 0.064679 delta_vacation_sigma -0.004865 0.004677 delta_exercise_sigma 0.010619 0.001251 delta_travel_sigma -0.050659 0.096968 delta_other_sigma 0.046267 0.011634 delta_school_sigma delta_shopping_sigma alpha_base 1.3817e-04 2.0541e-04 gamma_dropOff 0.007226 0.003315 gamma_work 0.009915 0.017236 gamma_school -0.183969 -7.0812e-04 gamma_shopping -0.001385 -0.176052 gamma_privBusiness 0.002101 0.003016 gamma_petrol 0.002518 -0.003327 gamma_leisure 0.003928 0.002993 gamma_vacation 0.002488 0.004390 gamma_exercise 0.002456 0.006661 gamma_home -0.004265 -0.001106 gamma_travel 0.020729 0.016334 gamma_other -0.002717 -9.0169e-04 delta_dropOff_mu 0.028826 0.030677 delta_work_mu -0.009916 0.007082 delta_school_mu -0.875325 0.003104 delta_shopping_mu -0.005405 -0.169685 delta_privBusiness_mu 0.035726 0.010600 delta_petrol_mu 0.013909 -0.030544 delta_leisure_mu 3.7190e-04 1.3484e-04 delta_vacation_mu 0.038174 0.010709 delta_exercise_mu 7.028e-05 0.018021 delta_travel_mu -0.009660 -0.005002 delta_other_mu -0.036212 -0.003630 delta_dropOff_sigma -0.014527 0.027075 delta_work_sigma 0.031833 0.064429 delta_school_sigma 1.000000 0.005344 delta_shopping_sigma 0.005344 1.000000 delta_privBusiness_sigma 0.030809 0.023579 delta_petrol_sigma 0.022428 -0.040803 delta_leisure_sigma -0.002441 -0.007785 delta_vacation_sigma 0.043661 -6.0368e-04 delta_exercise_sigma 0.007946 0.029715 delta_travel_sigma 0.058560 0.064290 delta_other_sigma 0.038216 0.005836 delta_privBusiness_sigma delta_petrol_sigma alpha_base -3.927e-05 -1.9684e-04 gamma_dropOff 0.002394 -3.5936e-04 gamma_work -0.017147 -0.011007 gamma_school -0.004265 -2.6478e-04 gamma_shopping -0.003834 0.005897 gamma_privBusiness 0.162398 -0.005031 gamma_petrol -0.004289 0.090936 gamma_leisure 9.0412e-04 0.002684 gamma_vacation 3.0106e-04 -0.001443 gamma_exercise -0.005983 -0.007031 gamma_home 0.002909 -0.018510 gamma_travel 0.004211 -0.014356 gamma_other 0.003858 -0.003100 delta_dropOff_mu -0.006395 -0.044404 delta_work_mu -5.4251e-04 -0.023301 delta_school_mu -0.023301 -0.017242 delta_shopping_mu -0.001957 -0.004642 delta_privBusiness_mu 0.281837 -0.021888 delta_petrol_mu -0.023101 0.842886 delta_leisure_mu -0.001870 -0.007909 delta_vacation_mu -0.002133 -0.016362 delta_exercise_mu -0.011835 -0.071859 delta_travel_mu -0.004733 -0.006312 delta_other_mu 0.047478 -0.048692 delta_dropOff_sigma -0.008709 0.057961 delta_work_sigma -0.063617 -0.036544 delta_school_sigma 0.030809 0.022428 delta_shopping_sigma 0.023579 -0.040803 delta_privBusiness_sigma 1.000000 -0.023791 delta_petrol_sigma -0.023791 1.000000 delta_leisure_sigma -0.021060 -0.002466 delta_vacation_sigma -4.4048e-04 -0.021790 delta_exercise_sigma -0.030645 -0.052325 delta_travel_sigma -0.029822 -0.047842 delta_other_sigma -0.052636 0.043403 delta_leisure_sigma delta_vacation_sigma alpha_base -3.1311e-04 1.0922e-04 gamma_dropOff 7.3555e-04 0.001605 gamma_work 0.019135 -0.001195 gamma_school 0.001817 -0.009122 gamma_shopping 0.004910 7.7719e-04 gamma_privBusiness -0.001239 -3.5641e-04 gamma_petrol -0.001281 -0.001821 gamma_leisure -0.216910 -0.005947 gamma_vacation 6.6582e-04 0.040700 gamma_exercise 0.004160 -0.002179 gamma_home -0.013898 0.001470 gamma_travel -0.017654 0.010408 gamma_other 0.003186 -0.002925 delta_dropOff_mu 0.003692 -0.002159 delta_work_mu -0.015133 0.005391 delta_school_mu 0.012425 -0.037552 delta_shopping_mu -0.013646 -0.004275 delta_privBusiness_mu -0.010977 -0.005034 delta_petrol_mu -0.001656 -0.017685 delta_leisure_mu -0.172585 -0.010406 delta_vacation_mu 0.013947 0.836076 delta_exercise_mu -0.023324 0.003406 delta_travel_mu -0.007288 -0.004050 delta_other_mu 0.027383 -0.033169 delta_dropOff_sigma -0.015996 -0.004865 delta_work_sigma 0.064679 0.004677 delta_school_sigma -0.002441 0.043661 delta_shopping_sigma -0.007785 -6.0368e-04 delta_privBusiness_sigma -0.021060 -4.4048e-04 delta_petrol_sigma -0.002466 -0.021790 delta_leisure_sigma 1.000000 0.020309 delta_vacation_sigma 0.020309 1.000000 delta_exercise_sigma 0.012110 -9.7274e-04 delta_travel_sigma -0.069259 0.028155 delta_other_sigma -0.041172 0.040505 delta_exercise_sigma delta_travel_sigma alpha_base 5.7435e-04 0.003653 gamma_dropOff -0.003518 0.009157 gamma_work -0.005821 -0.001621 gamma_school -0.001345 -0.009293 gamma_shopping -0.007774 -0.019357 gamma_privBusiness -0.005142 -0.010038 gamma_petrol -0.003997 -0.003491 gamma_leisure -0.002225 0.010058 gamma_vacation 4.7312e-04 0.002884 gamma_exercise 0.230078 -4.8557e-04 gamma_home 0.030619 0.076887 gamma_travel 0.026162 0.295833 gamma_other 8.5601e-04 -0.005814 delta_dropOff_mu 0.014663 0.079393 delta_work_mu 0.022548 0.100609 delta_school_mu 0.011447 -0.019786 delta_shopping_mu 0.017890 0.060609 delta_privBusiness_mu 0.023861 0.055457 delta_petrol_mu -0.034005 -0.017476 delta_leisure_mu 0.016245 0.082987 delta_vacation_mu 0.010463 0.051982 delta_exercise_mu 0.573626 0.091997 delta_travel_mu 0.016635 -0.048424 delta_other_mu 0.018120 -0.041269 delta_dropOff_sigma 0.010619 -0.050659 delta_work_sigma 0.001251 0.096968 delta_school_sigma 0.007946 0.058560 delta_shopping_sigma 0.029715 0.064290 delta_privBusiness_sigma -0.030645 -0.029822 delta_petrol_sigma -0.052325 -0.047842 delta_leisure_sigma 0.012110 -0.069259 delta_vacation_sigma -9.7274e-04 0.028155 delta_exercise_sigma 1.000000 0.071039 delta_travel_sigma 0.071039 1.000000 delta_other_sigma -0.010775 0.071265 delta_other_sigma alpha_base 3.0313e-04 gamma_dropOff 6.7748e-04 gamma_work -0.003087 gamma_school -2.2741e-04 gamma_shopping -0.004793 gamma_privBusiness -0.007801 gamma_petrol 0.007841 gamma_leisure 0.010992 gamma_vacation 0.001934 gamma_exercise -0.001937 gamma_home 0.001478 gamma_travel 0.018880 gamma_other -0.070243 delta_dropOff_mu 0.015431 delta_work_mu 0.002800 delta_school_mu -0.024585 delta_shopping_mu -0.001393 delta_privBusiness_mu 0.033226 delta_petrol_mu 0.040564 delta_leisure_mu 0.015177 delta_vacation_mu 0.035850 delta_exercise_mu 0.013589 delta_travel_mu -0.002431 delta_other_mu -0.852754 delta_dropOff_sigma 0.046267 delta_work_sigma 0.011634 delta_school_sigma 0.038216 delta_shopping_sigma 0.005836 delta_privBusiness_sigma -0.052636 delta_petrol_sigma 0.043403 delta_leisure_sigma -0.041172 delta_vacation_sigma 0.040505 delta_exercise_sigma -0.010775 delta_travel_sigma 0.071265 delta_other_sigma 1.000000 Robust correlation matrix: alpha_base gamma_dropOff alpha_base 1.00000 0.120509 gamma_dropOff 0.12051 1.000000 gamma_work -0.16906 -0.076266 gamma_school -0.15141 -0.048514 gamma_shopping 0.06545 0.069815 gamma_privBusiness 0.07171 0.019561 gamma_petrol 0.15834 0.078499 gamma_leisure 0.04080 0.036472 gamma_vacation 0.01680 -0.014547 gamma_exercise -0.01698 0.085086 gamma_home 0.47851 0.154431 gamma_travel 0.46399 -0.011810 gamma_other 0.11251 0.073707 delta_dropOff_mu 0.25650 0.073326 delta_work_mu 0.31166 0.122139 delta_school_mu 0.18132 0.056132 delta_shopping_mu 0.41362 0.187193 delta_privBusiness_mu 0.37735 0.109472 delta_petrol_mu 0.13778 0.131235 delta_leisure_mu 0.35961 0.155959 delta_vacation_mu 0.14715 0.043871 delta_exercise_mu 0.24877 0.135072 delta_travel_mu 0.18415 0.160505 delta_other_mu 0.20058 0.022846 delta_dropOff_sigma 0.09882 0.004991 delta_work_sigma -0.03048 -0.044378 delta_school_sigma -0.03970 0.009942 delta_shopping_sigma -0.04864 -0.029728 delta_privBusiness_sigma -0.09681 -0.098945 delta_petrol_sigma 0.02959 0.092227 delta_leisure_sigma -0.01213 0.072550 delta_vacation_sigma 0.02283 -0.012740 delta_exercise_sigma -0.02004 0.059841 delta_travel_sigma -0.06705 -0.041492 delta_other_sigma 0.04908 0.038780 gamma_work gamma_school alpha_base -0.169055 -0.151414 gamma_dropOff -0.076266 -0.048514 gamma_work 1.000000 0.157491 gamma_school 0.157491 1.000000 gamma_shopping -0.048983 -0.029565 gamma_privBusiness -0.019548 0.023856 gamma_petrol -0.082316 -0.165822 gamma_leisure 0.095318 3.4052e-04 gamma_vacation 0.027128 -0.008109 gamma_exercise -0.088945 -0.050887 gamma_home -0.149591 -0.171148 gamma_travel -0.127623 -0.037256 gamma_other -0.048083 0.009197 delta_dropOff_mu -0.003248 -0.053348 delta_work_mu -0.215988 -0.176067 delta_school_mu -0.105630 0.031731 delta_shopping_mu -0.100073 -0.142524 delta_privBusiness_mu -0.129848 -0.140551 delta_petrol_mu -0.111740 -0.265598 delta_leisure_mu -0.104223 -0.146824 delta_vacation_mu -0.027978 -0.034526 delta_exercise_mu -0.021128 -0.123948 delta_travel_mu -0.086722 -0.145783 delta_other_mu 0.041981 0.009871 delta_dropOff_sigma -0.117218 -0.294887 delta_work_sigma 0.360704 0.019476 delta_school_sigma -0.005960 -0.206555 delta_shopping_sigma -0.071714 -0.050200 delta_privBusiness_sigma -0.058461 0.082388 delta_petrol_sigma -0.078511 -0.213411 delta_leisure_sigma -0.052994 0.115218 delta_vacation_sigma -0.035330 0.026913 delta_exercise_sigma 0.034371 -0.094028 delta_travel_sigma -0.029994 -0.004149 delta_other_sigma -0.101458 -0.072641 gamma_shopping gamma_privBusiness alpha_base 0.065449 0.071712 gamma_dropOff 0.069815 0.019561 gamma_work -0.048983 -0.019548 gamma_school -0.029565 0.023856 gamma_shopping 1.000000 0.045192 gamma_privBusiness 0.045192 1.000000 gamma_petrol 0.044303 0.016523 gamma_leisure 0.126475 -0.024651 gamma_vacation 0.039490 0.055345 gamma_exercise 0.034201 -0.050215 gamma_home 0.112236 0.037724 gamma_travel 0.019411 0.084645 gamma_other 0.117917 0.141566 delta_dropOff_mu -0.049370 -0.052390 delta_work_mu 0.105457 -0.007592 delta_school_mu 0.079051 0.082472 delta_shopping_mu 0.056145 -0.009550 delta_privBusiness_mu 0.076855 0.005250 delta_petrol_mu 0.034435 -0.023873 delta_leisure_mu 0.081813 0.007378 delta_vacation_mu 0.008088 -0.004097 delta_exercise_mu 0.045783 0.017569 delta_travel_mu 0.071365 -0.015399 delta_other_mu 0.057270 0.130225 delta_dropOff_sigma 0.009975 0.031875 delta_work_sigma 0.021981 -0.084122 delta_school_sigma -0.042728 -0.055695 delta_shopping_sigma -0.220217 0.079755 delta_privBusiness_sigma 0.018577 0.071879 delta_petrol_sigma 0.023950 -0.027939 delta_leisure_sigma 0.052306 -0.003071 delta_vacation_sigma -0.066792 1.3926e-04 delta_exercise_sigma -0.024831 -0.017026 delta_travel_sigma -0.074042 -0.047200 delta_other_sigma -0.057148 -0.113988 gamma_petrol gamma_leisure alpha_base 0.158337 0.040800 gamma_dropOff 0.078499 0.036472 gamma_work -0.082316 0.095318 gamma_school -0.165822 3.4052e-04 gamma_shopping 0.044303 0.126475 gamma_privBusiness 0.016523 -0.024651 gamma_petrol 1.000000 0.046453 gamma_leisure 0.046453 1.000000 gamma_vacation -0.001696 0.007297 gamma_exercise 0.093741 -0.012923 gamma_home 0.228492 0.137656 gamma_travel -0.041810 -0.037181 gamma_other 0.062022 0.007379 delta_dropOff_mu 0.023161 0.084774 delta_work_mu 0.271202 0.125066 delta_school_mu 0.096712 0.004337 delta_shopping_mu 0.164831 0.091737 delta_privBusiness_mu 0.208200 0.066648 delta_petrol_mu -0.067204 0.024100 delta_leisure_mu 0.194411 0.038065 delta_vacation_mu 0.059888 -0.043071 delta_exercise_mu 0.163363 0.074363 delta_travel_mu 0.238678 0.113635 delta_other_mu 0.234719 0.045804 delta_dropOff_sigma 0.259429 -0.039705 delta_work_sigma -0.026081 0.010378 delta_school_sigma 0.026390 0.002559 delta_shopping_sigma 0.172688 -0.064478 delta_privBusiness_sigma 0.033038 -0.007949 delta_petrol_sigma -0.226873 0.024526 delta_leisure_sigma -0.014246 -0.295411 delta_vacation_sigma -0.009020 -0.081837 delta_exercise_sigma 0.024818 -0.027142 delta_travel_sigma -0.033161 -0.057825 delta_other_sigma -0.143491 0.021963 gamma_vacation gamma_exercise alpha_base 0.016796 -0.016981 gamma_dropOff -0.014547 0.085086 gamma_work 0.027128 -0.088945 gamma_school -0.008109 -0.050887 gamma_shopping 0.039490 0.034201 gamma_privBusiness 0.055345 -0.050215 gamma_petrol -0.001696 0.093741 gamma_leisure 0.007297 -0.012923 gamma_vacation 1.000000 0.024680 gamma_exercise 0.024680 1.000000 gamma_home -0.027070 0.062769 gamma_travel 0.017963 0.034349 gamma_other 0.031118 -0.024608 delta_dropOff_mu -0.041570 -0.028121 delta_work_mu -0.036982 0.073497 delta_school_mu -0.063524 0.026709 delta_shopping_mu -0.037133 0.055477 delta_privBusiness_mu -0.046627 0.046292 delta_petrol_mu -0.019498 0.023955 delta_leisure_mu -0.060495 0.032677 delta_vacation_mu -0.129323 0.037609 delta_exercise_mu -0.001541 0.070284 delta_travel_mu -0.054311 0.052512 delta_other_mu 0.028122 0.036166 delta_dropOff_sigma 0.013344 0.045230 delta_work_sigma 0.027683 -0.006828 delta_school_sigma -0.019991 0.049252 delta_shopping_sigma -0.003792 -0.055083 delta_privBusiness_sigma 0.005477 0.070680 delta_petrol_sigma -0.028916 0.012235 delta_leisure_sigma -0.025235 0.050267 delta_vacation_sigma -0.236586 0.007855 delta_exercise_sigma 0.019148 0.144359 delta_travel_sigma -0.049577 -0.036593 delta_other_sigma -0.044751 -0.014989 gamma_home gamma_travel alpha_base 0.47851 0.463991 gamma_dropOff 0.15443 -0.011810 gamma_work -0.14959 -0.127623 gamma_school -0.17115 -0.037256 gamma_shopping 0.11224 0.019411 gamma_privBusiness 0.03772 0.084645 gamma_petrol 0.22849 -0.041810 gamma_leisure 0.13766 -0.037181 gamma_vacation -0.02707 0.017963 gamma_exercise 0.06277 0.034349 gamma_home 1.00000 0.087347 gamma_travel 0.08735 1.000000 gamma_other 0.17739 0.080578 delta_dropOff_mu 0.49338 -0.012841 delta_work_mu 0.87282 0.008626 delta_school_mu 0.35608 -0.023252 delta_shopping_mu 0.90646 -0.035134 delta_privBusiness_mu 0.85698 -0.043205 delta_petrol_mu 0.41006 -0.061164 delta_leisure_mu 0.90756 -0.022445 delta_vacation_mu 0.32426 0.082921 delta_exercise_mu 0.64675 -0.010388 delta_travel_mu 0.85516 -0.348117 delta_other_mu 0.33316 -0.021519 delta_dropOff_sigma 0.36179 -0.078030 delta_work_sigma -0.05707 0.016571 delta_school_sigma 0.01155 -0.002418 delta_shopping_sigma 0.02434 0.012792 delta_privBusiness_sigma 0.02581 0.014872 delta_petrol_sigma 0.18035 -0.050109 delta_leisure_sigma 0.08520 -0.010666 delta_vacation_sigma 0.01828 0.066890 delta_exercise_sigma -0.04709 0.019558 delta_travel_sigma -0.02216 0.045400 delta_other_sigma 0.07483 0.098853 gamma_other delta_dropOff_mu alpha_base 0.112507 0.256505 gamma_dropOff 0.073707 0.073326 gamma_work -0.048083 -0.003248 gamma_school 0.009197 -0.053348 gamma_shopping 0.117917 -0.049370 gamma_privBusiness 0.141566 -0.052390 gamma_petrol 0.062022 0.023161 gamma_leisure 0.007379 0.084774 gamma_vacation 0.031118 -0.041570 gamma_exercise -0.024608 -0.028121 gamma_home 0.177390 0.493381 gamma_travel 0.080578 -0.012841 gamma_other 1.000000 0.079058 delta_dropOff_mu 0.079058 1.000000 delta_work_mu 0.150231 0.459727 delta_school_mu 0.074472 0.105995 delta_shopping_mu 0.128214 0.510116 delta_privBusiness_mu 0.163404 0.446228 delta_petrol_mu 0.041768 0.002310 delta_leisure_mu 0.122491 0.496933 delta_vacation_mu 0.092258 0.145288 delta_exercise_mu 0.062461 0.369717 delta_travel_mu 0.110120 0.500574 delta_other_mu -0.038886 0.288312 delta_dropOff_sigma -0.007812 -0.387936 delta_work_sigma -0.039546 0.046181 delta_school_sigma -0.013416 0.075365 delta_shopping_sigma 0.027028 0.044068 delta_privBusiness_sigma 0.028710 -0.029312 delta_petrol_sigma -0.013367 -0.137386 delta_leisure_sigma 0.016900 0.052256 delta_vacation_sigma 0.033060 0.055381 delta_exercise_sigma -0.068395 -0.014035 delta_travel_sigma -0.009390 0.221805 delta_other_sigma 0.146043 -0.040611 delta_work_mu delta_school_mu alpha_base 0.311664 0.181317 gamma_dropOff 0.122139 0.056132 gamma_work -0.215988 -0.105630 gamma_school -0.176067 0.031731 gamma_shopping 0.105457 0.079051 gamma_privBusiness -0.007592 0.082472 gamma_petrol 0.271202 0.096712 gamma_leisure 0.125066 0.004337 gamma_vacation -0.036982 -0.063524 gamma_exercise 0.073497 0.026709 gamma_home 0.872823 0.356077 gamma_travel 0.008626 -0.023252 gamma_other 0.150231 0.074472 delta_dropOff_mu 0.459727 0.105995 delta_work_mu 1.000000 0.263609 delta_school_mu 0.263609 1.000000 delta_shopping_mu 0.799941 0.288546 delta_privBusiness_mu 0.721517 0.309246 delta_petrol_mu 0.332361 0.124304 delta_leisure_mu 0.824594 0.304446 delta_vacation_mu 0.257018 0.119030 delta_exercise_mu 0.590696 0.232170 delta_travel_mu 0.848860 0.314302 delta_other_mu 0.351252 0.147264 delta_dropOff_sigma 0.326875 0.190719 delta_work_sigma 0.203485 -0.190901 delta_school_sigma 0.059969 -0.800457 delta_shopping_sigma 0.098242 0.014376 delta_privBusiness_sigma -5.2400e-04 0.005310 delta_petrol_sigma 0.099832 0.045866 delta_leisure_sigma 0.076004 0.086072 delta_vacation_sigma 0.008559 -0.004013 delta_exercise_sigma -0.044120 0.006376 delta_travel_sigma 0.097914 -0.009070 delta_other_sigma 0.038247 -0.044021 delta_shopping_mu delta_privBusiness_mu alpha_base 0.413624 0.377350 gamma_dropOff 0.187193 0.109472 gamma_work -0.100073 -0.129848 gamma_school -0.142524 -0.140551 gamma_shopping 0.056145 0.076855 gamma_privBusiness -0.009550 0.005250 gamma_petrol 0.164831 0.208200 gamma_leisure 0.091737 0.066648 gamma_vacation -0.037133 -0.046627 gamma_exercise 0.055477 0.046292 gamma_home 0.906463 0.856980 gamma_travel -0.035134 -0.043205 gamma_other 0.128214 0.163404 delta_dropOff_mu 0.510116 0.446228 delta_work_mu 0.799941 0.721517 delta_school_mu 0.288546 0.309246 delta_shopping_mu 1.000000 0.811992 delta_privBusiness_mu 0.811992 1.000000 delta_petrol_mu 0.398706 0.416011 delta_leisure_mu 0.885534 0.827072 delta_vacation_mu 0.314644 0.269507 delta_exercise_mu 0.633208 0.582831 delta_travel_mu 0.864988 0.817407 delta_other_mu 0.332023 0.264016 delta_dropOff_sigma 0.301504 0.366599 delta_work_sigma -0.020529 -0.121318 delta_school_sigma 0.042732 0.057798 delta_shopping_sigma -0.120409 -0.014340 delta_privBusiness_sigma 0.015126 0.178405 delta_petrol_sigma 0.171463 0.209120 delta_leisure_sigma 0.029750 0.089262 delta_vacation_sigma 0.026600 -0.023725 delta_exercise_sigma -0.032879 -0.028796 delta_travel_sigma 0.034884 0.021667 delta_other_sigma 0.054873 0.122021 delta_petrol_mu delta_leisure_mu alpha_base 0.137783 0.359609 gamma_dropOff 0.131235 0.155959 gamma_work -0.111740 -0.104223 gamma_school -0.265598 -0.146824 gamma_shopping 0.034435 0.081813 gamma_privBusiness -0.023873 0.007378 gamma_petrol -0.067204 0.194411 gamma_leisure 0.024100 0.038065 gamma_vacation -0.019498 -0.060495 gamma_exercise 0.023955 0.032677 gamma_home 0.410057 0.907557 gamma_travel -0.061164 -0.022445 gamma_other 0.041768 0.122491 delta_dropOff_mu 0.002310 0.496933 delta_work_mu 0.332361 0.824594 delta_school_mu 0.124304 0.304446 delta_shopping_mu 0.398706 0.885534 delta_privBusiness_mu 0.416011 0.827072 delta_petrol_mu 1.000000 0.400505 delta_leisure_mu 0.400505 1.000000 delta_vacation_mu 0.118553 0.357104 delta_exercise_mu 0.184500 0.624307 delta_travel_mu 0.405444 0.880247 delta_other_mu -0.160471 0.302709 delta_dropOff_sigma 0.590020 0.332445 delta_work_sigma -0.088208 -0.008452 delta_school_sigma 0.146102 0.063303 delta_shopping_sigma -0.106076 0.018471 delta_privBusiness_sigma -0.027671 0.009100 delta_petrol_sigma 0.929389 0.175253 delta_leisure_sigma -0.015604 -0.032468 delta_vacation_sigma -0.061277 0.028229 delta_exercise_sigma -0.095729 -0.048109 delta_travel_sigma -0.117444 0.082498 delta_other_sigma 0.309701 0.088898 delta_vacation_mu delta_exercise_mu alpha_base 0.147150 0.248768 gamma_dropOff 0.043871 0.135072 gamma_work -0.027978 -0.021128 gamma_school -0.034526 -0.123948 gamma_shopping 0.008088 0.045783 gamma_privBusiness -0.004097 0.017569 gamma_petrol 0.059888 0.163363 gamma_leisure -0.043071 0.074363 gamma_vacation -0.129323 -0.001541 gamma_exercise 0.037609 0.070284 gamma_home 0.324264 0.646748 gamma_travel 0.082921 -0.010388 gamma_other 0.092258 0.062461 delta_dropOff_mu 0.145288 0.369717 delta_work_mu 0.257018 0.590696 delta_school_mu 0.119030 0.232170 delta_shopping_mu 0.314644 0.633208 delta_privBusiness_mu 0.269507 0.582831 delta_petrol_mu 0.118553 0.184500 delta_leisure_mu 0.357104 0.624307 delta_vacation_mu 1.000000 0.165721 delta_exercise_mu 0.165721 1.000000 delta_travel_mu 0.285580 0.648160 delta_other_mu 0.082497 0.267550 delta_dropOff_sigma 0.106478 0.240687 delta_work_sigma -0.013920 0.053376 delta_school_sigma 0.043671 0.061395 delta_shopping_sigma 0.031996 0.118560 delta_privBusiness_sigma -0.001447 0.035218 delta_petrol_sigma 0.049196 0.006637 delta_leisure_sigma 0.065155 0.028830 delta_vacation_sigma 0.748527 -0.046542 delta_exercise_sigma -0.035078 0.473644 delta_travel_sigma 0.098899 0.202925 delta_other_sigma 0.066019 0.025639 delta_travel_mu delta_other_mu alpha_base 0.184150 0.200579 gamma_dropOff 0.160505 0.022846 gamma_work -0.086722 0.041981 gamma_school -0.145783 0.009871 gamma_shopping 0.071365 0.057270 gamma_privBusiness -0.015399 0.130225 gamma_petrol 0.238678 0.234719 gamma_leisure 0.113635 0.045804 gamma_vacation -0.054311 0.028122 gamma_exercise 0.052512 0.036166 gamma_home 0.855157 0.333163 gamma_travel -0.348117 -0.021519 gamma_other 0.110120 -0.038886 delta_dropOff_mu 0.500574 0.288312 delta_work_mu 0.848860 0.351252 delta_school_mu 0.314302 0.147264 delta_shopping_mu 0.864988 0.332023 delta_privBusiness_mu 0.817407 0.264016 delta_petrol_mu 0.405444 -0.160471 delta_leisure_mu 0.880247 0.302709 delta_vacation_mu 0.285580 0.082497 delta_exercise_mu 0.648160 0.267550 delta_travel_mu 1.000000 0.335441 delta_other_mu 0.335441 1.000000 delta_dropOff_sigma 0.364315 -0.072375 delta_work_sigma 0.022389 0.063211 delta_school_sigma 0.054762 -0.065654 delta_shopping_sigma 0.050404 -0.006706 delta_privBusiness_sigma 0.002728 0.208969 delta_petrol_sigma 0.176207 -0.310012 delta_leisure_sigma 0.075216 0.065287 delta_vacation_sigma -0.002517 -0.017661 delta_exercise_sigma -0.029741 0.055592 delta_travel_sigma 0.093569 -0.056456 delta_other_sigma 0.030881 -0.828814 delta_dropOff_sigma delta_work_sigma alpha_base 0.098821 -0.030479 gamma_dropOff 0.004991 -0.044378 gamma_work -0.117218 0.360704 gamma_school -0.294887 0.019476 gamma_shopping 0.009975 0.021981 gamma_privBusiness 0.031875 -0.084122 gamma_petrol 0.259429 -0.026081 gamma_leisure -0.039705 0.010378 gamma_vacation 0.013344 0.027683 gamma_exercise 0.045230 -0.006828 gamma_home 0.361795 -0.057070 gamma_travel -0.078030 0.016571 gamma_other -0.007812 -0.039546 delta_dropOff_mu -0.387936 0.046181 delta_work_mu 0.326875 0.203485 delta_school_mu 0.190719 -0.190901 delta_shopping_mu 0.301504 -0.020529 delta_privBusiness_mu 0.366599 -0.121318 delta_petrol_mu 0.590020 -0.088208 delta_leisure_mu 0.332445 -0.008452 delta_vacation_mu 0.106478 -0.013920 delta_exercise_mu 0.240687 0.053376 delta_travel_mu 0.364315 0.022389 delta_other_mu -0.072375 0.063211 delta_dropOff_sigma 1.000000 -0.082209 delta_work_sigma -0.082209 1.000000 delta_school_sigma 0.055748 0.128431 delta_shopping_sigma 0.048976 0.061293 delta_privBusiness_sigma 0.003972 -0.142489 delta_petrol_sigma 0.494389 -0.093010 delta_leisure_sigma -0.022294 0.031807 delta_vacation_sigma -0.057869 0.038494 delta_exercise_sigma 0.013212 0.049758 delta_travel_sigma -0.164796 0.213692 delta_other_sigma 0.198527 -0.021425 delta_school_sigma delta_shopping_sigma alpha_base -0.039704 -0.048643 gamma_dropOff 0.009942 -0.029728 gamma_work -0.005960 -0.071714 gamma_school -0.206555 -0.050200 gamma_shopping -0.042728 -0.220217 gamma_privBusiness -0.055695 0.079755 gamma_petrol 0.026390 0.172688 gamma_leisure 0.002559 -0.064478 gamma_vacation -0.019991 -0.003792 gamma_exercise 0.049252 -0.055083 gamma_home 0.011554 0.024338 gamma_travel -0.002418 0.012792 gamma_other -0.013416 0.027028 delta_dropOff_mu 0.075365 0.044068 delta_work_mu 0.059969 0.098242 delta_school_mu -0.800457 0.014376 delta_shopping_mu 0.042732 -0.120409 delta_privBusiness_mu 0.057798 -0.014340 delta_petrol_mu 0.146102 -0.106076 delta_leisure_mu 0.063303 0.018471 delta_vacation_mu 0.043671 0.031996 delta_exercise_mu 0.061395 0.118560 delta_travel_mu 0.054762 0.050404 delta_other_mu -0.065654 -0.006706 delta_dropOff_sigma 0.055748 0.048976 delta_work_sigma 0.128431 0.061293 delta_school_sigma 1.000000 0.030411 delta_shopping_sigma 0.030411 1.000000 delta_privBusiness_sigma 0.038061 -0.016527 delta_petrol_sigma 0.142710 -0.147780 delta_leisure_sigma -0.057294 0.081400 delta_vacation_sigma 0.052084 0.027262 delta_exercise_sigma 0.077744 0.161975 delta_travel_sigma 0.069174 0.152927 delta_other_sigma 0.118107 0.026258 delta_privBusiness_sigma delta_petrol_sigma alpha_base -0.096811 0.029591 gamma_dropOff -0.098945 0.092227 gamma_work -0.058461 -0.078511 gamma_school 0.082388 -0.213411 gamma_shopping 0.018577 0.023950 gamma_privBusiness 0.071879 -0.027939 gamma_petrol 0.033038 -0.226873 gamma_leisure -0.007949 0.024526 gamma_vacation 0.005477 -0.028916 gamma_exercise 0.070680 0.012235 gamma_home 0.025814 0.180352 gamma_travel 0.014872 -0.050109 gamma_other 0.028710 -0.013367 delta_dropOff_mu -0.029312 -0.137386 delta_work_mu -5.2400e-04 0.099832 delta_school_mu 0.005310 0.045866 delta_shopping_mu 0.015126 0.171463 delta_privBusiness_mu 0.178405 0.209120 delta_petrol_mu -0.027671 0.929389 delta_leisure_mu 0.009100 0.175253 delta_vacation_mu -0.001447 0.049196 delta_exercise_mu 0.035218 0.006637 delta_travel_mu 0.002728 0.176207 delta_other_mu 0.208969 -0.310012 delta_dropOff_sigma 0.003972 0.494389 delta_work_sigma -0.142489 -0.093010 delta_school_sigma 0.038061 0.142710 delta_shopping_sigma -0.016527 -0.147780 delta_privBusiness_sigma 1.000000 -0.037137 delta_petrol_sigma -0.037137 1.000000 delta_leisure_sigma -0.023939 -0.018969 delta_vacation_sigma -0.029057 -0.065869 delta_exercise_sigma -0.053526 -0.104512 delta_travel_sigma -0.052750 -0.146394 delta_other_sigma -0.219155 0.355015 delta_leisure_sigma delta_vacation_sigma alpha_base -0.012132 0.022831 gamma_dropOff 0.072550 -0.012740 gamma_work -0.052994 -0.035330 gamma_school 0.115218 0.026913 gamma_shopping 0.052306 -0.066792 gamma_privBusiness -0.003071 1.3926e-04 gamma_petrol -0.014246 -0.009020 gamma_leisure -0.295411 -0.081837 gamma_vacation -0.025235 -0.236586 gamma_exercise 0.050267 0.007855 gamma_home 0.085204 0.018277 gamma_travel -0.010666 0.066890 gamma_other 0.016900 0.033060 delta_dropOff_mu 0.052256 0.055381 delta_work_mu 0.076004 0.008559 delta_school_mu 0.086072 -0.004013 delta_shopping_mu 0.029750 0.026600 delta_privBusiness_mu 0.089262 -0.023725 delta_petrol_mu -0.015604 -0.061277 delta_leisure_mu -0.032468 0.028229 delta_vacation_mu 0.065155 0.748527 delta_exercise_mu 0.028830 -0.046542 delta_travel_mu 0.075216 -0.002517 delta_other_mu 0.065287 -0.017661 delta_dropOff_sigma -0.022294 -0.057869 delta_work_sigma 0.031807 0.038494 delta_school_sigma -0.057294 0.052084 delta_shopping_sigma 0.081400 0.027262 delta_privBusiness_sigma -0.023939 -0.029057 delta_petrol_sigma -0.018969 -0.065869 delta_leisure_sigma 1.000000 0.098847 delta_vacation_sigma 0.098847 1.000000 delta_exercise_sigma 0.020442 -0.027907 delta_travel_sigma -0.171240 0.097379 delta_other_sigma -0.079237 0.053086 delta_exercise_sigma delta_travel_sigma alpha_base -0.020042 -0.067052 gamma_dropOff 0.059841 -0.041492 gamma_work 0.034371 -0.029994 gamma_school -0.094028 -0.004149 gamma_shopping -0.024831 -0.074042 gamma_privBusiness -0.017026 -0.047200 gamma_petrol 0.024818 -0.033161 gamma_leisure -0.027142 -0.057825 gamma_vacation 0.019148 -0.049577 gamma_exercise 0.144359 -0.036593 gamma_home -0.047093 -0.022156 gamma_travel 0.019558 0.045400 gamma_other -0.068395 -0.009390 delta_dropOff_mu -0.014035 0.221805 delta_work_mu -0.044120 0.097914 delta_school_mu 0.006376 -0.009070 delta_shopping_mu -0.032879 0.034884 delta_privBusiness_mu -0.028796 0.021667 delta_petrol_mu -0.095729 -0.117444 delta_leisure_mu -0.048109 0.082498 delta_vacation_mu -0.035078 0.098899 delta_exercise_mu 0.473644 0.202925 delta_travel_mu -0.029741 0.093569 delta_other_mu 0.055592 -0.056456 delta_dropOff_sigma 0.013212 -0.164796 delta_work_sigma 0.049758 0.213692 delta_school_sigma 0.077744 0.069174 delta_shopping_sigma 0.161975 0.152927 delta_privBusiness_sigma -0.053526 -0.052750 delta_petrol_sigma -0.104512 -0.146394 delta_leisure_sigma 0.020442 -0.171240 delta_vacation_sigma -0.027907 0.097379 delta_exercise_sigma 1.000000 0.238208 delta_travel_sigma 0.238208 1.000000 delta_other_sigma -0.049361 0.125811 delta_other_sigma alpha_base 0.04908 gamma_dropOff 0.03878 gamma_work -0.10146 gamma_school -0.07264 gamma_shopping -0.05715 gamma_privBusiness -0.11399 gamma_petrol -0.14349 gamma_leisure 0.02196 gamma_vacation -0.04475 gamma_exercise -0.01499 gamma_home 0.07483 gamma_travel 0.09885 gamma_other 0.14604 delta_dropOff_mu -0.04061 delta_work_mu 0.03825 delta_school_mu -0.04402 delta_shopping_mu 0.05487 delta_privBusiness_mu 0.12202 delta_petrol_mu 0.30970 delta_leisure_mu 0.08890 delta_vacation_mu 0.06602 delta_exercise_mu 0.02564 delta_travel_mu 0.03088 delta_other_mu -0.82881 delta_dropOff_sigma 0.19853 delta_work_sigma -0.02142 delta_school_sigma 0.11811 delta_shopping_sigma 0.02626 delta_privBusiness_sigma -0.21916 delta_petrol_sigma 0.35501 delta_leisure_sigma -0.07924 delta_vacation_sigma 0.05309 delta_exercise_sigma -0.04936 delta_travel_sigma 0.12581 delta_other_sigma 1.00000 20 worst outliers in terms of lowest average per choice prediction: ID Avg prob per choice 3375723 3.712374e-08 1226238 5.379040e-08 7652039 6.894164e-08 6873173 1.410158e-07 6292582 1.411619e-07 3051038 2.612408e-07 8530000 5.230629e-07 2146576 5.331328e-07 5804392 6.207716e-07 2684804 6.385862e-07 2191235 8.961991e-07 1482825 9.092060e-07 9216479 9.242069e-07 8465193 9.558125e-07 9902059 9.863721e-07 4376416 1.360417e-06 9545640 1.462510e-06 582836 1.629808e-06 8795776 2.373763e-06 4556758 2.380602e-06 Changes in parameter estimates from starting values: Initial Estimate Difference alpha_base 0.000 -9.19467 -9.19467 gamma_dropOff 1.000 0.31718 -0.68282 gamma_work 1.000 5.52962 4.52962 gamma_school 1.000 2.21033 1.21033 gamma_shopping 1.000 0.39793 -0.60207 gamma_privBusiness 1.000 0.54550 -0.45450 gamma_petrol 1.000 0.11108 -0.88892 gamma_leisure 1.000 1.67662 0.67662 gamma_vacation 1.000 1.51877 0.51877 gamma_exercise 1.000 2.07361 1.07361 gamma_home 1.000 2.62203 1.62203 gamma_travel 1.000 0.19110 -0.80890 gamma_other 1.000 1.66236 0.66236 delta_dropOff_mu 0.000 -4.33035 -4.33035 delta_work_mu 0.000 -2.46010 -2.46010 delta_school_mu 0.000 -7.58812 -7.58812 delta_shopping_mu 0.000 -2.83241 -2.83241 delta_privBusiness_mu 0.000 -3.42937 -3.42937 delta_petrol_mu 0.000 -6.07317 -6.07317 delta_leisure_mu 0.000 -2.70023 -2.70023 delta_vacation_mu 0.000 -7.41734 -7.41734 delta_exercise_mu 0.000 -4.25333 -4.25333 delta_home_mu 0.000 0.00000 0.00000 delta_travel_mu 0.000 -0.04773 -0.04773 delta_other_mu 0.000 -6.07437 -6.07437 delta_dropOff_sigma 0.000 1.92937 1.92937 delta_work_sigma 0.000 -0.75299 -0.75299 delta_school_sigma 0.000 2.41407 2.41407 delta_shopping_sigma 0.000 0.51872 0.51872 delta_privBusiness_sigma 0.000 -0.90773 -0.90773 delta_petrol_sigma 0.000 -1.20777 -1.20777 delta_leisure_sigma 0.000 0.53164 0.53164 delta_vacation_sigma 0.000 -1.21408 -1.21408 delta_exercise_sigma 0.000 -1.47557 -1.47557 delta_home_sigma 0.000 0.00000 0.00000 delta_travel_sigma 0.000 -0.22113 -0.22113 delta_other_sigma 0.000 1.00529 1.00529 sig 1.000 1.00000 0.00000 Settings and functions used in model definition: apollo_control -------------- Value modelName "Apollo_example_17" modelDescr "Mixed MDCEV model on time use data, alpha-gamma profile, no outside good and random constants only in utilities" indivID "indivID" mixing "TRUE" nCores "4" debug "FALSE" workInLogs "FALSE" seed "13" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" panelData "TRUE" analyticGrad "TRUE" Hessian routines attempted -------------- numerical second derivative of LL (using numDeriv) Scaling used in computing Hessian -------------- Value alpha_base 9.19466632 gamma_dropOff 0.31718403 gamma_work 5.52961946 gamma_school 2.21033495 gamma_shopping 0.39792924 gamma_privBusiness 0.54549731 gamma_petrol 0.11107919 gamma_leisure 1.67661551 gamma_vacation 1.51876849 gamma_exercise 2.07361285 gamma_home 2.62203489 gamma_travel 0.19109594 gamma_other 1.66236206 delta_dropOff_mu 4.33034765 delta_work_mu 2.46010052 delta_school_mu 7.58812059 delta_shopping_mu 2.83241419 delta_privBusiness_mu 3.42936850 delta_petrol_mu 6.07317299 delta_leisure_mu 2.70023374 delta_vacation_mu 7.41733774 delta_exercise_mu 4.25333046 delta_travel_mu 0.04772919 delta_other_mu 6.07436726 delta_dropOff_sigma 1.92937028 delta_work_sigma 0.75299262 delta_school_sigma 2.41406618 delta_shopping_sigma 0.51871545 delta_privBusiness_sigma 0.90773101 delta_petrol_sigma 1.20777171 delta_leisure_sigma 0.53164429 delta_vacation_sigma 1.21407784 delta_exercise_sigma 1.47556825 delta_travel_sigma 0.22112622 delta_other_sigma 1.00528757 apollo_randCoeff ---------------- function(apollo_beta, apollo_inputs){ randcoeff = list() randcoeff[["delta_dropOff"]] = delta_dropOff_mu + delta_dropOff_sigma *draws_dropOff randcoeff[["delta_work"]] = delta_work_mu + delta_work_sigma *draws_work randcoeff[["delta_school"]] = delta_school_mu + delta_school_sigma *draws_school randcoeff[["delta_shopping"]] = delta_shopping_mu + delta_shopping_sigma*draws_shopping randcoeff[["delta_privBusiness"]] = delta_privBusiness_mu + delta_privBusiness_sigma*draws_privBusiness randcoeff[["delta_petrol"]] = delta_petrol_mu + delta_petrol_sigma *draws_petrol randcoeff[["delta_leisure"]] = delta_leisure_mu + delta_leisure_sigma *draws_leisure randcoeff[["delta_vacation"]] = delta_vacation_mu + delta_vacation_sigma*draws_vacation randcoeff[["delta_exercise"]] = delta_exercise_mu + delta_exercise_sigma*draws_exercise randcoeff[["delta_home"]] = delta_home_mu + delta_home_sigma *draws_home randcoeff[["delta_travel"]] = delta_travel_mu + delta_travel_sigma *draws_travel randcoeff[["delta_other"]] = delta_other_mu + delta_other_sigma*draws_other return(randcoeff) apollo_probabilities -------------------- function(apollo_beta, apollo_inputs, functionality="estimate"){ ### Attach inputs and detach after function exit apollo_attach(apollo_beta, apollo_inputs) on.exit(apollo_detach(apollo_beta, apollo_inputs)) ### Create list of probabilities P P = list() ### Define individual alternatives alternatives = c("dropOff", "work", "school", "shopping", "privBusi", "petrol", "leisure", "vacation", "exercise", "home", "travel", "other") ### Define availabilities avail = list(dropOff = 1, work = 1, school = 1, shopping = 1, privBusi = 1, petrol = 1, leisure = 1, vacation = 1, exercise = 1, home = 1, travel = 1, other = 1) ### Define continuous consumption for individual alternatives continuousChoice = list(dropOff = t_a01/60, work = t_a02/60, school = t_a03/60, shopping = t_a04/60, privBusi = t_a05/60, petrol = t_a06/60, leisure = t_a07/60, vacation = t_a08/60, exercise = t_a09/60, home = t_a10/60, travel = t_a11/60, other = t_a12/60) ### Define utilities for individual alternatives V = list() V[["dropOff" ]] = delta_dropOff V[["work" ]] = delta_work V[["school" ]] = delta_school V[["shopping"]] = delta_shopping V[["privBusi"]] = delta_privBusiness V[["petrol" ]] = delta_petrol V[["leisure" ]] = delta_leisure V[["vacation"]] = delta_vacation V[["exercise"]] = delta_exercise V[["home" ]] = delta_home V[["travel" ]] = delta_travel V[["other"]] = delta_other ### Define alpha parameters alpha = list(dropOff = 1/(1 + exp(-alpha_base)), work = 1/(1 + exp(-alpha_base)), school = 1/(1 + exp(-alpha_base)), shopping = 1/(1 + exp(-alpha_base)), privBusi = 1/(1 + exp(-alpha_base)), petrol = 1/(1 + exp(-alpha_base)), leisure = 1/(1 + exp(-alpha_base)), vacation = 1/(1 + exp(-alpha_base)), exercise = 1/(1 + exp(-alpha_base)), home = 1/(1 + exp(-alpha_base)), travel = 1/(1 + exp(-alpha_base)), other = 1/(1 + exp(-alpha_base))) ### Define gamma parameters gamma = list(dropOff = gamma_dropOff, work = gamma_work, school = gamma_school, shopping = gamma_shopping, privBusi = gamma_privBusiness, petrol = gamma_petrol, leisure = gamma_leisure, vacation = gamma_vacation, exercise = gamma_exercise, home = gamma_home, travel = gamma_travel, other = gamma_other) ### Define costs for individual alternatives cost = list(dropOff = 1, work = 1, school = 1, shopping = 1, privBusi = 1, petrol = 1, leisure = 1, vacation = 1, exercise = 1, home = 1, travel = 1, other = 1) ### Define budget budget = budget/60 ### Define settings for MDCEV model mdcev_settings <- list(alternatives = alternatives, avail = avail, continuousChoice = continuousChoice, V = V, alpha = alpha, gamma = gamma, sigma = sig, cost = cost, budget = budget) ### Compute probabilities using MDCEV model P[["model"]] = apollo_mdcev(mdcev_settings, functionality) ### Take product across observation for same individual P = apollo_panelProd(P, apollo_inputs, functionality) ### Average across inter-individual draws P = apollo_avgInterDraws(P, apollo_inputs, functionality) ### Prepare and return outputs of function P = apollo_prepareProb(P, apollo_inputs, functionality) return(P)