Model run by stephane.hess using Apollo 0.3.5 on R 4.4.0 for Darwin. Please acknowledge the use of Apollo by citing Hess & Palma (2019) DOI 10.1016/j.jocm.2019.100170 www.ApolloChoiceModelling.com Model name : Mixed_MDCEV Model description : Mixed MDCEV model on time use data, alpha-gamma profile (with alpha=0), no outside good and random constants only in utilities Model run at : 2025-03-10 18:10:34.544118 Estimation method : bgw Model diagnosis : Relative function convergence Optimisation diagnosis : Maximum found hessian properties : Negative definite maximum eigenvalue : -1.128326 reciprocal of condition number : 3.91511e-05 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) : -38429.2 LL at equal shares, LL(0) : NA LL at observed shares, LL(C) : NA LL(final) : -23489.43 Rho-squared vs equal shares : Not applicable Adj.Rho-squared vs equal shares : Not applicable Rho-squared vs observed shares : Not applicable Adj.Rho-squared vs observed shares : Not applicable AIC : 47046.85 BIC : 47249.04 Estimated parameters : 34 Time taken (hh:mm:ss) : 00:16:19.6 pre-estimation : 00:00:14.98 estimation : 00:04:28.2 post-estimation : 00:11:36.42 Iterations : 52 Unconstrained optimisation. Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) alpha_generic 0.00000 NA NA NA NA gamma_dropOff 0.31875 0.03248 9.8143 0.05006 6.3678 gamma_work 5.52670 0.33255 16.6194 0.26472 20.8773 gamma_school 2.22669 0.41918 5.3120 0.36099 6.1683 gamma_shopping 0.39482 0.02548 15.4969 0.02922 13.5116 gamma_privBusiness 0.54418 0.04483 12.1376 0.05773 9.4258 gamma_petrol 0.11234 0.02426 4.6312 0.03113 3.6092 gamma_leisure 1.68172 0.10390 16.1858 0.10527 15.9758 gamma_vacation 1.50057 0.57045 2.6305 0.41060 3.6546 gamma_exercise 2.04172 0.18981 10.7569 0.21075 9.6879 gamma_home 2.63419 0.23519 11.2003 0.39495 6.6696 gamma_travel 0.18971 0.01071 17.7080 0.01120 16.9371 gamma_other 1.64738 0.49026 3.3602 0.79718 2.0665 delta_dropOff_mu -4.39615 0.15846 -27.7431 0.18565 -23.6798 delta_work_mu -2.43449 0.08981 -27.1062 0.13775 -17.6739 delta_school_mu -7.97046 0.53483 -14.9028 0.59473 -13.4018 delta_shopping_mu -2.82993 0.08858 -31.9494 0.13958 -20.2749 delta_privBusiness_mu -3.47563 0.10444 -33.2798 0.14919 -23.2962 delta_petrol_mu -6.06388 0.27944 -21.7005 0.38330 -15.8203 delta_leisure_mu -2.71145 0.08758 -30.9587 0.14024 -19.3349 delta_vacation_mu -7.85745 0.77822 -10.0967 0.89440 -8.7851 delta_exercise_mu -4.25242 0.14358 -29.6162 0.17708 -24.0139 delta_home_mu 0.00000 NA NA NA NA delta_travel_mu -0.03672 0.08937 -0.4108 0.14004 -0.2622 delta_other_mu -5.96471 0.33376 -17.8712 0.37091 -16.0814 delta_dropOff_sigma 1.78793 0.12279 14.5611 0.18159 9.8461 delta_work_sigma 0.73133 0.05976 12.2383 0.06488 11.2720 delta_school_sigma -2.90439 0.32178 -9.0260 0.29926 -9.7051 delta_shopping_sigma -0.57328 0.06913 -8.2922 0.06960 -8.2370 delta_privBusiness_sigma -0.95899 0.08816 -10.8781 0.09512 -10.0820 delta_petrol_sigma -1.18373 0.24967 -4.7411 0.41244 -2.8700 delta_leisure_sigma -0.52174 0.06531 -7.9892 0.06738 -7.7437 delta_vacation_sigma 1.63819 0.54763 2.9914 0.63423 2.5830 delta_exercise_sigma -1.62691 0.11017 -14.7676 0.11310 -14.3847 delta_home_sigma 0.00000 NA NA NA NA delta_travel_sigma -0.25233 0.05080 -4.9675 0.05942 -4.2469 delta_other_sigma 0.84400 0.39232 2.1513 0.42353 1.9928 sig 1.00000 NA NA NA NA Overview of choices for MDCEV model component : dropOff work school shopping privBusi petrol leisure vacation exercise home travel other Times available 2826.00 2826.00 2826.00 2826.0 2826.00 2826.00 2826.00 2826.00 2826.00 2826.00 2826.00 2826.00 Observations in which chosen 394.00 1139.00 85.00 783.0 535.00 66.00 883.00 21.00 420.00 2770.00 2328.00 56.00 Average consumption when available 0.39 2.89 0.11 0.5 0.44 0.03 1.10 0.02 0.73 16.10 1.59 0.10 Average consumption when chosen 2.81 7.17 3.52 1.8 2.34 1.33 3.52 2.75 4.90 16.43 1.93 4.82 Classical covariance matrix: gamma_dropOff gamma_work gamma_school gamma_shopping gamma_dropOff 0.001055 -8.598e-06 -1.326e-05 -7.285e-07 gamma_work -8.598e-06 0.110586 -4.2135e-04 -1.853e-05 gamma_school -1.326e-05 -4.2135e-04 0.175714 -1.855e-05 gamma_shopping -7.285e-07 -1.853e-05 -1.855e-05 6.4910e-04 gamma_privBusiness -3.168e-06 -7.089e-05 -1.665e-05 3.416e-07 gamma_petrol -3.079e-07 -1.082e-05 -1.257e-06 -1.835e-07 gamma_leisure -2.754e-06 -4.3287e-04 -1.7420e-04 -7.036e-06 gamma_vacation 5.687e-06 -1.5016e-04 -1.3146e-04 6.307e-06 gamma_exercise -1.079e-05 -4.6206e-04 -2.1411e-04 -5.069e-06 gamma_home -1.620e-05 -0.005759 -4.7911e-04 -6.700e-07 gamma_travel 1.376e-06 6.343e-05 1.625e-05 1.939e-06 gamma_other -2.222e-06 -7.0348e-04 -7.676e-05 -1.817e-06 delta_dropOff_mu 2.4880e-04 -0.002066 -9.015e-05 -1.277e-06 delta_work_mu -6.805e-06 -0.004328 -1.1853e-04 1.363e-06 delta_school_mu -1.0438e-04 -0.002058 0.022383 -7.256e-05 delta_shopping_mu -5.687e-06 -0.001764 -1.8164e-04 -1.1923e-04 delta_privBusiness_mu -2.132e-05 -0.001784 -2.2598e-04 1.404e-06 delta_petrol_mu -3.142e-05 -0.002639 -1.8067e-04 -4.036e-05 delta_leisure_mu -9.854e-06 -0.001753 -1.9556e-04 1.759e-07 delta_vacation_mu 9.564e-05 -0.004380 -0.002956 1.5987e-04 delta_exercise_mu -1.307e-05 -0.001768 -2.3146e-04 5.398e-06 delta_travel_mu -1.455e-05 -0.002105 -2.2206e-04 -9.985e-06 delta_other_mu 2.062e-06 -0.002933 -9.352e-05 1.006e-05 delta_dropOff_sigma -8.4760e-04 3.4136e-04 5.880e-05 5.057e-06 delta_work_sigma 1.405e-07 -0.005263 7.800e-05 -1.583e-06 delta_school_sigma -6.330e-05 -3.5686e-04 0.019039 -4.061e-05 delta_shopping_sigma -1.580e-05 -8.898e-05 -2.2368e-04 3.2193e-04 delta_privBusiness_sigma -9.075e-06 -3.8389e-04 -1.7837e-04 7.567e-06 delta_petrol_sigma -3.754e-05 -7.7486e-04 -1.3647e-04 -3.559e-05 delta_leisure_sigma -6.735e-06 -2.9464e-04 -2.6542e-04 -1.082e-05 delta_vacation_sigma -8.659e-05 0.001988 0.002130 -1.2826e-04 delta_exercise_sigma -4.585e-06 -6.464e-05 -4.597e-05 3.473e-06 delta_travel_sigma 6.384e-07 2.4986e-04 1.3568e-04 7.644e-06 delta_other_sigma 3.283e-06 0.001499 -1.307e-05 -1.082e-05 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_dropOff -3.168e-06 -3.079e-07 -2.754e-06 5.687e-06 gamma_work -7.089e-05 -1.082e-05 -4.3287e-04 -1.5016e-04 gamma_school -1.665e-05 -1.257e-06 -1.7420e-04 -1.3146e-04 gamma_shopping 3.416e-07 -1.835e-07 -7.036e-06 6.307e-06 gamma_privBusiness 0.002010 -3.453e-07 -8.072e-06 -3.894e-06 gamma_petrol -3.453e-07 5.8845e-04 6.376e-07 -2.444e-06 gamma_leisure -8.072e-06 6.376e-07 0.010795 -5.994e-05 gamma_vacation -3.894e-06 -2.444e-06 -5.994e-05 0.325411 gamma_exercise -8.357e-06 5.157e-07 -2.722e-05 -2.920e-05 gamma_home -4.952e-05 -6.602e-06 -4.8950e-04 -4.2168e-04 gamma_travel 1.635e-06 -2.909e-08 5.896e-06 -7.711e-07 gamma_other -1.025e-05 1.502e-07 -3.918e-05 -1.5001e-04 delta_dropOff_mu -4.223e-05 -7.928e-06 -2.2416e-04 9.127e-05 delta_work_mu -2.081e-05 -8.879e-07 -1.8522e-04 -1.6029e-04 delta_school_mu -1.0113e-04 2.226e-05 -6.2631e-04 -0.001110 delta_shopping_mu -1.593e-05 -3.261e-06 -1.5029e-04 -1.1759e-04 delta_privBusiness_mu -4.742e-05 -5.688e-06 -1.4235e-04 -7.320e-05 delta_petrol_mu -5.109e-05 3.1243e-04 -1.2738e-04 -4.4836e-04 delta_leisure_mu -1.180e-05 -1.919e-06 -6.3540e-04 -1.4111e-04 delta_vacation_mu -4.523e-05 -6.103e-05 -2.1170e-04 0.021863 delta_exercise_mu -3.151e-06 -6.116e-06 -1.8649e-04 -6.053e-05 delta_travel_mu -2.622e-05 -2.831e-06 -1.9392e-04 -1.3612e-04 delta_other_mu -4.974e-05 1.729e-06 3.589e-08 9.117e-05 delta_dropOff_sigma 1.298e-05 5.802e-06 1.950e-05 -1.1847e-04 delta_work_sigma 2.231e-05 4.196e-06 5.668e-05 9.547e-05 delta_school_sigma -2.916e-05 3.007e-05 -2.115e-05 -2.9326e-04 delta_shopping_sigma -3.420e-07 -1.553e-06 -4.722e-05 1.0783e-04 delta_privBusiness_sigma 6.5182e-04 -2.206e-06 -4.385e-05 4.387e-05 delta_petrol_sigma -4.662e-05 4.4993e-04 7.008e-05 -3.3493e-04 delta_leisure_sigma 8.991e-06 1.623e-06 0.001546 -6.616e-06 delta_vacation_sigma 2.411e-05 4.260e-05 6.587e-05 -0.018708 delta_exercise_sigma -2.352e-05 1.074e-06 -1.241e-05 4.860e-05 delta_travel_sigma -1.130e-05 -1.539e-06 8.104e-06 7.041e-06 delta_other_sigma 4.049e-05 -4.588e-06 -1.7567e-04 -2.8648e-04 gamma_exercise gamma_home gamma_travel gamma_other gamma_dropOff -1.079e-05 -1.620e-05 1.376e-06 -2.222e-06 gamma_work -4.6206e-04 -0.005759 6.343e-05 -7.0348e-04 gamma_school -2.1411e-04 -4.7911e-04 1.625e-05 -7.676e-05 gamma_shopping -5.069e-06 -6.700e-07 1.939e-06 -1.817e-06 gamma_privBusiness -8.357e-06 -4.952e-05 1.635e-06 -1.025e-05 gamma_petrol 5.157e-07 -6.602e-06 -2.909e-08 1.502e-07 gamma_leisure -2.722e-05 -4.8950e-04 5.896e-06 -3.918e-05 gamma_vacation -2.920e-05 -4.2168e-04 -7.711e-07 -1.5001e-04 gamma_exercise 0.036026 -8.6908e-04 1.415e-05 -6.867e-05 gamma_home -8.6908e-04 0.055314 2.171e-05 -6.2629e-04 gamma_travel 1.415e-05 2.171e-05 1.1478e-04 -1.127e-05 gamma_other -6.867e-05 -6.2629e-04 -1.127e-05 0.240357 delta_dropOff_mu -4.0405e-04 0.016728 -1.699e-06 3.164e-05 delta_work_mu -3.3840e-04 0.016940 4.083e-06 -2.4874e-04 delta_school_mu -4.8260e-04 0.017369 5.999e-05 -6.0336e-04 delta_shopping_mu -2.6359e-04 0.016832 2.241e-06 -1.8072e-04 delta_privBusiness_mu -2.5540e-04 0.016835 7.414e-06 -1.6075e-04 delta_petrol_mu -3.6639e-04 0.016381 -7.729e-06 -9.841e-05 delta_leisure_mu -2.5956e-04 0.016893 4.629e-06 -1.7857e-04 delta_vacation_mu -5.8318e-04 0.016408 3.015e-05 2.5689e-04 delta_exercise_mu 7.3572e-04 0.017074 2.245e-05 -2.8776e-04 delta_travel_mu -3.6062e-04 0.016766 -4.5333e-04 -1.5407e-04 delta_other_mu -7.1290e-04 0.016651 -9.486e-05 0.006324 delta_dropOff_sigma 1.3985e-04 -1.6603e-04 4.371e-06 -2.7142e-04 delta_work_sigma 8.766e-05 -1.763e-05 -2.009e-05 1.1246e-04 delta_school_sigma 2.2416e-04 2.2566e-04 5.955e-05 -3.3588e-04 delta_shopping_sigma -3.685e-06 1.3907e-04 8.265e-06 1.244e-05 delta_privBusiness_sigma 6.137e-05 8.911e-05 3.233e-06 1.290e-05 delta_petrol_sigma -3.816e-05 -5.9128e-04 -1.873e-05 1.5687e-04 delta_leisure_sigma 2.127e-05 7.632e-05 3.854e-06 3.195e-05 delta_vacation_sigma 2.4581e-04 3.7220e-04 -1.673e-05 -3.3947e-04 delta_exercise_sigma 0.004233 5.0376e-04 2.101e-05 -1.0761e-04 delta_travel_sigma 6.307e-05 7.3600e-04 1.5262e-04 -1.6098e-04 delta_other_sigma 5.9358e-04 2.9757e-04 1.3649e-04 -0.009968 delta_dropOff_mu delta_work_mu delta_school_mu delta_shopping_mu gamma_dropOff 2.4880e-04 -6.805e-06 -1.0438e-04 -5.687e-06 gamma_work -0.002066 -0.004328 -0.002058 -0.001764 gamma_school -9.015e-05 -1.1853e-04 0.022383 -1.8164e-04 gamma_shopping -1.277e-06 1.363e-06 -7.256e-05 -1.1923e-04 gamma_privBusiness -4.223e-05 -2.081e-05 -1.0113e-04 -1.593e-05 gamma_petrol -7.928e-06 -8.879e-07 2.226e-05 -3.261e-06 gamma_leisure -2.2416e-04 -1.8522e-04 -6.2631e-04 -1.5029e-04 gamma_vacation 9.127e-05 -1.6029e-04 -0.001110 -1.1759e-04 gamma_exercise -4.0405e-04 -3.3840e-04 -4.8260e-04 -2.6359e-04 gamma_home 0.016728 0.016940 0.017369 0.016832 gamma_travel -1.699e-06 4.083e-06 5.999e-05 2.241e-06 gamma_other 3.164e-05 -2.4874e-04 -6.0336e-04 -1.8072e-04 delta_dropOff_mu 0.025109 0.005502 0.004477 0.005552 delta_work_mu 0.005502 0.008066 0.006001 0.005543 delta_school_mu 0.004477 0.006001 0.286041 0.005720 delta_shopping_mu 0.005552 0.005543 0.005720 0.007846 delta_privBusiness_mu 0.005567 0.005533 0.005214 0.005499 delta_petrol_mu 0.004554 0.005632 0.007861 0.005249 delta_leisure_mu 0.005482 0.005538 0.005280 0.005534 delta_vacation_mu 0.008444 0.004973 -0.014698 0.005636 delta_exercise_mu 0.005403 0.005507 0.005253 0.005608 delta_travel_mu 0.005509 0.005556 0.005436 0.005522 delta_other_mu 0.007627 0.004673 0.001396 0.005472 delta_dropOff_sigma -0.012110 1.1231e-04 0.002234 -5.227e-05 delta_work_sigma 1.1818e-04 -7.7386e-04 -1.7185e-04 -5.885e-06 delta_school_sigma -2.8062e-04 -1.6531e-04 0.155438 2.1211e-04 delta_shopping_sigma 3.736e-05 -2.103e-05 -9.6504e-04 0.001047 delta_privBusiness_sigma 7.980e-05 -1.4434e-04 -0.001191 4.615e-05 delta_petrol_sigma -8.8347e-04 -6.933e-05 0.002989 -3.1236e-04 delta_leisure_sigma -1.3807e-04 -1.1037e-04 -0.001025 4.452e-05 delta_vacation_sigma -0.002600 4.7769e-04 0.015078 -3.269e-05 delta_exercise_sigma 8.750e-05 9.908e-05 0.001395 1.8304e-04 delta_travel_sigma 2.1388e-04 3.6175e-04 0.001329 2.7120e-04 delta_other_sigma -0.002968 0.001108 0.005864 7.530e-05 delta_privBusiness_mu delta_petrol_mu delta_leisure_mu delta_vacation_mu gamma_dropOff -2.132e-05 -3.142e-05 -9.854e-06 9.564e-05 gamma_work -0.001784 -0.002639 -0.001753 -0.004380 gamma_school -2.2598e-04 -1.8067e-04 -1.9556e-04 -0.002956 gamma_shopping 1.404e-06 -4.036e-05 1.759e-07 1.5987e-04 gamma_privBusiness -4.742e-05 -5.109e-05 -1.180e-05 -4.523e-05 gamma_petrol -5.688e-06 3.1243e-04 -1.919e-06 -6.103e-05 gamma_leisure -1.4235e-04 -1.2738e-04 -6.3540e-04 -2.1170e-04 gamma_vacation -7.320e-05 -4.4836e-04 -1.4111e-04 0.021863 gamma_exercise -2.5540e-04 -3.6639e-04 -2.5956e-04 -5.8318e-04 gamma_home 0.016835 0.016381 0.016893 0.016408 gamma_travel 7.414e-06 -7.729e-06 4.629e-06 3.015e-05 gamma_other -1.6075e-04 -9.841e-05 -1.7857e-04 2.5689e-04 delta_dropOff_mu 0.005567 0.004554 0.005482 0.008444 delta_work_mu 0.005533 0.005632 0.005538 0.004973 delta_school_mu 0.005214 0.007861 0.005280 -0.014698 delta_shopping_mu 0.005499 0.005249 0.005534 0.005636 delta_privBusiness_mu 0.010907 0.004977 0.005541 0.006537 delta_petrol_mu 0.004977 0.078084 0.005381 -0.001900 delta_leisure_mu 0.005541 0.005381 0.007671 0.005132 delta_vacation_mu 0.006537 -0.001900 0.005132 0.605621 delta_exercise_mu 0.005601 0.004900 0.005607 0.007294 delta_travel_mu 0.005507 0.005333 0.005540 0.005181 delta_other_mu 0.005791 0.006409 0.005617 0.009476 delta_dropOff_sigma -4.315e-06 5.7818e-04 -2.358e-05 -0.001847 delta_work_sigma 3.074e-05 4.2626e-04 2.710e-06 0.001816 delta_school_sigma -9.967e-05 0.002331 1.8494e-04 -0.006340 delta_shopping_sigma 5.791e-05 -2.5502e-04 2.972e-05 0.002163 delta_privBusiness_sigma 0.003082 -2.2715e-04 1.742e-05 0.001323 delta_petrol_sigma -6.2075e-04 0.057173 -2.3303e-04 -0.007850 delta_leisure_sigma 1.1370e-04 1.2609e-04 0.001017 3.5171e-04 delta_vacation_sigma -8.5568e-04 0.005277 2.8048e-04 -0.402082 delta_exercise_sigma 3.549e-05 3.777e-05 1.4999e-04 0.001225 delta_travel_sigma 2.7180e-04 5.885e-05 3.3103e-04 0.001085 delta_other_sigma -4.0666e-04 -0.001427 -5.917e-05 -0.005358 delta_exercise_mu delta_travel_mu delta_other_mu delta_dropOff_sigma gamma_dropOff -1.307e-05 -1.455e-05 2.062e-06 -8.4760e-04 gamma_work -0.001768 -0.002105 -0.002933 3.4136e-04 gamma_school -2.3146e-04 -2.2206e-04 -9.352e-05 5.880e-05 gamma_shopping 5.398e-06 -9.985e-06 1.006e-05 5.057e-06 gamma_privBusiness -3.151e-06 -2.622e-05 -4.974e-05 1.298e-05 gamma_petrol -6.116e-06 -2.831e-06 1.729e-06 5.802e-06 gamma_leisure -1.8649e-04 -1.9392e-04 3.589e-08 1.950e-05 gamma_vacation -6.053e-05 -1.3612e-04 9.117e-05 -1.1847e-04 gamma_exercise 7.3572e-04 -3.6062e-04 -7.1290e-04 1.3985e-04 gamma_home 0.017074 0.016766 0.016651 -1.6603e-04 gamma_travel 2.245e-05 -4.5333e-04 -9.486e-05 4.371e-06 gamma_other -2.8776e-04 -1.5407e-04 0.006324 -2.7142e-04 delta_dropOff_mu 0.005403 0.005509 0.007627 -0.012110 delta_work_mu 0.005507 0.005556 0.004673 1.1231e-04 delta_school_mu 0.005253 0.005436 0.001396 0.002234 delta_shopping_mu 0.005608 0.005522 0.005472 -5.227e-05 delta_privBusiness_mu 0.005601 0.005507 0.005791 -4.315e-06 delta_petrol_mu 0.004900 0.005333 0.006409 5.7818e-04 delta_leisure_mu 0.005607 0.005540 0.005617 -2.358e-05 delta_vacation_mu 0.007294 0.005181 0.009476 -0.001847 delta_exercise_mu 0.020616 0.005525 0.004604 -2.253e-05 delta_travel_mu 0.005525 0.007987 0.005786 -6.720e-05 delta_other_mu 0.004604 0.005786 0.111397 -0.002974 delta_dropOff_sigma -2.253e-05 -6.720e-05 -0.002974 0.015077 delta_work_sigma -1.4934e-04 4.060e-05 9.1292e-04 -2.4350e-04 delta_school_sigma -8.0456e-04 -2.8723e-04 -0.003523 9.7840e-04 delta_shopping_sigma 2.1531e-04 6.519e-06 2.4090e-04 -5.871e-05 delta_privBusiness_sigma 1.9043e-04 -3.055e-05 2.6718e-04 -1.4399e-04 delta_petrol_sigma -6.6219e-04 -2.0033e-04 0.001622 7.1274e-04 delta_leisure_sigma -6.920e-06 4.937e-06 3.7582e-04 4.199e-05 delta_vacation_sigma -0.001451 2.3476e-04 -0.003029 0.001548 delta_exercise_sigma 0.008938 6.279e-05 -0.001007 3.4604e-04 delta_travel_sigma 5.6083e-04 -3.2046e-04 -0.001273 6.278e-05 delta_other_sigma 0.001443 -3.8651e-04 -0.114872 0.003980 delta_work_sigma delta_school_sigma delta_shopping_sigma delta_privBusiness_sigma gamma_dropOff 1.405e-07 -6.330e-05 -1.580e-05 -9.075e-06 gamma_work -0.005263 -3.5686e-04 -8.898e-05 -3.8389e-04 gamma_school 7.800e-05 0.019039 -2.2368e-04 -1.7837e-04 gamma_shopping -1.583e-06 -4.061e-05 3.2193e-04 7.567e-06 gamma_privBusiness 2.231e-05 -2.916e-05 -3.420e-07 6.5182e-04 gamma_petrol 4.196e-06 3.007e-05 -1.553e-06 -2.206e-06 gamma_leisure 5.668e-05 -2.115e-05 -4.722e-05 -4.385e-05 gamma_vacation 9.547e-05 -2.9326e-04 1.0783e-04 4.387e-05 gamma_exercise 8.766e-05 2.2416e-04 -3.685e-06 6.137e-05 gamma_home -1.763e-05 2.2566e-04 1.3907e-04 8.911e-05 gamma_travel -2.009e-05 5.955e-05 8.265e-06 3.233e-06 gamma_other 1.1246e-04 -3.3588e-04 1.244e-05 1.290e-05 delta_dropOff_mu 1.1818e-04 -2.8062e-04 3.736e-05 7.980e-05 delta_work_mu -7.7386e-04 -1.6531e-04 -2.103e-05 -1.4434e-04 delta_school_mu -1.7185e-04 0.155438 -9.6504e-04 -0.001191 delta_shopping_mu -5.885e-06 2.1211e-04 0.001047 4.615e-05 delta_privBusiness_mu 3.074e-05 -9.967e-05 5.791e-05 0.003082 delta_petrol_mu 4.2626e-04 0.002331 -2.5502e-04 -2.2715e-04 delta_leisure_mu 2.710e-06 1.8494e-04 2.972e-05 1.742e-05 delta_vacation_mu 0.001816 -0.006340 0.002163 0.001323 delta_exercise_mu -1.4934e-04 -8.0456e-04 2.1531e-04 1.9043e-04 delta_travel_mu 4.060e-05 -2.8723e-04 6.519e-06 -3.055e-05 delta_other_mu 9.1292e-04 -0.003523 2.4090e-04 2.6718e-04 delta_dropOff_sigma -2.4350e-04 9.7840e-04 -5.871e-05 -1.4399e-04 delta_work_sigma 0.003571 8.038e-05 1.2311e-04 3.5827e-04 delta_school_sigma 8.038e-05 0.103543 -4.8416e-04 -4.7433e-04 delta_shopping_sigma 1.2311e-04 -4.8416e-04 0.004780 7.914e-05 delta_privBusiness_sigma 3.5827e-04 -4.7433e-04 7.914e-05 0.007772 delta_petrol_sigma 4.0006e-04 0.003377 -2.7076e-04 -3.6971e-04 delta_leisure_sigma 2.0547e-04 -3.276e-05 -6.789e-05 1.6679e-04 delta_vacation_sigma -0.001412 0.004632 -0.001696 -8.9678e-04 delta_exercise_sigma -2.407e-05 0.001431 5.188e-05 -2.2061e-04 delta_travel_sigma -3.1137e-04 9.2660e-04 1.1608e-04 -9.095e-05 delta_other_sigma -0.001217 0.004985 -2.7857e-04 -3.4018e-04 delta_petrol_sigma delta_leisure_sigma delta_vacation_sigma delta_exercise_sigma gamma_dropOff -3.754e-05 -6.735e-06 -8.659e-05 -4.585e-06 gamma_work -7.7486e-04 -2.9464e-04 0.001988 -6.464e-05 gamma_school -1.3647e-04 -2.6542e-04 0.002130 -4.597e-05 gamma_shopping -3.559e-05 -1.082e-05 -1.2826e-04 3.473e-06 gamma_privBusiness -4.662e-05 8.991e-06 2.411e-05 -2.352e-05 gamma_petrol 4.4993e-04 1.623e-06 4.260e-05 1.074e-06 gamma_leisure 7.008e-05 0.001546 6.587e-05 -1.241e-05 gamma_vacation -3.3493e-04 -6.616e-06 -0.018708 4.860e-05 gamma_exercise -3.816e-05 2.127e-05 2.4581e-04 0.004233 gamma_home -5.9128e-04 7.632e-05 3.7220e-04 5.0376e-04 gamma_travel -1.873e-05 3.854e-06 -1.673e-05 2.101e-05 gamma_other 1.5687e-04 3.195e-05 -3.3947e-04 -1.0761e-04 delta_dropOff_mu -8.8347e-04 -1.3807e-04 -0.002600 8.750e-05 delta_work_mu -6.933e-05 -1.1037e-04 4.7769e-04 9.908e-05 delta_school_mu 0.002989 -0.001025 0.015078 0.001395 delta_shopping_mu -3.1236e-04 4.452e-05 -3.269e-05 1.8304e-04 delta_privBusiness_mu -6.2075e-04 1.1370e-04 -8.5568e-04 3.549e-05 delta_petrol_mu 0.057173 1.2609e-04 0.005277 3.777e-05 delta_leisure_mu -2.3303e-04 0.001017 2.8048e-04 1.4999e-04 delta_vacation_mu -0.007850 3.5171e-04 -0.402082 0.001225 delta_exercise_mu -6.6219e-04 -6.920e-06 -0.001451 0.008938 delta_travel_mu -2.0033e-04 4.937e-06 2.3476e-04 6.279e-05 delta_other_mu 0.001622 3.7582e-04 -0.003029 -0.001007 delta_dropOff_sigma 7.1274e-04 4.199e-05 0.001548 3.4604e-04 delta_work_sigma 4.0006e-04 2.0547e-04 -0.001412 -2.407e-05 delta_school_sigma 0.003377 -3.276e-05 0.004632 0.001431 delta_shopping_sigma -2.7076e-04 -6.789e-05 -0.001696 5.188e-05 delta_privBusiness_sigma -3.6971e-04 1.6679e-04 -8.9678e-04 -2.2061e-04 delta_petrol_sigma 0.062337 2.0477e-04 0.005669 -1.8895e-04 delta_leisure_sigma 2.0477e-04 0.004265 -1.9112e-04 -9.695e-05 delta_vacation_sigma 0.005669 -1.9112e-04 0.299896 -0.001015 delta_exercise_sigma -1.8895e-04 -9.695e-05 -0.001015 0.012137 delta_travel_sigma -3.2558e-04 1.3741e-04 -5.7864e-04 3.0994e-04 delta_other_sigma -0.002447 -5.0164e-04 0.004075 0.001592 delta_travel_sigma delta_other_sigma gamma_dropOff 6.384e-07 3.283e-06 gamma_work 2.4986e-04 0.001499 gamma_school 1.3568e-04 -1.307e-05 gamma_shopping 7.644e-06 -1.082e-05 gamma_privBusiness -1.130e-05 4.049e-05 gamma_petrol -1.539e-06 -4.588e-06 gamma_leisure 8.104e-06 -1.7567e-04 gamma_vacation 7.041e-06 -2.8648e-04 gamma_exercise 6.307e-05 5.9358e-04 gamma_home 7.3600e-04 2.9757e-04 gamma_travel 1.5262e-04 1.3649e-04 gamma_other -1.6098e-04 -0.009968 delta_dropOff_mu 2.1388e-04 -0.002968 delta_work_mu 3.6175e-04 0.001108 delta_school_mu 0.001329 0.005864 delta_shopping_mu 2.7120e-04 7.530e-05 delta_privBusiness_mu 2.7180e-04 -4.0666e-04 delta_petrol_mu 5.885e-05 -0.001427 delta_leisure_mu 3.3103e-04 -5.917e-05 delta_vacation_mu 0.001085 -0.005358 delta_exercise_mu 5.6083e-04 0.001443 delta_travel_mu -3.2046e-04 -3.8651e-04 delta_other_mu -0.001273 -0.114872 delta_dropOff_sigma 6.278e-05 0.003980 delta_work_sigma -3.1137e-04 -0.001217 delta_school_sigma 9.2660e-04 0.004985 delta_shopping_sigma 1.1608e-04 -2.7857e-04 delta_privBusiness_sigma -9.095e-05 -3.4018e-04 delta_petrol_sigma -3.2558e-04 -0.002447 delta_leisure_sigma 1.3741e-04 -5.0164e-04 delta_vacation_sigma -5.7864e-04 0.004075 delta_exercise_sigma 3.0994e-04 0.001592 delta_travel_sigma 0.002580 0.002125 delta_other_sigma 0.002125 0.153918 Robust covariance matrix: gamma_dropOff gamma_work gamma_school gamma_shopping gamma_dropOff 0.002506 -9.3349e-04 -9.4257e-04 9.693e-05 gamma_work -9.3349e-04 0.070078 0.013235 -3.2852e-04 gamma_school -9.4257e-04 0.013235 0.130313 -3.5817e-04 gamma_shopping 9.693e-05 -3.2852e-04 -3.5817e-04 8.5385e-04 gamma_privBusiness 3.863e-05 -4.1266e-04 3.7284e-04 6.618e-05 gamma_petrol 1.2788e-04 -4.5823e-04 -0.001266 4.838e-05 gamma_leisure 1.2774e-04 0.003174 -6.147e-05 3.3008e-04 gamma_vacation -3.3997e-04 0.002372 -0.002085 3.6545e-04 gamma_exercise 8.7360e-04 -0.004367 -0.001416 1.2909e-04 gamma_home 0.003434 -0.015156 -0.023778 0.001337 gamma_travel -5.424e-06 -3.6147e-04 -1.7329e-04 5.943e-06 gamma_other 0.002967 -0.010953 0.002201 0.002889 delta_dropOff_mu 8.5689e-04 -0.001397 -0.002720 -1.8862e-04 delta_work_mu 0.001089 -0.007000 -0.008666 4.9664e-04 delta_school_mu 0.002574 -0.011716 0.010565 8.7040e-04 delta_shopping_mu 0.001393 -0.003638 -0.007725 2.3967e-04 delta_privBusiness_mu 8.1865e-04 -0.004427 -0.006880 3.0993e-04 delta_petrol_mu 0.002007 -0.007284 -0.010807 9.499e-05 delta_leisure_mu 0.001152 -0.003714 -0.007689 3.5387e-04 delta_vacation_mu 2.8697e-04 -0.019760 8.8657e-04 3.2324e-04 delta_exercise_mu 0.001209 -5.6232e-04 -0.007506 2.9625e-04 delta_travel_mu 0.001258 -0.003155 -0.007076 3.3540e-04 delta_other_mu 0.001028 0.001501 -0.002732 3.8792e-04 delta_dropOff_sigma 4.366e-05 -0.003979 -0.015993 1.9183e-04 delta_work_sigma 1.777e-05 -0.006325 -1.0283e-04 -4.510e-05 delta_school_sigma 2.8729e-04 -0.001950 0.024369 -3.339e-05 delta_shopping_sigma 9.596e-06 0.002046 8.3995e-04 4.3339e-04 delta_privBusiness_sigma -6.5916e-04 -0.001162 0.001655 -3.657e-05 delta_petrol_sigma 6.6360e-04 -0.001676 0.002626 -1.5925e-04 delta_leisure_sigma -3.6039e-04 0.002043 -0.002056 -2.0976e-04 delta_vacation_sigma 6.0729e-04 0.014467 -0.005612 1.5934e-04 delta_exercise_sigma 2.2729e-04 0.001879 -0.001488 3.000e-05 delta_travel_sigma -6.462e-05 -5.541e-05 5.2421e-04 -5.752e-05 delta_other_sigma 2.9354e-04 -0.008095 -0.006130 -2.5570e-04 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_dropOff 3.863e-05 1.2788e-04 1.2774e-04 -3.3997e-04 gamma_work -4.1266e-04 -4.5823e-04 0.003174 0.002372 gamma_school 3.7284e-04 -0.001266 -6.147e-05 -0.002085 gamma_shopping 6.618e-05 4.838e-05 3.3008e-04 3.6545e-04 gamma_privBusiness 0.003333 8.572e-06 -1.0332e-04 0.001387 gamma_petrol 8.572e-06 9.6887e-04 1.5964e-04 7.234e-05 gamma_leisure -1.0332e-04 1.5964e-04 0.011081 4.0981e-04 gamma_vacation 0.001387 7.234e-05 4.0981e-04 0.168591 gamma_exercise -7.2210e-04 4.9410e-04 -3.8990e-04 0.002288 gamma_home 7.0635e-04 0.002652 0.005006 -0.004522 gamma_travel 4.712e-05 1.292e-06 -4.503e-05 9.208e-05 gamma_other 0.006522 0.001405 8.0245e-04 0.010825 delta_dropOff_mu -5.2026e-04 4.4353e-04 0.001913 -0.005217 delta_work_mu -1.1107e-04 0.001209 0.001300 -0.001239 delta_school_mu 0.001882 0.002184 -0.004986 -0.022785 delta_shopping_mu -1.0644e-04 6.6426e-04 0.001046 -0.002324 delta_privBusiness_mu 2.1737e-04 8.3878e-04 8.8103e-04 -0.003327 delta_petrol_mu -3.8073e-04 -0.003162 0.001028 0.002412 delta_leisure_mu 3.314e-05 8.1879e-04 6.0202e-04 -0.003818 delta_vacation_mu 7.9739e-04 0.001227 -0.001755 -0.054720 delta_exercise_mu -5.256e-05 6.7826e-04 0.001137 -0.001576 delta_travel_mu -1.3066e-04 9.5564e-04 0.001394 -0.003348 delta_other_mu 0.003095 0.001724 0.002834 0.002686 delta_dropOff_sigma 5.1699e-04 0.001098 -0.001327 0.001744 delta_work_sigma 3.3061e-04 -5.999e-05 -9.198e-05 -0.001581 delta_school_sigma 5.0672e-04 3.341e-05 -0.002386 -0.009772 delta_shopping_sigma -3.6405e-04 -1.7098e-04 2.8795e-04 -7.9456e-04 delta_privBusiness_sigma 2.7823e-04 -1.7410e-04 -4.8712e-04 -2.5355e-04 delta_petrol_sigma -5.5484e-04 -0.006182 0.001276 0.003332 delta_leisure_sigma 1.6118e-04 4.154e-05 0.002204 -1.1607e-04 delta_vacation_sigma -6.9068e-04 -3.1887e-04 7.5753e-04 0.041183 delta_exercise_sigma -2.2751e-04 -1.4462e-04 1.9370e-04 5.0278e-04 delta_travel_sigma -3.3433e-04 1.9561e-04 -6.1114e-04 -0.001371 delta_other_sigma -0.003343 -6.4307e-04 -7.3519e-04 -0.005251 gamma_exercise gamma_home gamma_travel gamma_other gamma_dropOff 8.7360e-04 0.003434 -5.424e-06 0.002967 gamma_work -0.004367 -0.015156 -3.6147e-04 -0.010953 gamma_school -0.001416 -0.023778 -1.7329e-04 0.002201 gamma_shopping 1.2909e-04 0.001337 5.943e-06 0.002889 gamma_privBusiness -7.2210e-04 7.0635e-04 4.712e-05 0.006522 gamma_petrol 4.9410e-04 0.002652 1.292e-06 0.001405 gamma_leisure -3.8990e-04 0.005006 -4.503e-05 8.0245e-04 gamma_vacation 0.002288 -0.004522 9.208e-05 0.010825 gamma_exercise 0.044416 0.004599 1.2308e-04 -0.005509 gamma_home 0.004599 0.155988 3.5295e-04 0.054608 gamma_travel 1.2308e-04 3.5295e-04 1.2546e-04 7.1843e-04 gamma_other -0.005509 0.054608 7.1843e-04 0.635500 delta_dropOff_mu -0.003707 0.034010 -2.1762e-04 0.006560 delta_work_mu 0.002058 0.047648 1.524e-05 0.014239 delta_school_mu 0.001463 0.093769 -3.6854e-04 0.029424 delta_shopping_mu 0.001129 0.050161 -7.133e-05 0.013998 delta_privBusiness_mu 8.6356e-04 0.049791 -9.674e-05 0.019039 delta_petrol_mu 2.9684e-04 0.054559 -8.214e-05 0.032857 delta_leisure_mu 8.8386e-04 0.050207 -5.497e-05 0.013725 delta_vacation_mu 0.002863 0.041035 -2.0240e-04 0.052662 delta_exercise_mu 8.4082e-04 0.046172 -1.0848e-04 0.003036 delta_travel_mu 0.001182 0.047386 -5.5812e-04 0.012121 delta_other_mu -1.1267e-04 0.048348 -2.1204e-04 7.1128e-04 delta_dropOff_sigma 0.002250 0.028440 7.749e-05 -6.8852e-04 delta_work_sigma -6.715e-05 9.3051e-04 -1.422e-05 0.002323 delta_school_sigma -0.002549 0.010558 -1.4951e-04 0.003681 delta_shopping_sigma 2.3254e-04 -1.0475e-04 1.288e-05 9.7820e-04 delta_privBusiness_sigma 0.001092 -7.6379e-04 6.575e-06 0.001646 delta_petrol_sigma -1.8004e-04 -0.001535 -1.883e-05 0.008565 delta_leisure_sigma -0.001330 -0.003280 7.732e-06 -7.4110e-04 delta_vacation_sigma 5.916e-05 0.006114 3.8508e-04 -0.023366 delta_exercise_sigma 0.002629 -0.004848 1.923e-06 -0.009703 delta_travel_sigma 1.4223e-04 -7.1415e-04 -8.007e-06 -0.001250 delta_other_sigma 0.002461 0.015748 5.6001e-04 0.036828 delta_dropOff_mu delta_work_mu delta_school_mu delta_shopping_mu gamma_dropOff 8.5689e-04 0.001089 0.002574 0.001393 gamma_work -0.001397 -0.007000 -0.011716 -0.003638 gamma_school -0.002720 -0.008666 0.010565 -0.007725 gamma_shopping -1.8862e-04 4.9664e-04 8.7040e-04 2.3967e-04 gamma_privBusiness -5.2026e-04 -1.1107e-04 0.001882 -1.0644e-04 gamma_petrol 4.4353e-04 0.001209 0.002184 6.6426e-04 gamma_leisure 0.001913 0.001300 -0.004986 0.001046 gamma_vacation -0.005217 -0.001239 -0.022785 -0.002324 gamma_exercise -0.003707 0.002058 0.001463 0.001129 gamma_home 0.034010 0.047648 0.093769 0.050161 gamma_travel -2.1762e-04 1.524e-05 -3.6854e-04 -7.133e-05 gamma_other 0.006560 0.014239 0.029424 0.013998 delta_dropOff_mu 0.034466 0.010260 0.007398 0.012524 delta_work_mu 0.010260 0.018974 0.027988 0.015600 delta_school_mu 0.007398 0.027988 0.353703 0.028013 delta_shopping_mu 0.012524 0.015600 0.028013 0.019482 delta_privBusiness_mu 0.011652 0.014884 0.030949 0.016935 delta_petrol_mu 0.010029 0.014919 0.052019 0.019420 delta_leisure_mu 0.012530 0.015947 0.029934 0.017352 delta_vacation_mu 0.022808 0.006421 0.029057 0.017296 delta_exercise_mu 0.009751 0.014580 0.036571 0.016197 delta_travel_mu 0.012735 0.016441 0.032026 0.017046 delta_other_mu 0.022364 0.014316 0.007972 0.017299 delta_dropOff_sigma -0.013409 0.010714 0.038551 0.008964 delta_work_sigma 0.001122 -0.002122 0.001648 -1.7561e-04 delta_school_sigma -8.6555e-04 0.002857 0.148480 0.002496 delta_shopping_sigma 7.7407e-04 -4.0209e-04 -0.002561 0.001352 delta_privBusiness_sigma 2.1457e-04 -8.9546e-04 -0.005143 -2.4285e-04 delta_petrol_sigma -0.004181 -0.004913 0.017984 -3.3103e-04 delta_leisure_sigma -3.2725e-04 -0.001362 -0.005668 -7.4841e-04 delta_vacation_sigma -0.011930 0.006339 0.007915 -8.9681e-04 delta_exercise_sigma -0.001417 -0.001274 7.5962e-04 -0.001266 delta_travel_sigma 4.036e-05 0.001123 0.002736 5.0088e-04 delta_other_sigma -0.008921 0.007329 0.032080 0.004329 delta_privBusiness_mu delta_petrol_mu delta_leisure_mu delta_vacation_mu gamma_dropOff 8.1865e-04 0.002007 0.001152 2.8697e-04 gamma_work -0.004427 -0.007284 -0.003714 -0.019760 gamma_school -0.006880 -0.010807 -0.007689 8.8657e-04 gamma_shopping 3.0993e-04 9.499e-05 3.5387e-04 3.2324e-04 gamma_privBusiness 2.1737e-04 -3.8073e-04 3.314e-05 7.9739e-04 gamma_petrol 8.3878e-04 -0.003162 8.1879e-04 0.001227 gamma_leisure 8.8103e-04 0.001028 6.0202e-04 -0.001755 gamma_vacation -0.003327 0.002412 -0.003818 -0.054720 gamma_exercise 8.6356e-04 2.9684e-04 8.8386e-04 0.002863 gamma_home 0.049791 0.054559 0.050207 0.041035 gamma_travel -9.674e-05 -8.214e-05 -5.497e-05 -2.0240e-04 gamma_other 0.019039 0.032857 0.013725 0.052662 delta_dropOff_mu 0.011652 0.010029 0.012530 0.022808 delta_work_mu 0.014884 0.014919 0.015947 0.006421 delta_school_mu 0.030949 0.052019 0.029934 0.029057 delta_shopping_mu 0.016935 0.019420 0.017352 0.017296 delta_privBusiness_mu 0.022259 0.019741 0.017211 0.013673 delta_petrol_mu 0.019741 0.146918 0.018178 -7.9392e-04 delta_leisure_mu 0.017211 0.018178 0.019666 0.017416 delta_vacation_mu 0.013673 -7.9392e-04 0.017416 0.799956 delta_exercise_mu 0.015974 0.015729 0.015678 0.005886 delta_travel_mu 0.016978 0.017476 0.017288 0.014280 delta_other_mu 0.018230 0.007193 0.016889 0.047676 delta_dropOff_sigma 0.009927 0.016476 0.009206 -0.003702 delta_work_sigma 8.1428e-04 0.001776 -1.6051e-04 0.009133 delta_school_sigma 0.003177 0.016470 0.003512 0.014157 delta_shopping_sigma 4.6828e-04 -5.643e-05 2.6501e-04 0.010738 delta_privBusiness_sigma 0.003062 0.001574 -1.0013e-04 0.003084 delta_petrol_sigma 8.9006e-04 0.132049 -0.001604 -0.021688 delta_leisure_sigma -9.3397e-04 -1.6235e-04 1.3714e-04 -0.003889 delta_vacation_sigma 0.001012 0.014175 3.9993e-04 -0.539410 delta_exercise_sigma -0.002125 -0.002150 -0.001508 -0.002107 delta_travel_sigma 1.6739e-04 -0.001117 6.2004e-04 -2.5346e-04 delta_other_sigma 0.003332 0.012672 0.004479 -0.032839 delta_exercise_mu delta_travel_mu delta_other_mu delta_dropOff_sigma gamma_dropOff 0.001209 0.001258 0.001028 4.366e-05 gamma_work -5.6232e-04 -0.003155 0.001501 -0.003979 gamma_school -0.007506 -0.007076 -0.002732 -0.015993 gamma_shopping 2.9625e-04 3.3540e-04 3.8792e-04 1.9183e-04 gamma_privBusiness -5.256e-05 -1.3066e-04 0.003095 5.1699e-04 gamma_petrol 6.7826e-04 9.5564e-04 0.001724 0.001098 gamma_leisure 0.001137 0.001394 0.002834 -0.001327 gamma_vacation -0.001576 -0.003348 0.002686 0.001744 gamma_exercise 8.4082e-04 0.001182 -1.1267e-04 0.002250 gamma_home 0.046172 0.047386 0.048348 0.028440 gamma_travel -1.0848e-04 -5.5812e-04 -2.1204e-04 7.749e-05 gamma_other 0.003036 0.012121 7.1128e-04 -6.8852e-04 delta_dropOff_mu 0.009751 0.012735 0.022364 -0.013409 delta_work_mu 0.014580 0.016441 0.014316 0.010714 delta_school_mu 0.036571 0.032026 0.007972 0.038551 delta_shopping_mu 0.016197 0.017046 0.017299 0.008964 delta_privBusiness_mu 0.015974 0.016978 0.018230 0.009927 delta_petrol_mu 0.015729 0.017476 0.007193 0.016476 delta_leisure_mu 0.015678 0.017288 0.016889 0.009206 delta_vacation_mu 0.005886 0.014280 0.047676 -0.003702 delta_exercise_mu 0.031358 0.016467 0.014473 0.010683 delta_travel_mu 0.016467 0.019610 0.017776 0.009436 delta_other_mu 0.014473 0.017776 0.137572 -0.003044 delta_dropOff_sigma 0.010683 0.009436 -0.003044 0.032974 delta_work_sigma -8.9679e-04 -3.9885e-04 7.2461e-04 -0.001569 delta_school_sigma 0.005252 0.003496 -0.011097 0.007921 delta_shopping_sigma -1.3316e-04 -1.7824e-04 8.6113e-04 -9.4744e-04 delta_privBusiness_sigma 3.4047e-04 -3.4860e-04 0.003091 -5.4752e-04 delta_petrol_sigma -0.002890 -0.002438 -0.018948 0.003564 delta_leisure_sigma -7.8553e-04 -0.001073 -1.8405e-04 -3.0020e-04 delta_vacation_sigma 0.005621 7.1993e-04 -0.024335 0.011550 delta_exercise_sigma 0.007753 -0.001554 -0.001979 -5.437e-05 delta_travel_sigma 0.001319 8.9235e-04 -0.003755 8.3298e-04 delta_other_sigma 0.007088 0.002375 -0.129157 0.016646 delta_work_sigma delta_school_sigma delta_shopping_sigma delta_privBusiness_sigma gamma_dropOff 1.777e-05 2.8729e-04 9.596e-06 -6.5916e-04 gamma_work -0.006325 -0.001950 0.002046 -0.001162 gamma_school -1.0283e-04 0.024369 8.3995e-04 0.001655 gamma_shopping -4.510e-05 -3.339e-05 4.3339e-04 -3.657e-05 gamma_privBusiness 3.3061e-04 5.0672e-04 -3.6405e-04 2.7823e-04 gamma_petrol -5.999e-05 3.341e-05 -1.7098e-04 -1.7410e-04 gamma_leisure -9.198e-05 -0.002386 2.8795e-04 -4.8712e-04 gamma_vacation -0.001581 -0.009772 -7.9456e-04 -2.5355e-04 gamma_exercise -6.715e-05 -0.002549 2.3254e-04 0.001092 gamma_home 9.3051e-04 0.010558 -1.0475e-04 -7.6379e-04 gamma_travel -1.422e-05 -1.4951e-04 1.288e-05 6.575e-06 gamma_other 0.002323 0.003681 9.7820e-04 0.001646 delta_dropOff_mu 0.001122 -8.6555e-04 7.7407e-04 2.1457e-04 delta_work_mu -0.002122 0.002857 -4.0209e-04 -8.9546e-04 delta_school_mu 0.001648 0.148480 -0.002561 -0.005143 delta_shopping_mu -1.7561e-04 0.002496 0.001352 -2.4285e-04 delta_privBusiness_mu 8.1428e-04 0.003177 4.6828e-04 0.003062 delta_petrol_mu 0.001776 0.016470 -5.643e-05 0.001574 delta_leisure_mu -1.6051e-04 0.003512 2.6501e-04 -1.0013e-04 delta_vacation_mu 0.009133 0.014157 0.010738 0.003084 delta_exercise_mu -8.9679e-04 0.005252 -1.3316e-04 3.4047e-04 delta_travel_mu -3.9885e-04 0.003496 -1.7824e-04 -3.4860e-04 delta_other_mu 7.2461e-04 -0.011097 8.6113e-04 0.003091 delta_dropOff_sigma -0.001569 0.007921 -9.4744e-04 -5.4752e-04 delta_work_sigma 0.004210 3.6203e-04 -1.7648e-04 9.9301e-04 delta_school_sigma 3.6203e-04 0.089559 -7.8684e-04 -0.002492 delta_shopping_sigma -1.7648e-04 -7.8684e-04 0.004844 5.3133e-04 delta_privBusiness_sigma 9.9301e-04 -0.002492 5.3133e-04 0.009048 delta_petrol_sigma 0.002422 0.016096 2.3223e-04 0.002116 delta_leisure_sigma -3.075e-07 -8.5482e-04 2.2529e-04 1.3854e-04 delta_vacation_sigma -0.007088 -0.005065 -0.008671 -0.002763 delta_exercise_sigma -6.8840e-04 0.002762 -3.4564e-04 -0.001103 delta_travel_sigma -0.001053 0.001274 4.8248e-04 -3.1982e-04 delta_other_sigma -0.002517 0.017072 -5.5278e-04 -0.004105 delta_petrol_sigma delta_leisure_sigma delta_vacation_sigma delta_exercise_sigma gamma_dropOff 6.6360e-04 -3.6039e-04 6.0729e-04 2.2729e-04 gamma_work -0.001676 0.002043 0.014467 0.001879 gamma_school 0.002626 -0.002056 -0.005612 -0.001488 gamma_shopping -1.5925e-04 -2.0976e-04 1.5934e-04 3.000e-05 gamma_privBusiness -5.5484e-04 1.6118e-04 -6.9068e-04 -2.2751e-04 gamma_petrol -0.006182 4.154e-05 -3.1887e-04 -1.4462e-04 gamma_leisure 0.001276 0.002204 7.5753e-04 1.9370e-04 gamma_vacation 0.003332 -1.1607e-04 0.041183 5.0278e-04 gamma_exercise -1.8004e-04 -0.001330 5.916e-05 0.002629 gamma_home -0.001535 -0.003280 0.006114 -0.004848 gamma_travel -1.883e-05 7.732e-06 3.8508e-04 1.923e-06 gamma_other 0.008565 -7.4110e-04 -0.023366 -0.009703 delta_dropOff_mu -0.004181 -3.2725e-04 -0.011930 -0.001417 delta_work_mu -0.004913 -0.001362 0.006339 -0.001274 delta_school_mu 0.017984 -0.005668 0.007915 7.5962e-04 delta_shopping_mu -3.3103e-04 -7.4841e-04 -8.9681e-04 -0.001266 delta_privBusiness_mu 8.9006e-04 -9.3397e-04 0.001012 -0.002125 delta_petrol_mu 0.132049 -1.6235e-04 0.014175 -0.002150 delta_leisure_mu -0.001604 1.3714e-04 3.9993e-04 -0.001508 delta_vacation_mu -0.021688 -0.003889 -0.539410 -0.002107 delta_exercise_mu -0.002890 -7.8553e-04 0.005621 0.007753 delta_travel_mu -0.002438 -0.001073 7.1993e-04 -0.001554 delta_other_mu -0.018948 -1.8405e-04 -0.024335 -0.001979 delta_dropOff_sigma 0.003564 -3.0020e-04 0.011550 -5.437e-05 delta_work_sigma 0.002422 -3.075e-07 -0.007088 -6.8840e-04 delta_school_sigma 0.016096 -8.5482e-04 -0.005065 0.002762 delta_shopping_sigma 2.3223e-04 2.2529e-04 -0.008671 -3.4564e-04 delta_privBusiness_sigma 0.002116 1.3854e-04 -0.002763 -0.001103 delta_petrol_sigma 0.170109 -6.743e-05 0.015717 -3.6117e-04 delta_leisure_sigma -6.743e-05 0.004539 0.001622 3.191e-05 delta_vacation_sigma 0.015717 0.001622 0.402247 2.6633e-04 delta_exercise_sigma -3.6117e-04 3.191e-05 2.6633e-04 0.012792 delta_travel_sigma -0.002825 2.3823e-04 0.001086 7.9805e-04 delta_other_sigma 0.012739 -2.0047e-04 0.029142 0.001794 delta_travel_sigma delta_other_sigma gamma_dropOff -6.462e-05 2.9354e-04 gamma_work -5.541e-05 -0.008095 gamma_school 5.2421e-04 -0.006130 gamma_shopping -5.752e-05 -2.5570e-04 gamma_privBusiness -3.3433e-04 -0.003343 gamma_petrol 1.9561e-04 -6.4307e-04 gamma_leisure -6.1114e-04 -7.3519e-04 gamma_vacation -0.001371 -0.005251 gamma_exercise 1.4223e-04 0.002461 gamma_home -7.1415e-04 0.015748 gamma_travel -8.007e-06 5.6001e-04 gamma_other -0.001250 0.036828 delta_dropOff_mu 4.036e-05 -0.008921 delta_work_mu 0.001123 0.007329 delta_school_mu 0.002736 0.032080 delta_shopping_mu 5.0088e-04 0.004329 delta_privBusiness_mu 1.6739e-04 0.003332 delta_petrol_mu -0.001117 0.012672 delta_leisure_mu 6.2004e-04 0.004479 delta_vacation_mu -2.5346e-04 -0.032839 delta_exercise_mu 0.001319 0.007088 delta_travel_mu 8.9235e-04 0.002375 delta_other_mu -0.003755 -0.129157 delta_dropOff_sigma 8.3298e-04 0.016646 delta_work_sigma -0.001053 -0.002517 delta_school_sigma 0.001274 0.017072 delta_shopping_sigma 4.8248e-04 -5.5278e-04 delta_privBusiness_sigma -3.1982e-04 -0.004105 delta_petrol_sigma -0.002825 0.012739 delta_leisure_sigma 2.3823e-04 -2.0047e-04 delta_vacation_sigma 0.001086 0.029142 delta_exercise_sigma 7.9805e-04 0.001794 delta_travel_sigma 0.003530 0.006197 delta_other_sigma 0.006197 0.179381 Classical correlation matrix: gamma_dropOff gamma_work gamma_school gamma_shopping gamma_dropOff 1.000000 -7.9605e-04 -9.7367e-04 -8.8043e-04 gamma_work -7.9605e-04 1.000000 -0.003023 -0.002187 gamma_school -9.7367e-04 -0.003023 1.000000 -0.001737 gamma_shopping -8.8043e-04 -0.002187 -0.001737 1.000000 gamma_privBusiness -0.002176 -0.004754 -8.8583e-04 2.9903e-04 gamma_petrol -3.9083e-04 -0.001342 -1.2364e-04 -2.9689e-04 gamma_leisure -8.1609e-04 -0.012528 -0.004000 -0.002658 gamma_vacation 3.0696e-04 -7.9157e-04 -5.4978e-04 4.3396e-04 gamma_exercise -0.001750 -0.007321 -0.002691 -0.001048 gamma_home -0.002120 -0.073638 -0.004860 -1.1181e-04 gamma_travel 0.003955 0.017804 0.003618 0.007105 gamma_other -1.3957e-04 -0.004315 -3.7351e-04 -1.4547e-04 delta_dropOff_mu 0.048343 -0.039207 -0.001357 -3.1638e-04 delta_work_mu -0.002333 -0.144898 -0.003148 5.9550e-04 delta_school_mu -0.006009 -0.011569 0.099841 -0.005325 delta_shopping_mu -0.001977 -0.059899 -0.004892 -0.052834 delta_privBusiness_mu -0.006284 -0.051365 -0.005162 5.2773e-04 delta_petrol_mu -0.003462 -0.028403 -0.001542 -0.005669 delta_leisure_mu -0.003464 -0.060181 -0.005327 7.882e-05 delta_vacation_mu 0.003784 -0.016927 -0.009062 0.008063 delta_exercise_mu -0.002802 -0.037018 -0.003846 0.001476 delta_travel_mu -0.005012 -0.070819 -0.005928 -0.004385 delta_other_mu 1.9019e-04 -0.026429 -6.6842e-04 0.001183 delta_dropOff_sigma -0.212540 0.008360 0.001142 0.001616 delta_work_sigma 7.242e-05 -0.264849 0.003114 -0.001040 delta_school_sigma -0.006057 -0.003335 0.141151 -0.004954 delta_shopping_sigma -0.007037 -0.003870 -0.007719 0.182772 delta_privBusiness_sigma -0.003169 -0.013094 -0.004827 0.003369 delta_petrol_sigma -0.004630 -0.009332 -0.001304 -0.005596 delta_leisure_sigma -0.003175 -0.013567 -0.009696 -0.006501 delta_vacation_sigma -0.004868 0.010915 0.009280 -0.009193 delta_exercise_sigma -0.001281 -0.001764 -9.9552e-04 0.001237 delta_travel_sigma 3.8694e-04 0.014791 0.006372 0.005907 delta_other_sigma 2.5767e-04 0.011490 -7.947e-05 -0.001082 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_dropOff -0.002176 -3.9083e-04 -8.1609e-04 3.0696e-04 gamma_work -0.004754 -0.001342 -0.012528 -7.9157e-04 gamma_school -8.8583e-04 -1.2364e-04 -0.004000 -5.4978e-04 gamma_shopping 2.9903e-04 -2.9689e-04 -0.002658 4.3396e-04 gamma_privBusiness 1.000000 -3.1748e-04 -0.001733 -1.5225e-04 gamma_petrol -3.1748e-04 1.000000 2.5297e-04 -1.7664e-04 gamma_leisure -0.001733 2.5297e-04 1.000000 -0.001011 gamma_vacation -1.5225e-04 -1.7664e-04 -0.001011 1.000000 gamma_exercise -9.8203e-04 1.1200e-04 -0.001380 -2.6969e-04 gamma_home -0.004696 -0.001157 -0.020032 -0.003143 gamma_travel 0.003404 -1.1194e-04 0.005297 -1.2618e-04 gamma_other -4.6646e-04 1.263e-05 -7.6926e-04 -5.3638e-04 delta_dropOff_mu -0.005944 -0.002063 -0.013615 0.001010 delta_work_mu -0.005169 -4.0756e-04 -0.019849 -0.003129 delta_school_mu -0.004217 0.001716 -0.011271 -0.003638 delta_shopping_mu -0.004013 -0.001518 -0.016330 -0.002327 delta_privBusiness_mu -0.010128 -0.002245 -0.013119 -0.001229 delta_petrol_mu -0.004078 0.046092 -0.004387 -0.002813 delta_leisure_mu -0.003005 -9.0301e-04 -0.069825 -0.002824 delta_vacation_mu -0.001296 -0.003233 -0.002618 0.049249 delta_exercise_mu -4.8941e-04 -0.001756 -0.012500 -7.3905e-04 delta_travel_mu -0.006544 -0.001306 -0.020884 -0.002670 delta_other_mu -0.003324 2.1358e-04 1.035e-06 4.7884e-04 delta_dropOff_sigma 0.002359 0.001948 0.001529 -0.001691 delta_work_sigma 0.008327 0.002894 0.009129 0.002801 delta_school_sigma -0.002021 0.003852 -6.3254e-04 -0.001598 delta_shopping_sigma -1.1035e-04 -9.2591e-04 -0.006574 0.002734 delta_privBusiness_sigma 0.164915 -0.001032 -0.004788 8.7225e-04 delta_petrol_sigma -0.004165 0.074287 0.002701 -0.002352 delta_leisure_sigma 0.003071 0.001024 0.227851 -1.7760e-04 delta_vacation_sigma 9.8202e-04 0.003207 0.001158 -0.059886 delta_exercise_sigma -0.004763 4.0174e-04 -0.001084 7.7335e-04 delta_travel_sigma -0.004963 -0.001249 0.001536 2.4300e-04 delta_other_sigma 0.002302 -4.8211e-04 -0.004310 -0.001280 gamma_exercise gamma_home gamma_travel gamma_other gamma_dropOff -0.001750 -0.002120 0.003955 -1.3957e-04 gamma_work -0.007321 -0.073638 0.017804 -0.004315 gamma_school -0.002691 -0.004860 0.003618 -3.7351e-04 gamma_shopping -0.001048 -1.1181e-04 0.007105 -1.4547e-04 gamma_privBusiness -9.8203e-04 -0.004696 0.003404 -4.6646e-04 gamma_petrol 1.1200e-04 -0.001157 -1.1194e-04 1.263e-05 gamma_leisure -0.001380 -0.020032 0.005297 -7.6926e-04 gamma_vacation -2.6969e-04 -0.003143 -1.2618e-04 -5.3638e-04 gamma_exercise 1.000000 -0.019469 0.006959 -7.3796e-04 gamma_home -0.019469 1.000000 0.008618 -0.005432 gamma_travel 0.006959 0.008618 1.000000 -0.002145 gamma_other -7.3796e-04 -0.005432 -0.002145 1.000000 delta_dropOff_mu -0.013434 0.448863 -0.001001 4.0725e-04 delta_work_mu -0.019851 0.801968 0.004244 -0.005649 delta_school_mu -0.004754 0.138085 0.010470 -0.002301 delta_shopping_mu -0.015679 0.807996 0.002362 -0.004162 delta_privBusiness_mu -0.012884 0.685384 0.006627 -0.003140 delta_petrol_mu -0.006908 0.249256 -0.002582 -7.1832e-04 delta_leisure_mu -0.015614 0.820131 0.004933 -0.004159 delta_vacation_mu -0.003948 0.089649 0.003616 6.7331e-04 delta_exercise_mu 0.026996 0.505620 0.014595 -0.004088 delta_travel_mu -0.021260 0.797676 -0.473493 -0.003517 delta_other_mu -0.011253 0.212127 -0.026529 0.038646 delta_dropOff_sigma 0.006001 -0.005749 0.003323 -0.004509 delta_work_sigma 0.007728 -0.001255 -0.031378 0.003839 delta_school_sigma 0.003670 0.002982 0.017273 -0.002129 delta_shopping_sigma -2.8082e-04 0.008553 0.011158 3.6701e-04 delta_privBusiness_sigma 0.003668 0.004298 0.003423 2.9851e-04 delta_petrol_sigma -8.0516e-04 -0.010069 -0.007003 0.001282 delta_leisure_sigma 0.001716 0.004969 0.005508 9.9807e-04 delta_vacation_sigma 0.002365 0.002890 -0.002851 -0.001264 delta_exercise_sigma 0.202418 0.019443 0.017801 -0.001992 delta_travel_sigma 0.006541 0.061606 0.280449 -0.006464 delta_other_sigma 0.007971 0.003225 0.032473 -0.051823 delta_dropOff_mu delta_work_mu delta_school_mu delta_shopping_mu gamma_dropOff 0.048343 -0.002333 -0.006009 -0.001977 gamma_work -0.039207 -0.144898 -0.011569 -0.059899 gamma_school -0.001357 -0.003148 0.099841 -0.004892 gamma_shopping -3.1638e-04 5.9550e-04 -0.005325 -0.052834 gamma_privBusiness -0.005944 -0.005169 -0.004217 -0.004013 gamma_petrol -0.002063 -4.0756e-04 0.001716 -0.001518 gamma_leisure -0.013615 -0.019849 -0.011271 -0.016330 gamma_vacation 0.001010 -0.003129 -0.003638 -0.002327 gamma_exercise -0.013434 -0.019851 -0.004754 -0.015679 gamma_home 0.448863 0.801968 0.138085 0.807996 gamma_travel -0.001001 0.004244 0.010470 0.002362 gamma_other 4.0725e-04 -0.005649 -0.002301 -0.004162 delta_dropOff_mu 1.000000 0.386603 0.052827 0.395571 delta_work_mu 0.386603 1.000000 0.124936 0.696740 delta_school_mu 0.052827 0.124936 1.000000 0.120748 delta_shopping_mu 0.395571 0.696740 0.120748 1.000000 delta_privBusiness_mu 0.336417 0.589841 0.093340 0.594437 delta_petrol_mu 0.102840 0.224407 0.052598 0.212072 delta_leisure_mu 0.394972 0.704060 0.112716 0.713389 delta_vacation_mu 0.068471 0.071153 -0.035313 0.081759 delta_exercise_mu 0.237453 0.427034 0.068400 0.440949 delta_travel_mu 0.388996 0.692166 0.113728 0.697574 delta_other_mu 0.144220 0.155890 0.007823 0.185086 delta_dropOff_sigma -0.622379 0.010184 0.034011 -0.004806 delta_work_sigma 0.012480 -0.144189 -0.005377 -0.001112 delta_school_sigma -0.005504 -0.005720 0.903197 0.007442 delta_shopping_sigma 0.003410 -0.003386 -0.026100 0.170977 delta_privBusiness_sigma 0.005712 -0.018230 -0.025258 0.005911 delta_petrol_sigma -0.022331 -0.003092 0.022383 -0.014124 delta_leisure_sigma -0.013343 -0.018818 -0.029358 0.007697 delta_vacation_sigma -0.029965 0.009712 0.051481 -6.7394e-04 delta_exercise_sigma 0.005012 0.010013 0.023677 0.018758 delta_travel_sigma 0.026571 0.079294 0.048935 0.060275 delta_other_sigma -0.047743 0.031457 0.027948 0.002167 delta_privBusiness_mu delta_petrol_mu delta_leisure_mu delta_vacation_mu gamma_dropOff -0.006284 -0.003462 -0.003464 0.003784 gamma_work -0.051365 -0.028403 -0.060181 -0.016927 gamma_school -0.005162 -0.001542 -0.005327 -0.009062 gamma_shopping 5.2773e-04 -0.005669 7.882e-05 0.008063 gamma_privBusiness -0.010128 -0.004078 -0.003005 -0.001296 gamma_petrol -0.002245 0.046092 -9.0301e-04 -0.003233 gamma_leisure -0.013119 -0.004387 -0.069825 -0.002618 gamma_vacation -0.001229 -0.002813 -0.002824 0.049249 gamma_exercise -0.012884 -0.006908 -0.015614 -0.003948 gamma_home 0.685384 0.249256 0.820131 0.089649 gamma_travel 0.006627 -0.002582 0.004933 0.003616 gamma_other -0.003140 -7.1832e-04 -0.004159 6.7331e-04 delta_dropOff_mu 0.336417 0.102840 0.394972 0.068471 delta_work_mu 0.589841 0.224407 0.704060 0.071153 delta_school_mu 0.093340 0.052598 0.112716 -0.035313 delta_shopping_mu 0.594437 0.212072 0.713389 0.081759 delta_privBusiness_mu 1.000000 0.170540 0.605783 0.080435 delta_petrol_mu 0.170540 1.000000 0.219849 -0.008739 delta_leisure_mu 0.605783 0.219849 1.000000 0.075299 delta_vacation_mu 0.080435 -0.008739 0.075299 1.000000 delta_exercise_mu 0.373524 0.122116 0.445857 0.065276 delta_travel_mu 0.590053 0.213571 0.707772 0.074490 delta_other_mu 0.166134 0.068720 0.192171 0.036484 delta_dropOff_sigma -3.3651e-04 0.016851 -0.002192 -0.019328 delta_work_sigma 0.004925 0.025527 5.1774e-04 0.039051 delta_school_sigma -0.002966 0.025919 0.006562 -0.025320 delta_shopping_sigma 0.008020 -0.013201 0.004908 0.040206 delta_privBusiness_sigma 0.334705 -0.009221 0.002256 0.019286 delta_petrol_sigma -0.023806 0.819475 -0.010657 -0.040401 delta_leisure_sigma 0.016671 0.006910 0.177818 0.006921 delta_vacation_sigma -0.014961 0.034482 0.005848 -0.943471 delta_exercise_sigma 0.003085 0.001227 0.015545 0.014288 delta_travel_sigma 0.051235 0.004146 0.074408 0.027452 delta_other_sigma -0.009925 -0.013019 -0.001722 -0.017550 delta_exercise_mu delta_travel_mu delta_other_mu delta_dropOff_sigma gamma_dropOff -0.002802 -0.005012 1.9019e-04 -0.212540 gamma_work -0.037018 -0.070819 -0.026429 0.008360 gamma_school -0.003846 -0.005928 -6.6842e-04 0.001142 gamma_shopping 0.001476 -0.004385 0.001183 0.001616 gamma_privBusiness -4.8941e-04 -0.006544 -0.003324 0.002359 gamma_petrol -0.001756 -0.001306 2.1358e-04 0.001948 gamma_leisure -0.012500 -0.020884 1.035e-06 0.001529 gamma_vacation -7.3905e-04 -0.002670 4.7884e-04 -0.001691 gamma_exercise 0.026996 -0.021260 -0.011253 0.006001 gamma_home 0.505620 0.797676 0.212127 -0.005749 gamma_travel 0.014595 -0.473493 -0.026529 0.003323 gamma_other -0.004088 -0.003517 0.038646 -0.004509 delta_dropOff_mu 0.237453 0.388996 0.144220 -0.622379 delta_work_mu 0.427034 0.692166 0.155890 0.010184 delta_school_mu 0.068400 0.113728 0.007823 0.034011 delta_shopping_mu 0.440949 0.697574 0.185086 -0.004806 delta_privBusiness_mu 0.373524 0.590053 0.166134 -3.3651e-04 delta_petrol_mu 0.122116 0.213571 0.068720 0.016851 delta_leisure_mu 0.445857 0.707772 0.192171 -0.002192 delta_vacation_mu 0.065276 0.074490 0.036484 -0.019328 delta_exercise_mu 1.000000 0.430540 0.096065 -0.001278 delta_travel_mu 0.430540 1.000000 0.193980 -0.006124 delta_other_mu 0.096065 0.193980 1.000000 -0.072557 delta_dropOff_sigma -0.001278 -0.006124 -0.072557 1.000000 delta_work_sigma -0.017405 0.007602 0.045772 -0.033186 delta_school_sigma -0.017414 -0.009988 -0.032802 0.024763 delta_shopping_sigma 0.021691 0.001055 0.010440 -0.006916 delta_privBusiness_sigma 0.015044 -0.003877 0.009080 -0.013302 delta_petrol_sigma -0.018472 -0.008978 0.019460 0.023249 delta_leisure_sigma -7.3804e-04 8.4597e-04 0.017242 0.005237 delta_vacation_sigma -0.018452 0.004797 -0.016573 0.023023 delta_exercise_sigma 0.565061 0.006377 -0.027398 0.025581 delta_travel_sigma 0.076894 -0.070593 -0.075106 0.010065 delta_other_sigma 0.025625 -0.011024 -0.877273 0.082626 delta_work_sigma delta_school_sigma delta_shopping_sigma delta_privBusiness_sigma gamma_dropOff 7.242e-05 -0.006057 -0.007037 -0.003169 gamma_work -0.264849 -0.003335 -0.003870 -0.013094 gamma_school 0.003114 0.141151 -0.007719 -0.004827 gamma_shopping -0.001040 -0.004954 0.182772 0.003369 gamma_privBusiness 0.008327 -0.002021 -1.1035e-04 0.164915 gamma_petrol 0.002894 0.003852 -9.2591e-04 -0.001032 gamma_leisure 0.009129 -6.3254e-04 -0.006574 -0.004788 gamma_vacation 0.002801 -0.001598 0.002734 8.7225e-04 gamma_exercise 0.007728 0.003670 -2.8082e-04 0.003668 gamma_home -0.001255 0.002982 0.008553 0.004298 gamma_travel -0.031378 0.017273 0.011158 0.003423 gamma_other 0.003839 -0.002129 3.6701e-04 2.9851e-04 delta_dropOff_mu 0.012480 -0.005504 0.003410 0.005712 delta_work_mu -0.144189 -0.005720 -0.003386 -0.018230 delta_school_mu -0.005377 0.903197 -0.026100 -0.025258 delta_shopping_mu -0.001112 0.007442 0.170977 0.005911 delta_privBusiness_mu 0.004925 -0.002966 0.008020 0.334705 delta_petrol_mu 0.025527 0.025919 -0.013201 -0.009221 delta_leisure_mu 5.1774e-04 0.006562 0.004908 0.002256 delta_vacation_mu 0.039051 -0.025320 0.040206 0.019286 delta_exercise_mu -0.017405 -0.017414 0.021691 0.015044 delta_travel_mu 0.007602 -0.009988 0.001055 -0.003877 delta_other_mu 0.045772 -0.032802 0.010440 0.009080 delta_dropOff_sigma -0.033186 0.024763 -0.006916 -0.013302 delta_work_sigma 1.000000 0.004180 0.029798 0.068008 delta_school_sigma 0.004180 1.000000 -0.021764 -0.016721 delta_shopping_sigma 0.029798 -0.021764 1.000000 0.012985 delta_privBusiness_sigma 0.068008 -0.016721 0.012985 1.000000 delta_petrol_sigma 0.026814 0.042029 -0.015686 -0.016797 delta_leisure_sigma 0.052651 -0.001559 -0.015037 0.028971 delta_vacation_sigma -0.043155 0.026289 -0.044807 -0.018575 delta_exercise_sigma -0.003657 0.040378 0.006812 -0.022715 delta_travel_sigma -0.102577 0.056689 0.033055 -0.020310 delta_other_sigma -0.051920 0.039485 -0.010271 -0.009836 delta_petrol_sigma delta_leisure_sigma delta_vacation_sigma delta_exercise_sigma gamma_dropOff -0.004630 -0.003175 -0.004868 -0.001281 gamma_work -0.009332 -0.013567 0.010915 -0.001764 gamma_school -0.001304 -0.009696 0.009280 -9.9552e-04 gamma_shopping -0.005596 -0.006501 -0.009193 0.001237 gamma_privBusiness -0.004165 0.003071 9.8202e-04 -0.004763 gamma_petrol 0.074287 0.001024 0.003207 4.0174e-04 gamma_leisure 0.002701 0.227851 0.001158 -0.001084 gamma_vacation -0.002352 -1.7760e-04 -0.059886 7.7335e-04 gamma_exercise -8.0516e-04 0.001716 0.002365 0.202418 gamma_home -0.010069 0.004969 0.002890 0.019443 gamma_travel -0.007003 0.005508 -0.002851 0.017801 gamma_other 0.001282 9.9807e-04 -0.001264 -0.001992 delta_dropOff_mu -0.022331 -0.013343 -0.029965 0.005012 delta_work_mu -0.003092 -0.018818 0.009712 0.010013 delta_school_mu 0.022383 -0.029358 0.051481 0.023677 delta_shopping_mu -0.014124 0.007697 -6.7394e-04 0.018758 delta_privBusiness_mu -0.023806 0.016671 -0.014961 0.003085 delta_petrol_mu 0.819475 0.006910 0.034482 0.001227 delta_leisure_mu -0.010657 0.177818 0.005848 0.015545 delta_vacation_mu -0.040401 0.006921 -0.943471 0.014288 delta_exercise_mu -0.018472 -7.3804e-04 -0.018452 0.565061 delta_travel_mu -0.008978 8.4597e-04 0.004797 0.006377 delta_other_mu 0.019460 0.017242 -0.016573 -0.027398 delta_dropOff_sigma 0.023249 0.005237 0.023023 0.025581 delta_work_sigma 0.026814 0.052651 -0.043155 -0.003657 delta_school_sigma 0.042029 -0.001559 0.026289 0.040378 delta_shopping_sigma -0.015686 -0.015037 -0.044807 0.006812 delta_privBusiness_sigma -0.016797 0.028971 -0.018575 -0.022715 delta_petrol_sigma 1.000000 0.012559 0.041462 -0.006870 delta_leisure_sigma 0.012559 1.000000 -0.005344 -0.013475 delta_vacation_sigma 0.041462 -0.005344 1.000000 -0.016816 delta_exercise_sigma -0.006870 -0.013475 -0.016816 1.000000 delta_travel_sigma -0.025671 0.041422 -0.020801 0.055385 delta_other_sigma -0.024982 -0.019580 0.018967 0.036835 delta_travel_sigma delta_other_sigma gamma_dropOff 3.8694e-04 2.5767e-04 gamma_work 0.014791 0.011490 gamma_school 0.006372 -7.947e-05 gamma_shopping 0.005907 -0.001082 gamma_privBusiness -0.004963 0.002302 gamma_petrol -0.001249 -4.8211e-04 gamma_leisure 0.001536 -0.004310 gamma_vacation 2.4300e-04 -0.001280 gamma_exercise 0.006541 0.007971 gamma_home 0.061606 0.003225 gamma_travel 0.280449 0.032473 gamma_other -0.006464 -0.051823 delta_dropOff_mu 0.026571 -0.047743 delta_work_mu 0.079294 0.031457 delta_school_mu 0.048935 0.027948 delta_shopping_mu 0.060275 0.002167 delta_privBusiness_mu 0.051235 -0.009925 delta_petrol_mu 0.004146 -0.013019 delta_leisure_mu 0.074408 -0.001722 delta_vacation_mu 0.027452 -0.017550 delta_exercise_mu 0.076894 0.025625 delta_travel_mu -0.070593 -0.011024 delta_other_mu -0.075106 -0.877273 delta_dropOff_sigma 0.010065 0.082626 delta_work_sigma -0.102577 -0.051920 delta_school_sigma 0.056689 0.039485 delta_shopping_sigma 0.033055 -0.010271 delta_privBusiness_sigma -0.020310 -0.009836 delta_petrol_sigma -0.025671 -0.024982 delta_leisure_sigma 0.041422 -0.019580 delta_vacation_sigma -0.020801 0.018967 delta_exercise_sigma 0.055385 0.036835 delta_travel_sigma 1.000000 0.106639 delta_other_sigma 0.106639 1.000000 Robust correlation matrix: gamma_dropOff gamma_work gamma_school gamma_shopping gamma_dropOff 1.000000 -0.070446 -0.052163 0.066271 gamma_work -0.070446 1.000000 0.138493 -0.042470 gamma_school -0.052163 0.138493 1.000000 -0.033955 gamma_shopping 0.066271 -0.042470 -0.033955 1.000000 gamma_privBusiness 0.013368 -0.027001 0.017890 0.039229 gamma_petrol 0.082073 -0.055610 -0.112643 0.053195 gamma_leisure 0.024243 0.113910 -0.001618 0.107311 gamma_vacation -0.016541 0.021819 -0.014068 0.030459 gamma_exercise 0.082810 -0.078282 -0.018615 0.020962 gamma_home 0.173677 -0.144958 -0.166774 0.115865 gamma_travel -0.009673 -0.121907 -0.042857 0.018156 gamma_other 0.074343 -0.051902 0.007650 0.124020 delta_dropOff_mu 0.092209 -0.028416 -0.040593 -0.034769 delta_work_mu 0.157982 -0.191966 -0.174277 0.123387 delta_school_mu 0.086464 -0.074414 0.049211 0.050085 delta_shopping_mu 0.199346 -0.098450 -0.153324 0.058763 delta_privBusiness_mu 0.109619 -0.112091 -0.127741 0.071091 delta_petrol_mu 0.104594 -0.071784 -0.078104 0.008481 delta_leisure_mu 0.164163 -0.100041 -0.151890 0.086356 delta_vacation_mu 0.006410 -0.083456 0.002746 0.012368 delta_exercise_mu 0.136434 -0.011995 -0.117424 0.057253 delta_travel_mu 0.179436 -0.085103 -0.139979 0.081966 delta_other_mu 0.055387 0.015290 -0.020404 0.035792 delta_dropOff_sigma 0.004804 -0.082784 -0.243978 0.036152 delta_work_sigma 0.005470 -0.368277 -0.004390 -0.023788 delta_school_sigma 0.019178 -0.024618 0.225573 -0.003818 delta_shopping_sigma 0.002754 0.111043 0.033432 0.213104 delta_privBusiness_sigma -0.138439 -0.046146 0.048209 -0.013157 delta_petrol_sigma 0.032143 -0.015348 0.017638 -0.013214 delta_leisure_sigma -0.106858 0.114545 -0.084522 -0.106542 delta_vacation_sigma 0.019129 0.086166 -0.024510 0.008598 delta_exercise_sigma 0.040147 0.062743 -0.036446 0.009079 delta_travel_sigma -0.021726 -0.003523 0.024441 -0.033129 delta_other_sigma 0.013846 -0.072198 -0.040091 -0.020661 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_dropOff 0.013368 0.082073 0.024243 -0.016541 gamma_work -0.027001 -0.055610 0.113910 0.021819 gamma_school 0.017890 -0.112643 -0.001618 -0.014068 gamma_shopping 0.039229 0.053195 0.107311 0.030459 gamma_privBusiness 1.000000 0.004770 -0.017001 0.058521 gamma_petrol 0.004770 1.000000 0.048720 0.005660 gamma_leisure -0.017001 0.048720 1.000000 0.009482 gamma_vacation 0.058521 0.005660 0.009482 1.000000 gamma_exercise -0.059348 0.075321 -0.017575 0.026441 gamma_home 0.030978 0.215730 0.120400 -0.027887 gamma_travel 0.072873 0.003705 -0.038191 0.020020 gamma_other 0.141708 0.056631 0.009562 0.033072 delta_dropOff_mu -0.048541 0.076752 0.097873 -0.068446 delta_work_mu -0.013966 0.281877 0.089623 -0.021902 delta_school_mu 0.054823 0.117972 -0.079635 -0.093307 delta_shopping_mu -0.013209 0.152893 0.071206 -0.040546 delta_privBusiness_mu 0.025236 0.180619 0.056098 -0.054315 delta_petrol_mu -0.017205 -0.265004 0.025484 0.015326 delta_leisure_mu 0.004093 0.187578 0.040782 -0.066305 delta_vacation_mu 0.015443 0.044075 -0.018637 -0.149004 delta_exercise_mu -0.005142 0.123053 0.061012 -0.021678 delta_travel_mu -0.016161 0.219242 0.094576 -0.058221 delta_other_mu 0.144532 0.149293 0.072585 0.017638 delta_dropOff_sigma 0.049315 0.194346 -0.069405 0.023385 delta_work_sigma 0.088262 -0.029703 -0.013468 -0.059343 delta_school_sigma 0.029329 0.003587 -0.075734 -0.079528 delta_shopping_sigma -0.090604 -0.078924 0.039304 -0.027804 delta_privBusiness_sigma 0.050666 -0.058802 -0.048649 -0.006492 delta_petrol_sigma -0.023302 -0.481565 0.029384 0.019673 delta_leisure_sigma 0.041437 0.019807 0.310779 -0.004195 delta_vacation_sigma -0.018863 -0.016152 0.011347 0.158145 delta_exercise_sigma -0.034843 -0.041080 0.016270 0.010827 delta_travel_sigma -0.097467 0.105768 -0.097714 -0.056204 delta_other_sigma -0.136716 -0.048779 -0.016490 -0.030196 gamma_exercise gamma_home gamma_travel gamma_other gamma_dropOff 0.082810 0.173677 -0.009673 0.074343 gamma_work -0.078282 -0.144958 -0.121907 -0.051902 gamma_school -0.018615 -0.166774 -0.042857 0.007650 gamma_shopping 0.020962 0.115865 0.018156 0.124020 gamma_privBusiness -0.059348 0.030978 0.072873 0.141708 gamma_petrol 0.075321 0.215730 0.003705 0.056631 gamma_leisure -0.017575 0.120400 -0.038191 0.009562 gamma_vacation 0.026441 -0.027887 0.020020 0.033072 gamma_exercise 1.000000 0.055253 0.052139 -0.032790 gamma_home 0.055253 1.000000 0.079784 0.173443 gamma_travel 0.052139 0.079784 1.000000 0.080459 gamma_other -0.032790 0.173443 0.080459 1.000000 delta_dropOff_mu -0.094746 0.463840 -0.104654 0.044327 delta_work_mu 0.070885 0.875830 0.009879 0.129671 delta_school_mu 0.011674 0.399203 -0.055324 0.062063 delta_shopping_mu 0.038382 0.909930 -0.045624 0.125804 delta_privBusiness_mu 0.027465 0.844999 -0.057893 0.160077 delta_petrol_mu 0.003675 0.360398 -0.019133 0.107532 delta_leisure_mu 0.029906 0.906475 -0.034996 0.122774 delta_vacation_mu 0.015188 0.116166 -0.020204 0.073859 delta_exercise_mu 0.022530 0.660178 -0.054692 0.021507 delta_travel_mu 0.040059 0.856775 -0.355825 0.108576 delta_other_mu -0.001441 0.330040 -0.051039 0.002406 delta_dropOff_sigma 0.058806 0.396552 0.038099 -0.004756 delta_work_sigma -0.004911 0.036313 -0.019566 0.044919 delta_school_sigma -0.040421 0.089331 -0.044602 0.015428 delta_shopping_sigma 0.015854 -0.003811 0.016526 0.017631 delta_privBusiness_sigma 0.054480 -0.020331 0.006171 0.021709 delta_petrol_sigma -0.002071 -0.009426 -0.004075 0.026050 delta_leisure_sigma -0.093639 -0.123277 0.010245 -0.013798 delta_vacation_sigma 4.4263e-04 0.024409 0.054206 -0.046214 delta_exercise_sigma 0.110278 -0.108530 0.001518 -0.107613 delta_travel_sigma 0.011359 -0.030433 -0.012032 -0.026390 delta_other_sigma 0.027577 0.094145 0.118047 0.109076 delta_dropOff_mu delta_work_mu delta_school_mu delta_shopping_mu gamma_dropOff 0.092209 0.157982 0.08646 0.199346 gamma_work -0.028416 -0.191966 -0.07441 -0.098450 gamma_school -0.040593 -0.174277 0.04921 -0.153324 gamma_shopping -0.034769 0.123387 0.05009 0.058763 gamma_privBusiness -0.048541 -0.013966 0.05482 -0.013209 gamma_petrol 0.076752 0.281877 0.11797 0.152893 gamma_leisure 0.097873 0.089623 -0.07964 0.071206 gamma_vacation -0.068446 -0.021902 -0.09331 -0.040546 gamma_exercise -0.094746 0.070885 0.01167 0.038382 gamma_home 0.463840 0.875830 0.39920 0.909930 gamma_travel -0.104654 0.009879 -0.05532 -0.045624 gamma_other 0.044327 0.129671 0.06206 0.125804 delta_dropOff_mu 1.000000 0.401220 0.06701 0.483313 delta_work_mu 0.401220 1.000000 0.34164 0.811384 delta_school_mu 0.067006 0.341641 1.00000 0.337459 delta_shopping_mu 0.483313 0.811384 0.33746 1.000000 delta_privBusiness_mu 0.420683 0.724245 0.34880 0.813217 delta_petrol_mu 0.140936 0.282576 0.22819 0.362987 delta_leisure_mu 0.481279 0.825569 0.35891 0.886487 delta_vacation_mu 0.137361 0.052122 0.05463 0.138543 delta_exercise_mu 0.296617 0.597749 0.34725 0.655297 delta_travel_mu 0.489842 0.852347 0.38454 0.872078 delta_other_mu 0.324784 0.280211 0.03614 0.334157 delta_dropOff_sigma -0.397747 0.428352 0.35697 0.353654 delta_work_sigma 0.093121 -0.237399 0.04270 -0.019392 delta_school_sigma -0.015579 0.069314 0.83424 0.059746 delta_shopping_sigma 0.059908 -0.041942 -0.06186 0.139167 delta_privBusiness_sigma 0.012151 -0.068343 -0.09091 -0.018292 delta_petrol_sigma -0.054600 -0.086481 0.07332 -0.005750 delta_leisure_sigma -0.026163 -0.146705 -0.14145 -0.079583 delta_vacation_sigma -0.101323 0.072566 0.02098 -0.010131 delta_exercise_sigma -0.067490 -0.081786 0.01129 -0.080173 delta_travel_sigma 0.003659 0.137198 0.07743 0.060398 delta_other_sigma -0.113454 0.125620 0.12736 0.073237 delta_privBusiness_mu delta_petrol_mu delta_leisure_mu delta_vacation_mu gamma_dropOff 0.10962 0.104594 0.164163 0.006410 gamma_work -0.11209 -0.071784 -0.100041 -0.083456 gamma_school -0.12774 -0.078104 -0.151890 0.002746 gamma_shopping 0.07109 0.008481 0.086356 0.012368 gamma_privBusiness 0.02524 -0.017205 0.004093 0.015443 gamma_petrol 0.18062 -0.265004 0.187578 0.044075 gamma_leisure 0.05610 0.025484 0.040782 -0.018637 gamma_vacation -0.05431 0.015326 -0.066305 -0.149004 gamma_exercise 0.02746 0.003675 0.029906 0.015188 gamma_home 0.84500 0.360398 0.906475 0.116166 gamma_travel -0.05789 -0.019133 -0.034996 -0.020204 gamma_other 0.16008 0.107532 0.122774 0.073859 delta_dropOff_mu 0.42068 0.140936 0.481279 0.137361 delta_work_mu 0.72425 0.282576 0.825569 0.052122 delta_school_mu 0.34880 0.228194 0.358909 0.054626 delta_shopping_mu 0.81322 0.362987 0.886487 0.138543 delta_privBusiness_mu 1.00000 0.345217 0.822625 0.102468 delta_petrol_mu 0.34522 1.000000 0.338178 -0.002316 delta_leisure_mu 0.82262 0.338178 1.000000 0.138853 delta_vacation_mu 0.10247 -0.002316 0.138853 1.000000 delta_exercise_mu 0.60462 0.231727 0.631315 0.037164 delta_travel_mu 0.81264 0.325580 0.880309 0.114014 delta_other_mu 0.32944 0.050592 0.324697 0.143716 delta_dropOff_sigma 0.36643 0.236713 0.361512 -0.022793 delta_work_sigma 0.08412 0.071432 -0.017641 0.157390 delta_school_sigma 0.07116 0.143584 0.083686 0.052891 delta_shopping_sigma 0.04510 -0.002115 0.027152 0.172505 delta_privBusiness_sigma 0.21575 0.043185 -0.007507 0.036246 delta_petrol_sigma 0.01446 0.835281 -0.027735 -0.058791 delta_leisure_sigma -0.09291 -0.006287 0.014515 -0.064528 delta_vacation_sigma 0.01070 0.058311 0.004497 -0.950910 delta_exercise_sigma -0.12595 -0.049598 -0.095059 -0.020829 delta_travel_sigma 0.01888 -0.049038 0.074416 -0.004770 delta_other_sigma 0.05273 0.078058 0.075411 -0.086691 delta_exercise_mu delta_travel_mu delta_other_mu delta_dropOff_sigma gamma_dropOff 0.136434 0.179436 0.055387 0.004804 gamma_work -0.011995 -0.085103 0.015290 -0.082784 gamma_school -0.117424 -0.139979 -0.020404 -0.243978 gamma_shopping 0.057253 0.081966 0.035792 0.036152 gamma_privBusiness -0.005142 -0.016161 0.144532 0.049315 gamma_petrol 0.123053 0.219242 0.149293 0.194346 gamma_leisure 0.061012 0.094576 0.072585 -0.069405 gamma_vacation -0.021678 -0.058221 0.017638 0.023385 gamma_exercise 0.022530 0.040059 -0.001441 0.058806 gamma_home 0.660178 0.856775 0.330040 0.396552 gamma_travel -0.054692 -0.355825 -0.051039 0.038099 gamma_other 0.021507 0.108576 0.002406 -0.004756 delta_dropOff_mu 0.296617 0.489842 0.324784 -0.397747 delta_work_mu 0.597749 0.852347 0.280211 0.428352 delta_school_mu 0.347250 0.384542 0.036138 0.356972 delta_shopping_mu 0.655297 0.872078 0.334157 0.353654 delta_privBusiness_mu 0.604620 0.812645 0.329444 0.366426 delta_petrol_mu 0.231727 0.325580 0.050592 0.236713 delta_leisure_mu 0.631315 0.880309 0.324697 0.361512 delta_vacation_mu 0.037164 0.114014 0.143716 -0.022793 delta_exercise_mu 1.000000 0.664067 0.220353 0.332239 delta_travel_mu 0.664067 1.000000 0.342237 0.371081 delta_other_mu 0.220353 0.342237 1.000000 -0.045203 delta_dropOff_sigma 0.332239 0.371081 -0.045203 1.000000 delta_work_sigma -0.078055 -0.043899 0.030111 -0.133138 delta_school_sigma 0.099110 0.083416 -0.099978 0.145762 delta_shopping_sigma -0.010805 -0.018288 0.033358 -0.074967 delta_privBusiness_sigma 0.020213 -0.026171 0.087603 -0.031699 delta_petrol_sigma -0.039566 -0.042215 -0.123863 0.047581 delta_leisure_sigma -0.065839 -0.113717 -0.007365 -0.024537 delta_vacation_sigma 0.050051 0.008106 -0.103449 0.100291 delta_exercise_sigma 0.387130 -0.098119 -0.047168 -0.002647 delta_travel_sigma 0.125328 0.107251 -0.170389 0.077206 delta_other_sigma 0.094500 0.040050 -0.822174 0.216443 delta_work_sigma delta_school_sigma delta_shopping_sigma delta_privBusiness_sigma gamma_dropOff 0.005470 0.019178 0.002754 -0.138439 gamma_work -0.368277 -0.024618 0.111043 -0.046146 gamma_school -0.004390 0.225573 0.033432 0.048209 gamma_shopping -0.023788 -0.003818 0.213104 -0.013157 gamma_privBusiness 0.088262 0.029329 -0.090604 0.050666 gamma_petrol -0.029703 0.003587 -0.078924 -0.058802 gamma_leisure -0.013468 -0.075734 0.039304 -0.048649 gamma_vacation -0.059343 -0.079528 -0.027804 -0.006492 gamma_exercise -0.004911 -0.040421 0.015854 0.054480 gamma_home 0.036313 0.089331 -0.003811 -0.020331 gamma_travel -0.019566 -0.044602 0.016526 0.006171 gamma_other 0.044919 0.015428 0.017631 0.021709 delta_dropOff_mu 0.093121 -0.015579 0.059908 0.012151 delta_work_mu -0.237399 0.069314 -0.041942 -0.068343 delta_school_mu 0.042703 0.834245 -0.061860 -0.090914 delta_shopping_mu -0.019392 0.059746 0.139167 -0.018292 delta_privBusiness_mu 0.084121 0.071164 0.045098 0.215748 delta_petrol_mu 0.071432 0.143584 -0.002115 0.043185 delta_leisure_mu -0.017641 0.083686 0.027152 -0.007507 delta_vacation_mu 0.157390 0.052891 0.172505 0.036246 delta_exercise_mu -0.078055 0.099110 -0.010805 0.020213 delta_travel_mu -0.043899 0.083416 -0.018288 -0.026171 delta_other_mu 0.030111 -0.099978 0.033358 0.087603 delta_dropOff_sigma -0.133138 0.145762 -0.074967 -0.031699 delta_work_sigma 1.000000 0.018646 -0.039082 0.160905 delta_school_sigma 0.018646 1.000000 -0.037778 -0.087551 delta_shopping_sigma -0.039082 -0.037778 1.000000 0.080259 delta_privBusiness_sigma 0.160905 -0.087551 0.080259 1.000000 delta_petrol_sigma 0.090511 0.130410 0.008090 0.053947 delta_leisure_sigma -7.034e-05 -0.042395 0.048045 0.021618 delta_vacation_sigma -0.172244 -0.026685 -0.196435 -0.045792 delta_exercise_sigma -0.093813 0.081611 -0.043911 -0.102528 delta_travel_sigma -0.273038 0.071655 0.116677 -0.056590 delta_other_sigma -0.091604 0.134695 -0.018753 -0.101895 delta_petrol_sigma delta_leisure_sigma delta_vacation_sigma delta_exercise_sigma gamma_dropOff 0.032143 -0.106858 0.019129 0.040147 gamma_work -0.015348 0.114545 0.086166 0.062743 gamma_school 0.017638 -0.084522 -0.024510 -0.036446 gamma_shopping -0.013214 -0.106542 0.008598 0.009079 gamma_privBusiness -0.023302 0.041437 -0.018863 -0.034843 gamma_petrol -0.481565 0.019807 -0.016152 -0.041080 gamma_leisure 0.029384 0.310779 0.011347 0.016270 gamma_vacation 0.019673 -0.004195 0.158145 0.010827 gamma_exercise -0.002071 -0.093639 4.4263e-04 0.110278 gamma_home -0.009426 -0.123277 0.024409 -0.108530 gamma_travel -0.004075 0.010245 0.054206 0.001518 gamma_other 0.026050 -0.013798 -0.046214 -0.107613 delta_dropOff_mu -0.054600 -0.026163 -0.101323 -0.067490 delta_work_mu -0.086481 -0.146705 0.072566 -0.081786 delta_school_mu 0.073317 -0.141453 0.020983 0.011293 delta_shopping_mu -0.005750 -0.079583 -0.010131 -0.080173 delta_privBusiness_mu 0.014465 -0.092914 0.010696 -0.125951 delta_petrol_mu 0.835281 -0.006287 0.058311 -0.049598 delta_leisure_mu -0.027735 0.014515 0.004497 -0.095059 delta_vacation_mu -0.058791 -0.064528 -0.950910 -0.020829 delta_exercise_mu -0.039566 -0.065839 0.050051 0.387130 delta_travel_mu -0.042215 -0.113717 0.008106 -0.098119 delta_other_mu -0.123863 -0.007365 -0.103449 -0.047168 delta_dropOff_sigma 0.047581 -0.024537 0.100291 -0.002647 delta_work_sigma 0.090511 -7.034e-05 -0.172244 -0.093813 delta_school_sigma 0.130410 -0.042395 -0.026685 0.081611 delta_shopping_sigma 0.008090 0.048045 -0.196435 -0.043911 delta_privBusiness_sigma 0.053947 0.021618 -0.045792 -0.102528 delta_petrol_sigma 1.000000 -0.002427 0.060085 -0.007743 delta_leisure_sigma -0.002427 1.000000 0.037956 0.004188 delta_vacation_sigma 0.060085 0.037956 1.000000 0.003713 delta_exercise_sigma -0.007743 0.004188 0.003713 1.000000 delta_travel_sigma -0.115268 0.059511 0.028819 0.118760 delta_other_sigma 0.072927 -0.007025 0.108488 0.037449 delta_travel_sigma delta_other_sigma gamma_dropOff -0.021726 0.013846 gamma_work -0.003523 -0.072198 gamma_school 0.024441 -0.040091 gamma_shopping -0.033129 -0.020661 gamma_privBusiness -0.097467 -0.136716 gamma_petrol 0.105768 -0.048779 gamma_leisure -0.097714 -0.016490 gamma_vacation -0.056204 -0.030196 gamma_exercise 0.011359 0.027577 gamma_home -0.030433 0.094145 gamma_travel -0.012032 0.118047 gamma_other -0.026390 0.109076 delta_dropOff_mu 0.003659 -0.113454 delta_work_mu 0.137198 0.125620 delta_school_mu 0.077426 0.127357 delta_shopping_mu 0.060398 0.073237 delta_privBusiness_mu 0.018884 0.052734 delta_petrol_mu -0.049038 0.078058 delta_leisure_mu 0.074416 0.075411 delta_vacation_mu -0.004770 -0.086691 delta_exercise_mu 0.125328 0.094500 delta_travel_mu 0.107251 0.040050 delta_other_mu -0.170389 -0.822174 delta_dropOff_sigma 0.077206 0.216443 delta_work_sigma -0.273038 -0.091604 delta_school_sigma 0.071655 0.134695 delta_shopping_sigma 0.116677 -0.018753 delta_privBusiness_sigma -0.056590 -0.101895 delta_petrol_sigma -0.115268 0.072927 delta_leisure_sigma 0.059511 -0.007025 delta_vacation_sigma 0.028819 0.108488 delta_exercise_sigma 0.118760 0.037449 delta_travel_sigma 1.000000 0.246268 delta_other_sigma 0.246268 1.000000 20 most extreme outliers in terms of lowest average per choice prediction: ID Avg prob per choice 3375723 4.112981e-08 1226238 5.651416e-08 7652039 9.236409e-08 6873173 1.242247e-07 6292582 1.492312e-07 3051038 2.464984e-07 2684804 6.126391e-07 2146576 6.386090e-07 2191235 6.818056e-07 5804392 7.657649e-07 9216479 8.822377e-07 1482825 9.393809e-07 9902059 9.803826e-07 8465193 1.015370e-06 8530000 1.019138e-06 9545640 1.329310e-06 582836 1.639590e-06 4376416 1.649287e-06 4556758 2.316043e-06 8795776 2.357254e-06 Changes in parameter estimates from starting values: Initial Estimate Difference alpha_generic 0.000 0.00000 0.00000 gamma_dropOff 1.000 0.31875 -0.68125 gamma_work 1.000 5.52670 4.52670 gamma_school 1.000 2.22669 1.22669 gamma_shopping 1.000 0.39482 -0.60518 gamma_privBusiness 1.000 0.54418 -0.45582 gamma_petrol 1.000 0.11234 -0.88766 gamma_leisure 1.000 1.68172 0.68172 gamma_vacation 1.000 1.50057 0.50057 gamma_exercise 1.000 2.04172 1.04172 gamma_home 1.000 2.63419 1.63419 gamma_travel 1.000 0.18971 -0.81029 gamma_other 1.000 1.64738 0.64738 delta_dropOff_mu 0.000 -4.39615 -4.39615 delta_work_mu 0.000 -2.43449 -2.43449 delta_school_mu 0.000 -7.97046 -7.97046 delta_shopping_mu 0.000 -2.82993 -2.82993 delta_privBusiness_mu 0.000 -3.47563 -3.47563 delta_petrol_mu 0.000 -6.06388 -6.06388 delta_leisure_mu 0.000 -2.71145 -2.71145 delta_vacation_mu 0.000 -7.85745 -7.85745 delta_exercise_mu 0.000 -4.25242 -4.25242 delta_home_mu 0.000 0.00000 0.00000 delta_travel_mu 0.000 -0.03672 -0.03672 delta_other_mu 0.000 -5.96471 -5.96471 delta_dropOff_sigma 0.000 1.78793 1.78793 delta_work_sigma 0.000 0.73133 0.73133 delta_school_sigma 0.000 -2.90439 -2.90439 delta_shopping_sigma 0.000 -0.57328 -0.57328 delta_privBusiness_sigma 0.000 -0.95899 -0.95899 delta_petrol_sigma 0.000 -1.18373 -1.18373 delta_leisure_sigma 0.000 -0.52174 -0.52174 delta_vacation_sigma 0.000 1.63819 1.63819 delta_exercise_sigma 0.000 -1.62691 -1.62691 delta_home_sigma 0.000 0.00000 0.00000 delta_travel_sigma 0.000 -0.25233 -0.25233 delta_other_sigma 0.000 0.84400 0.84400 sig 1.000 1.00000 0.00000 Settings and functions used in model definition: apollo_control -------------- Value modelDescr "Mixed MDCEV model on time use data, alpha-gamma profile (with alpha=0), no outside good and random constants only in utilities" indivID "indivID" nCores "4" outputDirectory "output/" mixing "TRUE" debug "FALSE" modelName "Mixed_MDCEV" workInLogs "FALSE" seed "13" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" calculateLLC "TRUE" analyticHessian "FALSE" memorySaver "FALSE" panelData "TRUE" analyticGrad "TRUE" analyticGrad_manualSet "FALSE" overridePanel "FALSE" preventOverridePanel "FALSE" noModification "FALSE" Hessian routines attempted -------------------------- numerical second derivative of LL (using numDeriv) Scaling used in computing Hessian --------------------------------- Value gamma_dropOff 0.31875132 gamma_work 5.52669601 gamma_school 2.22668880 gamma_shopping 0.39482102 gamma_privBusiness 0.54417697 gamma_petrol 0.11234343 gamma_leisure 1.68171525 gamma_vacation 1.50056843 gamma_exercise 2.04172024 gamma_home 2.63418671 gamma_travel 0.18971186 gamma_other 1.64738163 delta_dropOff_mu 4.39615282 delta_work_mu 2.43449268 delta_school_mu 7.97045510 delta_shopping_mu 2.82992801 delta_privBusiness_mu 3.47563339 delta_petrol_mu 6.06388148 delta_leisure_mu 2.71145066 delta_vacation_mu 7.85745148 delta_exercise_mu 4.25241510 delta_travel_mu 0.03671621 delta_other_mu 5.96470920 delta_dropOff_sigma 1.78793313 delta_work_sigma 0.73133346 delta_school_sigma 2.90439065 delta_shopping_sigma 0.57327704 delta_privBusiness_sigma 0.95899499 delta_petrol_sigma 1.18372776 delta_leisure_sigma 0.52173666 delta_vacation_sigma 1.63818558 delta_exercise_sigma 1.62691421 delta_travel_sigma 0.25233211 delta_other_sigma 0.84400278 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 = alpha_generic, work = alpha_generic, school = alpha_generic, shopping = alpha_generic, privBusi = alpha_generic, petrol = alpha_generic, leisure = alpha_generic, vacation = alpha_generic, exercise = alpha_generic, home = alpha_generic, travel = alpha_generic, other = alpha_generic) ### 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 settings for MDCEV model mdcev_settings = list(alternatives = alternatives, avail = avail, continuousChoice = continuousChoice, V = V, alpha = alpha, gamma = gamma, sigma = sig, cost = cost, budget = 24) ### 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) }