Research Article
Distribution Inference for Physical and Orbital Properties of Jupiter’s Moons
| | | | Beta | Birnbaum-Saunders | Gamma | Logistic | Nakagami | Normal | Rice | t location-scale | Weibull |
| | Semi-major axis (107 km) | p-value | 3.55E-04 | 0.9898 | null | 0.9987 | 0.0136 | 0.9891 | 0.9882 | null | 0.7911 | | h | 1 | 0 | null | 0 | 1 | 0 | 0 | null | 0 | | parameters | = 27.2522
= 0.272087 | = 2.33268
= 0.00500346 | Matrix is close to singular. | = 2.3326
= 0.00651346 | = 9985.19
= 5.44166 | = 2.33271
= 0.0121133 | = 2.33268
= 0.0116728 | The calculated Hessian is not positive definite. | = 2.33856
= 201.843 |
| | Mean orbit velocity (103 km/h) | p-value | 8.80E-03 | 0.5488 | null | 0.6607 | 7.2972E-5 | 0.5598 | 0.5461 | The calculated Hessian is not positive definite. | 0.2983 | | h | 1 | 0 | null | 0 | 0 | 0 | 0 | null | 0 | | parameters | = 68.2281
= 0.245874 | = 8.22086
= 0.00232688 | Matrix is close to singular. | = 8.21989
= 0.0112805 | = 46161.3
= 67.5832 | = 8.22088
= 0.0198551 | = 8.22086
= 0.0191329 | MLE (Maximum Likelihood Estimation) did not converge. | = 8.23058
= 452.354 |
| | Orbit eccentricity (10−1) | p-value | 4.80E-03 | 0.6245 | 4.0418E-7 | 0.5695 | 0.6128 | 0.6118 | 0.6002 | null | 0.3726 | | h | 1 | 0 | 0 | 0 | 0 | 0 | 0 | null | 0 | | parameters | = 4.79853
= 0.247005 | = 2.54254
= 0.0330888 | = 909.093
= 0.00279831 | = 2.53584
= 0.0506215 | = 226.315
= 6.47876 | = 2.54393
= 0.0880083 | = 2.54251
= 0.0848305 | The calculated Hessian is not positive definite. | = 2.58664
= 30.5827 |
| | Inclination of orbit (102°) | p-value | 0.0994 | 0.0984 | 0.0991 | 0.2697 | 0.0998 | 0.1005 | 0.1005 | 0.6662 | 0.2271 | | h | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | parameters | = 32931.5
= 166729 | = 1.6494
= 0.005040 | = 39419.4189
= 0.0000418 | = 1.6502
= 0.004132 | = 9866.0175
= 2.7205 | = 1.6494
= 0.008298 | = 1.6494
= 0.008298 | = 1.6511
= 0.0017
= 0.8751 | = 1.6533
= 212.8357 |
| | Equatorial radius (km) | p-value | 1.78E-05 | 0.0254 | 0.0249 | 0.0374 | 0.0024 | 0.0024 | 2.01E-08 | 0.7119 | 0.0574 | | h | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | | parameters | = 0.206976
= 0.185628 | = 2.32292
= 0.913758 | = 1.10481
= 2.87704 | = 1.90719
= 1.606 | = 0.286619
= 40.5921 | = 3.17857
= 5.73011 | = 0.116687
= 4.50454 | = 1.65708
= 0.440683
= 1.14501 | = 2.98203
= 0.911426 |
| | Mass (1013 kg) | p-value | 6.83E-05 | 8.58E-05 | 9.31E-04 | 0.0028 | 6.02E-04 | 3.10E-04 | 6.68E-12 | null | 0.0478 | | h | 1 | 1 | 1 | 1 | 1 | 1 | 1 | null | 1 | | parameters | = 0.0841809
= 0.128804 | = 153.808
= 6.88668 | = 0.160966
= 5891.52 | = 151.943
= 941.547 | = 0.0699297
= 1.44943e+7 | = 948.336
= 3522.9 | = 113.882
= 2491.35 | MLE did not converge. | = 31.522
= 0.309664 |
| | Surface gravity ((m/s2)/102) | p-value | 1.64E-05 | 0.0171 | 0.0232 | 0.0162 | 0.0023 | 0.0024 | 3.21E-08 | null | 0.0346 | | h | 1 | 1 | 1 | 1 | 1 | 1 | 1 | null | 1 | | parameters | = 0.211325
= 0.186944 | = 0.180961
= 0.87834 | = 1.16534
= 0.208399 | = 0.149513
= 0.120199 | = 0.298776
= 0.224286 | = 0.242857
= 0.421927 | = 0.001165
= 0.334886 | The calculated Hessian is not positive definite. | = 0.232103
= 0.933741 |
| | Escape velocity (km/h) | p-value | 1.40E-05 | 0.0126 | 0.0141 | 0.0287 | 0.0015 | 0.0018 | 1.37E-08 | 0.6619 | 0.0358 | | h | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | | parameters | = 0.210438
= 0.186748 | = 10.5296
= 0.871682 | = 1.16971
= 12.0298 | = 8.93572
= 7.99281 | = 0.296761
= 769.929 | = 14.0714
= 24.8177 | = 0.703387
= 19.6157 | = 7.32997
= 1.58419
= 1.06821 | = 13.4252
= 0.932058 |
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