Research Article
Distribution Inference for Physical and Orbital Properties of Jupiter’s Moons
| | | Beta | Birnbaum-Saunders | Gamma | Logistic | Nakagami | Normal | Rice | tlocation-scale | Weibull |
| Semi-major axis (107 km) | p-value | 0.0328 | 0.1347 | 0.1371 | 0.6785 | 0.1395 | 0.1364 | 0.1421 | 0.9304 | 0.684 | h | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | parameters | = 17.098 = 0.178068 | = 2.1074 = 0.0142595 | Matrix is close to singular. | = 2.1139 = 0.0123376 | = 2.10761 = 0.0311751 | = 2.10761 = 0.0311751 | = 2.1074 = 0.0295767 | = 2.11665 = 0.00915557 = 1.52402 | = 2.11821 = 141.939 |
| Mean orbit velocity (103 km/h) | p-value | 4.30E-3 | 0.91 | 0.9211 | 0.9652 | 0.9312 | 0.9485 | 0.9408 | 0.7032 | 0.9788 | h | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | parameters | = 2.619 = 0.185662 | = 2.24183 = 0.052298 | = 368.072 = 0.006.09908 | = 2.24867 = 0.0683413 | = 92.6977 = 5.05313 | = 2.2449 = 0.1227135 | = 2.24187 = 0.116491 | MLE did not converge. | = 2.29923 = 21.9834 |
| Orbit eccentricity (10−1) | p-value | 8.99E-05 | 0.1634 | 0.1616 | 0.6557 | 0.1598 | 0.151 | 0.1581 | 0.6017 | 0.0821 | h | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | parameters | = 8.26353 = 0.198125 | = 8.75391 = 0.0087315 | Matrix is close to singular. | = 8.73706 = 0.0313777 | = 3235.86 = 76.6427 | = 8.75424 = 0.0813835 | = 8.7539 = 0.0772086 | = 8.72481 = 0.0203158 = 1.36328 | = 8.79917 = 82.6918 |
| Inclination of orbit (102°) | p-value | 0.5027 | 0.4904 | 0.4991 | 0.7114 | 0.5077 | 0.5167 | 0.5167 | 0.9075 | 0.6297 | h | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | parameters | = 1951.25 = 11193.4 | = 1.4841 = 0.0210 | = 2286.47 = 0.000649 | = 1.4863 = 0.0154 | = 575.3654 = 2.2045 | = 1.4844 = 0.0309 | = 1.4841 = 0.0308 | = 1.4879 = 0.0127 = 1.4538 | = 1.4986 = 52.7307 |
| Equatorial radius (km) | p-value | 7.43E-04 | 0.5045 | 0.4118 | 0.2689 | 0.158 | 0.1036 | 2.40E-03 | 0.7231 | 0.4889 | h | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | parameters | = 0.225054 = 0.144156 | = 2.32358 = 0.827948 | = 1.45368 = 2.11188 | = 2.18108 = 1.39766 | = 0.395632 = 23.241 | = 3.07 = 3.91806 | = 0.126333 = 3.40798 | = 1.80724 = 0.660297 = 1.19615 | = 3.18574 = 1.07908 |
| Mass (1013 kg) | p-value | 0.0025 | 0.0341 | 0.0668 | 0.03 | 0.037 | 6.00E-03 | 2.74E-08 | null | 0.4304 | h | 1 | 1 | 0 | 1 | 1 | 1 | 1 | null | 0 | parameters | = 0.0964716 = 0.106068 | = 60.0159 = 4.33548 | = 0.219599 = 1411.32 | = 78.0193 = 298.807 | = 0.0927262 = 898663 | = 309.925 = 944.346 | = 22.4209 = 670.178 | Maximum likelihood estimation did not converge. | = 38.3573 = 0.368827 |
| Surface gravity ((m/s2)/102) | p-value | 7.52E-04 | 0.2802 | 0.2227 | 0.3042 | 0.0982 | 0.0933 | 3.50E-03 | 0.421 | 0.2732 | h | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | parameters | = 0.246544 = 0.14788 | = 0.198988 = 0.732471 | = 1.82168 = 0.137236 | = 0.190652 = 0.101607 | = 0.482908 = 0.129 | = 0.25 = 0.271825 | = 0.0041522 = 0.253955 | = 0.167044 = 0.0636087 = 1.40815 | = 0.270122 = 1.21203 |
| Escape velocity (km/h) | p-value | 6.67E-04 | 0.3295 | 0.2788 | 0.2429 | 0.1138 | 0.0989 | 1.70E-03 | 0.7262 | 0.3567 | h | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | parameters | = 0.230441 = 0.145225 | = 10.6647 = 0.778473 | = 1.58042 = 8.66859 | = 9.82501 = 5.97056 | = 0.418467 = 445.3 | = 13.7 = 16.9184 | = 0.531109 = 14.9178 | = 8.24903 = 2.61085 = 1.15837 | = 14.419 = 1.11631 |
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