Research Article
[Retracted] Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data
Table 1
A1 and
A2 of
parameters by MLE, and Bayesian when.
.
| | = 0.75 | = 3 | | MLE | Bayesian | MLE | Bayesian | | n | A1 | A2 | A1 | A2 | A1 | A2 | A1 | A2 |
| 0.75 | 30 | | 0.0663 | 0.2090 | −0.0105 | 0.0807 | 0.1024 | 0.1833 | −0.0064 | 0.0839 | | 0.2976 | 2.6962 | −0.0118 | 0.0642 | −0.0389 | 0.3818 | 0.0092 | 0.0688 | | 0.5169 | 2.1535 | −0.0483 | 0.0773 | 0.4304 | 1.0915 | −0.0201 | 0.0679 | | 0.6221 | 5.1127 | −0.0147 | 0.0593 | 0.2325 | 3.3815 | −0.0333 | 0.1281 | 70 | | 0.0361 | 0.1570 | −0.0009 | 0.0252 | 0.1016 | 0.1289 | 0.0094 | 0.0244 | | 0.0892 | 1.0049 | −0.0178 | 0.0238 | −0.0932 | 0.1873 | 0.0020 | 0.0174 | | 0.3333 | 1.1596 | −0.0219 | 0.0284 | 0.3409 | 0.4543 | −0.0251 | 0.0271 | | 0.2307 | 1.4412 | −0.0108 | 0.0224 | −0.0001 | 1.3741 | −0.0164 | 0.0293 | 150 | | 0.0413 | 0.1089 | 0.0009 | 0.0204 | 0.0643 | 0.0681 | −0.0001 | 0.0187 | | −0.0081 | 0.3685 | −0.0046 | 0.0162 | −0.0659 | 0.1047 | 0.0050 | 0.0119 | | 0.2005 | 0.5740 | −0.0189 | 0.0251 | 0.2062 | 0.2413 | −0.0174 | 0.0172 | | 0.0851 | 0.5711 | −0.0052 | 0.0172 | 0.0176 | 0.6182 | 0.0087 | 0.0219 | 200 | | 0.0605 | 0.0764 | 0.0019 | 0.0056 | 0.0504 | 0.0349 | −0.0053 | 0.0051 | | −0.0431 | 0.0853 | −0.0059 | 0.0048 | −0.0346 | 0.0603 | 0.0026 | 0.0045 | | 0.1002 | 0.2251 | −0.0083 | 0.0062 | 0.1023 | 0.1092 | −0.0004 | 0.0045 | | 0.0373 | 0.1438 | −0.0064 | 0.0049 | 0.0306 | 0.4561 | −0.0045 | 0.0064 |
| 3 | 30 | | −0.6898 | 1.7822 | −0.0026 | 0.1054 | −0.4916 | 1.0311 | −0.0101 | 0.1357 | | 0.9339 | 10.4192 | −0.0348 | 0.0685 | 0.5875 | 5.2078 | −0.0263 | 0.0934 | | 1.5259 | 10.5863 | −0.0581 | 0.1057 | 0.9608 | 5.9980 | −0.0252 | 0.0891 | | 0.3771 | 2.7854 | 0.0451 | 0.0909 | 0.8456 | 9.9552 | −0.0161 | 0.1125 | 70 | | −0.6936 | 1.3025 | −0.0004 | 0.0283 | −0.4240 | 0.7049 | −0.0079 | 0.0323 | | 0.5995 | 5.5597 | −0.0336 | 0.0319 | 0.7208 | 4.3036 | −0.0227 | 0.0276 | | 0.8973 | 4.5855 | −0.0218 | 0.0362 | 0.4344 | 3.7110 | −0.0188 | 0.0314 | | 0.0863 | 0.9616 | −0.0041 | 0.0221 | 0.7759 | 9.5984 | 0.0030 | 0.0353 | 150 | | −0.4045 | 0.7562 | −0.0024 | 0.0246 | −0.2864 | 0.4528 | −0.0088 | 0.0243 | | 0.5395 | 3.1483 | −0.0043 | 0.0252 | 0.5922 | 2.7309 | −0.0113 | 0.0204 | | 0.3132 | 2.7684 | −0.0180 | 0.0268 | 0.1767 | 2.6308 | −0.0174 | 0.0270 | | 0.1129 | 0.6149 | 0.0007 | 0.0130 | 0.5947 | 5.4817 | 0.0037 | 0.0255 | 200 | | −0.3160 | 0.4131 | 0.0007 | 0.0060 | −0.1378 | 0.2110 | 0.0019 | 0.0070 | | 0.2804 | 0.8734 | −0.0102 | 0.0067 | 0.2864 | 0.9394 | −0.0035 | 0.0055 | | 0.1636 | 1.3895 | −0.0075 | 0.0081 | 0.0428 | 1.4592 | −0.0057 | 0.0072 | | 0.0105 | 0.1054 | 0.0013 | 0.0043 | 0.2357 | 2.0228 | −0.0033 | 0.0065 |
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