Research Article
[Retracted] Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data
Table 3
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 |
| 2 | 30 | | 0.3758 | 2.0520 | −0.0504 | 0.1184 | 0.1751 | 1.3836 | −0.0540 | 0.1333 | | 0.1679 | 7.5009 | −0.0406 | 0.1219 | −0.0944 | 3.4698 | −0.0152 | 0.1037 | | 1.2045 | 10.8415 | −0.0046 | 0.1205 | 1.0588 | 6.0416 | 0.0114 | 0.1023 | | 0.4812 | 3.8034 | 0.0184 | 0.0523 | 0.8747 | 9.6510 | −0.0330 | 0.1342 | 70 | | 0.1450 | 1.1987 | −0.0010 | 0.0338 | 0.2552 | 0.7051 | −0.0007 | 0.0292 | | −0.1459 | 2.9704 | −0.0025 | 0.0295 | −0.1261 | 1.7495 | −0.0012 | 0.0275 | | 0.7292 | 5.2783 | −0.0206 | 0.0307 | 0.5441 | 2.7962 | −0.0113 | 0.0273 | | 0.0962 | 0.7837 | 0.0040 | 0.0190 | 0.5367 | 7.7801 | −0.0064 | 0.0333 | 150 | | 0.1380 | 0.7847 | 0.0020 | 0.0247 | 0.1120 | 0.2308 | −0.0063 | 0.0263 | | −0.0373 | 1.3426 | −0.0046 | 0.0252 | −0.1260 | 0.9165 | −0.0007 | 0.0208 | | 0.2790 | 2.4414 | −0.0041 | 0.0288 | 0.3392 | 1.2381 | −0.0091 | 0.0231 | | 0.0879 | 0.4284 | 0.0054 | 0.0142 | 0.2194 | 3.2863 | −0.0066 | 0.0243 | 200 | | 0.0384 | 0.3915 | −0.0017 | 0.0065 | 0.0734 | 0.1321 | −0.0037 | 0.0061 | | −0.1123 | 0.4354 | 0.0009 | 0.0069 | −0.0612 | 0.5020 | 0.0042 | 0.0064 | | 0.2016 | 0.9034 | −0.0012 | 0.0064 | 0.1647 | 0.5829 | −0.0015 | 0.0059 | | 0.0069 | 0.1181 | −0.0038 | 0.0046 | 0.1241 | 1.5795 | 0.0004 | 0.0066 |
| 4 | 30 | | 0.2236 | 3.2384 | −0.0636 | 0.1240 | 0.2958 | 2.5922 | −0.0100 | 0.1290 | | −0.1682 | 7.2254 | −0.0192 | 0.1180 | −0.6578 | 7.8654 | −0.0266 | 0.1177 | | 1.1611 | 9.1960 | −0.0561 | 0.1317 | 1.5862 | 9.9355 | 0.0020 | 0.1226 | | 0.2173 | 1.4663 | 0.0239 | 0.0529 | 0.9513 | 9.4847 | −0.0503 | 0.1214 | 70 | | 0.2432 | 2.8862 | −0.0067 | 0.0291 | 0.2506 | 1.9412 | −0.0095 | 0.0343 | | 0.0337 | 5.1864 | −0.0036 | 0.0326 | −0.5213 | 4.9119 | −0.0199 | 0.0336 | | 0.3411 | 6.1987 | −0.0065 | 0.0278 | 0.8382 | 5.8843 | −0.0292 | 0.0346 | | 0.1539 | 0.7071 | 0.0074 | 0.0197 | 0.4678 | 10.9169 | −0.0150 | 0.0357 | 150 | | 0.0727 | 1.3884 | −0.0028 | 0.0246 | 0.0395 | 0.9230 | −0.0098 | 0.0262 | | −0.1128 | 1.7539 | −0.0143 | 0.0257 | −0.3259 | 2.2341 | 0.0030 | 0.0261 | | 0.2263 | 2.2326 | −0.0131 | 0.0249 | 0.4201 | 2.2449 | −0.0039 | 0.0222 | | 0.0540 | 0.2351 | 0.0067 | 0.0117 | 0.0980 | 3.8122 | −0.0031 | 0.0239 | 200 | | 0.0722 | 0.9579 | 0.0036 | 0.0074 | 0.0215 | 0.6763 | 0.0000 | 0.0060 | | −0.0290 | 1.1019 | −0.0035 | 0.0062 | −0.2542 | 1.3980 | −0.0041 | 0.0062 | | 0.0586 | 1.4141 | 0.0012 | 0.0065 | 0.2818 | 1.1992 | −0.0040 | 0.0073 | | 0.0331 | 0.1423 | 0.0021 | 0.0043 | 0.0397 | 2.1774 | 0.0021 | 0.0069 |
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