Research Article
[Retracted] Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data
Table 2
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 |
| 0.5 | 30 | | 0.2234 | 1.3192 | −0.0571 | 0.1101 | 0.1057 | 0.5171 | −0.0292 | 0.0957 | | 0.2155 | 8.8678 | 0.0025 | 0.1119 | −0.2657 | 2.6640 | 0.0056 | 0.1101 | | 0.7288 | 6.6163 | −0.0177 | 0.0883 | 0.6797 | 2.8948 | −0.0474 | 0.0687 | | 0.5717 | 5.5573 | 0.0139 | 0.0535 | 0.6411 | 9.8986 | −0.0285 | 0.1085 | 70 | | 0.0565 | 0.9048 | −0.0155 | 0.0298 | 0.0954 | 0.3111 | −0.0119 | 0.0304 | | 0.0168 | 3.6365 | −0.0194 | 0.0301 | −0.1759 | 1.2053 | −0.0051 | 0.0262 | | 0.2718 | 2.7239 | −0.0203 | 0.0316 | 0.3094 | 1.1250 | −0.0149 | 0.0300 | | 0.2262 | 1.9272 | 0.0014 | 0.0197 | 0.3733 | 7.0686 | −0.0003 | 0.0335 | 150 | | 0.0826 | 0.6743 | −0.0187 | 0.0269 | 0.0326 | 0.1921 | −0.0013 | 0.0216 | | 0.1547 | 3.0759 | −0.0044 | 0.0227 | −0.2055 | 0.4865 | −0.0038 | 0.0205 | | 0.0107 | 1.8665 | −0.0170 | 0.0246 | 0.2044 | 0.4764 | −0.0012 | 0.0200 | | 0.2081 | 1.3476 | −0.00001 | 0.0155 | −0.0034 | 2.7353 | 0.0001 | 0.0258 | 200 | | 0.0121 | 0.3445 | 0.00004 | 0.0064 | 0.0015 | 0.0763 | −0.0033 | 0.0063 | | −0.0127 | 0.9029 | −0.0012 | 0.0058 | −0.1218 | 0.2391 | 0.0017 | 0.0059 | | 0.0517 | 0.6778 | −0.0063 | 0.0066 | 0.1161 | 0.1799 | −0.0056 | 0.0053 | | 0.0401 | 0.3068 | 0.0013 | 0.0043 | −0.0460 | 1.2654 | −0.0002 | 0.0059 | 3 | 30 | | 0.5940 | 2.3168 | −0.0579 | 0.1390 | 0.1581 | 1.38285 | −0.0576 | 0.11203 | | 0.0865 | 5.9463 | −0.0084 | 0.0992 | −0.2814 | 2.56117 | 0.0197 | 0.10938 | | 0.9393 | 9.0583 | −0.0141 | 0.1159 | 1.1403 | 5.1957 | −0.0045 | 0.1068 | | 0.5021 | 3.3756 | 0.0013 | 0.0544 | 0.2552 | 9.34188 | −0.0265 | 0.12716 | 70 | | 0.4157 | 1.2562 | −0.0165 | 0.0327 | 0.1110 | 0.45985 | −0.0051 | 0.03112 | | 0.0020 | 3.1157 | −0.0081 | 0.0297 | −0.1964 | 1.6083 | −0.0062 | 0.0274 | | 0.4155 | 3.8968 | −0.0107 | 0.0295 | 0.6467 | 2.39636 | −0.0168 | 0.02602 | | 0.2856 | 1.5833 | −0.0040 | 0.0207 | 0.1558 | 4.69425 | −0.0031 | 0.03366 | 150 | | 0.2229 | 0.6404 | −0.0268 | 0.0249 | 0.1088 | 0.1939 | −0.0139 | 0.0266 | | −0.1318 | 1.2423 | 0.0052 | 0.0212 | −0.1068 | 0.99542 | 0.0015 | 0.02033 | | 0.3486 | 2.0025 | −0.0055 | 0.0249 | 0.3275 | 1.06376 | −0.0004 | 0.02312 | | 0.1034 | 0.6022 | 0.0004 | 0.0142 | 0.1821 | 2.7484 | −0.0116 | 0.0256 | 200 | | 0.0952 | 0.2498 | −0.0003 | 0.0058 | 0.0622 | 0.06397 | −0.0057 | 0.00671 | | −0.1570 | 0.5557 | −0.0010 | 0.0061 | −0.0534 | 0.58078 | −0.0028 | 0.00549 | | 0.2533 | 0.7987 | 0.0012 | 0.0061 | 0.1733 | 0.5270 | −0.0043 | 0.0058 | | 0.0112 | 0.1641 | 0.0020 | 0.0042 | 0.1292 | 1.52845 | −0.0012 | 0.00647 |
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