Research Article
Harmonic Mixture Fréchet Distribution: Properties and Applications to Lifetime Data
Table 3
Results of simulations for
.
| Parameter | N | AB | MSE | MLE | OLS | CVM | ADE | WLS | MLE | OLS | CVM | ADE | WLS |
| | 30 | 0.0303 | 0.1292 | 0.1780 | 0.1012 | 0.1007 | 0.0029 | 0.0915 | 0.1371 | 0.0711 | 0.0623 | 80 | 0.0176 | 0.0578 | 0.0399 | 0.0839 | 0.0747 | 0.0033 | 0.0432 | 0.0269 | 0.0665 | 0.0581 | 200 | 0.0084 | 0.0244 | 0.0196 | 0.0368 | 0.0317 | 0.0020 | 0.0174 | 0.0137 | 0.0285 | 0.0237 | 500 | 0.0051 | 0.0048 | 0.0033 | 0.0102 | 0.0139 | 0.0021 | 0.0027 | 0.0015 | 0.0076 | 0.0150 | 1000 | 0.0021 | 0.0027 | 0.0031 | 0.0041 | 0.0065 | 0.0007 | 0.0015 | 0.0020 | 0.0027 | 0.0050 |
| | 30 | 0.9495 | 0.6509 | 0.4217 | 0.6104 | 0.4967 | 8.6865 | 2.0680 | 0.7608 | 2.6243 | 1.0813 | 80 | 0.1080 | 0.1548 | 0.2570 | 0.2772 | 0.2072 | 0.1111 | 0.5255 | 0.8537 | 0.8980 | 0.5853 | 200 | 0.3186 | 0.0805 | 0.0907 | 0.0774 | 0.0500 | 17.0596 | 0.2452 | 0.3699 | 0.1284 | 0.0558 | 500 | 0.0175 | 0.0207 | 0.0184 | 0.0232 | 0.0222 | 0.0663 | 0.0242 | 0.0183 | 0.0285 | 0.0274 | 1000 | 0.0038 | 0.0094 | 0.0088 | 0.0118 | 0.0155 | 0.0027 | 0.0094 | 0.0080 | 0.0147 | 0.0364 |
| a | 30 | 0.4058 | 0.7828 | 0.7914 | 0.7884 | 0.7553 | 1.1336 | 1.8417 | 1.8804 | 1.8697 | 1.7393 | 80 | 0.1866 | 0.2984 | 0.2962 | 0.2937 | 0.2801 | 0.3763 | 0.7129 | 0.7023 | 0.6903 | 0.6427 | 200 | 0.0368 | 0.1171 | 0.1195 | 0.1183 | 0.1189 | 0.0388 | 0.2745 | 0.2860 | 0.2800 | 0.2831 | 500 | 0.0074 | 0.0482 | 0.0487 | 0.0482 | 0.0475 | 0.0036 | 0.1163 | 0.1185 | 0.1160 | 0.1131 | 1000 | 0.0026 | 0.0244 | 0.0245 | 0.0243 | 0.0224 | 0.0009 | 0.0595 | 0.0594 | 0.05893 | 0.0523 |
| b | 30 | 0.4053 | 0.4591 | 0.4153 | 0.2776 | 0.6006 | 0.7561 | 0.7929 | 0.6343 | 0.4020 | 1.5635 | 80 | 0.0948 | 0.1731 | 0.1889 | 0.2344 | 0.2546 | 0.0784 | 0.3260 | 0.3359 | 0.4829 | 0.6412 | 200 | 0.0993 | 0.0728 | 0.0546 | 0.1141 | 0.1101 | 1.2128 | 0.1384 | 0.0759 | 0.2750 | 0.2688 | 500 | 0.0066 | 0.0312 | 0.0225 | 0.0386 | 0.0470 | 0.0034 | 0.0582 | 0.0298 | 0.0859 | 0.1182 | 1000 | 0.0024 | 0.0135 | 0.0112 | 0.0168 | 0.0223 | 0.0008 | 0.0204 | 0.0126 | 0.0352 | 0.0569 |
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