Research Article
Harmonic Mixture Fréchet Distribution: Properties and Applications to Lifetime Data
Table 4
Results of simulations for
.
| Parameter | N | AB | MSE | MLE | CVM | ADE | OLS | WLS | MLE | CVM | ADE | OLS | WLS |
| | 30 | 0.0397 | 0.1804 | 0.1593 | 0.1725 | 0.1411 | 0.0052 | 0.1028 | 0.0862 | 0.0963 | 0.0716 | 80 | 0.0252 | 0.0471 | 0.0605 | 0.0643 | 0.0547 | 0.0101 | 0.0216 | 0.0321 | 0.0356 | 0.0265 | 200 | 0.0085 | 0.0170 | 0.0212 | 0.0226 | 0.0281 | 0.0022 | 0.0069 | 0.0102 | 0.0115 | 0.0166 | 500 | 0.0033 | 0.0079 | 0.0104 | 0.0086 | 0.0108 | 0.0009 | 0.0036 | 0.0058 | 0.0043 | 0.0084 | 1000 | 0.0021 | 0.0028 | 0.0031 | 0.0040 | 0.0054 | 0.0007 | 0.0012 | 0.0015 | 0.0019 | 0.0030 |
| | 30 | 0.1962 | 1.8964 | 0.7341 | 0.7792 | 1.5758 | 0.1157 | 43.3902 | 2.5628 | 3.7316 | 14.0697 | 80 | 0.1201 | 0.1195 | 0.1885 | 0.2833 | 0.4779 | 0.3647 | 0.1259 | 0.3187 | 1.5290 | 5.5306 | 200 | 0.0137 | 0.0682 | 0.0713 | 0.0580 | 0.1401 | 0.0064 | 0.1221 | 0.1154 | 0.0713 | 1.1412 | 500 | 0.0087 | 0.0234 | 0.0391 | 0.0293 | 0.0294 | 0.0049 | 0.0294 | 0.0847 | 0.0540 | 0.0633 | 1000 | 0.0028 | 0.0135 | 0.0144 | 0.0147 | 0.0160 | 0.0011 | 0.0201 | 0.0226 | 0.0239 | 0.0349 |
| a | 30 | 0.9392 | 0.5936 | 0.6302 | 0.5772 | 0.5310 | 3.1812 | 1.0588 | 1.2182 | 1.0034 | 0.9115 | 80 | 0.0835 | 0.2223 | 0.2251 | 0.2250 | 0.2071 | 0.0941 | 0.3960 | 0.4058 | 0.4054 | 0.3508 | 200 | 0.0194 | 0.0922 | 0.0899 | 0.0911 | 0.0872 | 0.0175 | 0.1700 | 0.1619 | 0.1660 | 0.1527 | 500 | 0.0060 | 0.0368 | 0.0364 | 0.0366 | 0.0366 | 0.0026 | 0.0678 | 0.0664 | 0.0671 | 0.0672 | 1000 | 0.0016 | 0.0185 | 0.0185 | 0.0183 | 0.0179 | 0.0005 | 0.0342 | 0.0342 | 0.0335 | 0.0319 |
| b | 30 | 0.2714 | 0.7922 | 0.5353 | 0.5297 | 0.4047 | 0.2494 | 2.7916 | 1.0165 | 0.9186 | 0.6813 | 80 | 0.0731 | 0.2248 | 0.1938 | 0.2240 | 0.3997 | 0.0841 | 0.4282 | 0.3957 | 0.4433 | 4.3132 | 200 | 0.0155 | 0.0932 | 0.0554 | 0.1049 | 0.0778 | 0.0078 | 0.1807 | 0.1010 | 0.2259 | 0.1350 | 500 | 0.0061 | 0.0312 | 0.0342 | 0.0353 | 0.0344 | 0.0022 | 0.0620 | 0.0740 | 0.0714 | 0.0876 | 1000 | 0.0016 | 0.0108 | 0.0114 | 0.0120 | 0.0208 | 0.0004 | 0.0192 | 0.0192 | 0.0240 | 0.0439 |
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