Research Article
The Exponentiated Gumbel Type-2 Distribution: Properties and Application
Table 6
Monte-Carlo simulation results of the estimators bias and mse of the EG type-2 distribution with parameters:
,
, and
for different sample sizes.
| Sample size | | | | | | |
| 25 | 954.2346 | 5.1225 | 3.1140 | | 29378.3413 | 120.9573 | 50 | 115.7143 | 0.4324 | 0.8491 | | 2.6162 | 14.2029 | 75 | 20.7643 | 0.2555 | 0.3847 | | 0.8168 | 4.7864 | 100 | 1.9487 | 0.1628 | 0.2897 | 781.3449 | 0.4949 | 2.8228 | 125 | 1.3378 | 0.1331 | 0.2224 | 275.8201 | 0.3733 | 2.0829 | 150 | 0.7404 | 0.1022 | 0.1856 | 12.4991 | 0.2861 | 1.6240 | 175 | 0.6405 | 0.0926 | 0.1459 | 9.6992 | 0.2455 | 1.3270 | 200 | 0.5112 | 0.0785 | 0.1310 | 4.9943 | 0.2067 | 1.1506 | 225 | 0.4261 | 0.0684 | 0.1207 | 4.2683 | 0.1778 | 0.9854 | 250 | 0.3987 | 0.0598 | 0.0902 | 3.0285 | 0.1626 | 0.8556 | 275 | 0.3271 | 0.0538 | 0.0939 | 2.4246 | 0.1397 | 0.7778 | 300 | 0.2975 | 0.0468 | 0.0901 | 2.1878 | 0.1309 | 0.7130 | 325 | 0.2727 | 0.0499 | 0.0834 | 1.8209 | 0.1202 | 0.6564 | 350 | 0.2506 | 0.0458 | 0.0683 | 1.5489 | 0.1086 | 0.5836 | 375 | 0.2390 | 0.0398 | 0.0645 | 1.4850 | 0.1053 | 0.5496 | 400 | 0.2020 | 0.0337 | 0.0716 | 1.2834 | 0.0941 | 0.5181 | 425 | 0.2035 | 0.0379 | 0.0564 | 1.1500 | 0.0870 | 0.4774 | 450 | 0.2039 | 0.0344 | 0.0396 | 1.1138 | 0.0841 | 0.4465 | 475 | 0.1827 | 0.0328 | 0.0502 | 1.0193 | 0.0793 | 0.4213 | 500 | 0.1648 | 0.0334 | 0.0533 | 0.9355 | 0.0753 | 0.4029 |
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