Research Article
The Exponentiated Gumbel Type-2 Distribution: Properties and Application
Table 4
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 | 290.8201 | 0.4186 | 1.0361 | 6887509.5404 | 3.5666 | 8.9085 | 50 | 15.2755 | 0.1267 | 0.3183 | 360420.7341 | 0.9078 | 1.4415 | 75 | 0.6483 | 0.0741 | 0.1634 | 35.2238 | 0.4698 | 0.4955 | 100 | 0.3196 | 0.0463 | 0.1125 | 2.3757 | 0.3064 | 0.2742 | 125 | 0.2586 | 0.0401 | 0.0843 | 1.5383 | 0.2492 | 0.1922 | 150 | 0.1970 | 0.0334 | 0.0684 | 0.9283 | 0.2004 | 0.1516 | 175 | 0.1660 | 0.0332 | 0.0538 | 0.6348 | 0.1669 | 0.1230 | 200 | 0.1269 | 0.0208 | 0.0506 | 0.5025 | 0.1394 | 0.1020 | 225 | 0.1252 | 0.0272 | 0.0386 | 0.4383 | 0.1257 | 0.0886 | 250 | 0.1102 | 0.0251 | 0.0331 | 0.3388 | 0.1074 | 0.0755 | 275 | 0.0909 | 0.0168 | 0.0344 | 0.2927 | 0.0976 | 0.0686 | 300 | 0.0825 | 0.0152 | 0.0320 | 0.2677 | 0.0917 | 0.0641 | 325 | 0.0755 | 0.0152 | 0.0273 | 0.2359 | 0.0826 | 0.0566 | 350 | 0.0730 | 0.0146 | 0.0271 | 0.2191 | 0.0781 | 0.0534 | 375 | 0.0635 | 0.0104 | 0.0255 | 0.1980 | 0.0723 | 0.0493 | 400 | 0.0603 | 0.0129 | 0.0221 | 0.1784 | 0.0656 | 0.0443 | 425 | 0.0517 | 0.0086 | 0.0237 | 0.1654 | 0.0621 | 0.0418 | 450 | 0.0498 | 0.0096 | 0.0213 | 0.1524 | 0.0579 | 0.0391 | 475 | 0.0450 | 0.0079 | 0.0220 | 0.1449 | 0.0558 | 0.0376 | 500 | 0.0433 | 0.0069 | 0.0191 | 0.1329 | 0.0517 | 0.0350 |
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