Research Article
Weighted Moments Estimators of the Parameters for the Extreme Value Distribution Based on the Multiply Type II Censored Sample
Table 3
MSEs of BLUE and WMEs of the location parameter
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| Censoring scheme type II | | | | | The simulated MSEs of BLUE and exact MSEs of WMEs | BLUE | WME1 | WME2 | WME3 | WME4 | WME/BLUE |
| Multiply | 2 | 5 | 2 | 2 | 0.081471* | 0.084486 | 0.088129 | 0.087748 | 0.089356 | 1.037007 | | 3 | 5 | 2 | 1 | 0.087399* | 0.093767 | 0.097813 | 0.091590 | 0.098849 | 1.047952 | | 3 | 5 | 1 | 2 | 0.087310* | 0.093792 | 0.094834 | 0.091504 | 0.096280 | 1.048036 | | 2 | 5 | 3 | 1 | 0.081571* | 0.084650 | 0.090575 | 0.085397 | 0.091483 | 1.037746 | | 2 | 5 | 1 | 3 | 0.081668* | 0.084633 | 0.086168 | 0.090419 | 0.087180 | 1.036306 | | 1 | 5 | 3 | 2 | 0.078327 | 0.076445* | 0.083378 | 0.085178 | 0.083145 | 0.975973 | | 1 | 5 | 2 | 3 | 0.078619 | 0.076260* | 0.081964 | 0.089104 | 0.081176 | 0.969995 | | 4 | 5 | 1 | 1 | 0.097020* | 0.105156 | 0.107617 | 0.100723 | 0.107746 | 1.038167 | | 1 | 3 | 7 | 1 | 0.083615 | 0.076417* | 0.089073 | 0.089757 | 0.086154 | 0.913925 | | 1 | 5 | 1 | 4 | 0.079463 | 0.076634* | 0.081216 | 0.093448 | 0.079339 | 0.964399 | Middle | 0 | 3 | 6 | 0 | 0.075444 | 0.071020* | 0.079400 | 0.084294 | 0.079400 | 0.941360 |
| | | | | | BLUE | WME5 | WME6 | WME7 | WME8 | WME/BLUE |
| Right | 0 | 0 | 0 | 8 | 0.095452 | 0.105177 | 0.094909 | 0.105177 | 0.094913* | 0.99431 | Left | 8 | 3 | 0 | 0 | 0.228809* | 0.234311 | 0.234311 | 0.463530 | 0.463530 | 1.02405 | Doubly | 7 | 3 | 0 | 2 | 0.182548* | 0.184806 | 0.186032 | 0.310332 | 0.268930 | 1.01237 |
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The smallest MSE among the proposed WMEs and BLUE.
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