Table 8.
Estimated MSE for different estimators at p = 9 and
.
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n | PIGMLE | PIGRRE | PIGGRE | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| MLE | ![]() |
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| 0.80 | 30 | 7.06866 | 6.52061 | 6.01562 | 6.44942 | 4.25378 | 3.5949 | 3.02618 | 1.42379 | 0.97861 | 3.66112 | 1.52125 |
| 75 | 2.04102 | 1.77469 | 1.56616 | 1.78387 | 1.1806 | 0.98454 | 0.78045 | 0.24191 | 0.15483 | 0.94489 | 0.26642 | |
| 150 | 0.79185 | 0.74977 | 0.71275 | 0.74773 | 0.51018 | 0.42981 | 0.34364 | 0.10325 | 0.06801 | 0.39445 | 0.11383 | |
| 200 | 0.47735 | 0.46198 | 0.44757 | 0.45771 | 0.3103 | 0.26314 | 0.21152 | 0.06693 | 0.04846 | 0.23778 | 0.07294 | |
| 300 | 0.36382 | 0.3563 | 0.34909 | 0.35324 | 0.24516 | 0.20947 | 0.16983 | 0.0543 | 0.03974 | 0.18639 | 0.05916 | |
| 400 | 0.23405 | 0.22976 | 0.2256 | 0.22736 | 0.1501 | 0.12686 | 0.10041 | 0.03031 | 0.0261 | 0.10826 | 0.03244 | |
| 0.85 | 30 | 12.2065 | 11.96343 | 9.22308 | 10.20689 | 5.29031 | 4.58022 | 3.59615 | 1.396 | 0.82003 | 3.43257 | 1.27171 |
| 75 | 2.15174 | 1.93216 | 1.76066 | 1.97197 | 1.36983 | 1.15279 | 0.93559 | 0.32023 | 0.20626 | 1.11523 | 0.35115 | |
| 150 | 0.99095 | 0.93454 | 0.88553 | 0.93354 | 0.64419 | 0.54648 | 0.44385 | 0.15374 | 0.10228 | 0.51256 | 0.16767 | |
| 200 | 0.66282 | 0.63483 | 0.60928 | 0.63056 | 0.42024 | 0.35439 | 0.28219 | 0.0811 | 0.05387 | 0.32245 | 0.08974 | |
| 300 | 0.46491 | 0.45237 | 0.4405 | 0.44864 | 0.30967 | 0.26296 | 0.21237 | 0.06424 | 0.04226 | 0.23762 | 0.07101 | |
| 400 | 0.3686 | 0.35947 | 0.35071 | 0.35571 | 0.23483 | 0.19676 | 0.15513 | 0.04161 | 0.02914 | 0.17084 | 0.04604 | |
| 0.90 | 30 | 16.1216 | 14.12896 | 12.38458 | 13.55324 | 6.62773 | 5.25457 | 4.16014 | 1.57106 | 0.9913 | 5.48195 | 1.70696 |
| 75 | 3.15944 | 2.71129 | 2.34182 | 2.74773 | 1.69349 | 1.3901 | 1.07534 | 0.30093 | 0.18758 | 1.34573 | 0.33379 | |
| 150 | 1.36055 | 1.26435 | 1.18044 | 1.27819 | 0.87593 | 0.73646 | 0.59065 | 0.18277 | 0.11283 | 0.69982 | 0.20213 | |
| 200 | 1.22283 | 1.10382 | 1.00116 | 1.1175 | 0.70701 | 0.57373 | 0.43502 | 0.09034 | 0.05384 | 0.52193 | 0.10317 | |
| 300 | 0.70297 | 0.66275 | 0.62604 | 0.65764 | 0.39805 | 0.32487 | 0.24441 | 0.05014 | 0.03332 | 0.28604 | 0.05662 | |
| 400 | 0.49001 | 0.47002 | 0.45166 | 0.46402 | 0.29606 | 0.24658 | 0.19181 | 0.04826 | 0.03177 | 0.2169 | 0.05384 | |
| 0.95 | 30 | 57.5364 | 50.65413 | 45.10653 | 47.68283 | 16.88082 | 12.80335 | 9.99353 | 3.85353 | 2.51441 | 14.40752 | 4.16851 |
| 75 | 6.07069 | 5.34264 | 4.71659 | 5.37574 | 3.32054 | 2.72268 | 2.14339 | 0.71872 | 0.46314 | 2.75744 | 0.78464 | |
| 150 | 3.11469 | 2.79998 | 2.5222 | 2.86519 | 1.76555 | 1.42049 | 1.08569 | 0.26084 | 0.14953 | 1.39067 | 0.295 | |
| 200 | 2.2451 | 1.94156 | 1.69362 | 1.98443 | 1.17039 | 0.94121 | 0.70439 | 0.15085 | 0.08831 | 0.89358 | 0.17148 | |
| 300 | 1.14368 | 1.03288 | 0.94162 | 1.03812 | 0.63089 | 0.51417 | 0.38779 | 0.08171 | 0.04835 | 0.4712 | 0.09305 | |
| 400 | 0.95289 | 0.90168 | 0.85529 | 0.90192 | 0.598 | 0.49409 | 0.38736 | 0.1001 | 0.05768 | 0.45761 | 0.11276 | |
| 0.99 | 30 | 108.40914 | 101.72837 | 95.56783 | 100.73019 | 56.64332 | 45.47928 | 36.82599 | 15.56412 | 10.22591 | 51.99598 | 16.75204 |
| 75 | 34.77464 | 30.75336 | 27.24856 | 30.51649 | 16.1249 | 12.52277 | 9.30831 | 2.29935 | 1.28055 | 13.95642 | 2.58621 | |
| 150 | 19.55027 | 16.98758 | 14.74125 | 16.98293 | 9.065 | 7.00506 | 5.14027 | 1.14291 | 0.59838 | 7.65428 | 1.30046 | |
| 200 | 10.72963 | 8.95639 | 7.4008 | 9.18044 | 4.64182 | 3.49441 | 2.42921 | 0.36963 | 0.20193 | 3.6507 | 0.43094 | |
| 300 | 6.71319 | 5.63807 | 4.69959 | 5.78008 | 3.15813 | 2.44236 | 1.75644 | 0.3161 | 0.16521 | 2.47979 | 0.36583 | |
| 400 | 4.92142 | 4.18446 | 3.53909 | 4.36078 | 2.45692 | 1.88906 | 1.3606 | 0.24214 | 0.12627 | 1.88982 | 0.28059 | |
Bolded values indicate the lowest MSE.










