Research Article
A New Conway Maxwell–Poisson Liu Regression Estimator—Method and Application
Table 5
Estimated MSEs of the COMPRM estimators, when
and
.
| n | ρ | MLE | | | | | | | | | | | | |
| 50 | 0.80 | 9.425 | 2.728 | 3.368 | 6.848 | 1.594 | 2.463 | 2.673 | 5.631 | 1.552 | 2.245 | 1.963 | 5.631 | 1.519 | 0.90 | 15.890 | 3.527 | 4.736 | 11.296 | 1.754 | 2.986 | 2.869 | 8.429 | 1.382 | 2.416 | 1.846 | 8.429 | 1.282 | 0.95 | 31.650 | 8.583 | 10.852 | 24.145 | 2.185 | 5.246 | 5.609 | 16.372 | 1.186 | 3.324 | 2.333 | 16.372 | 1.016 | 0.99 | 166.316 | 45.334 | 53.332 | 144.637 | 3.647 | 17.780 | 17.299 | 78.352 | 0.821 | 10.209 | 5.272 | 78.352 | 0.660 |
| 100 | 0.80 | 5.473 | 1.526 | 1.704 | 3.380 | 1.370 | 1.511 | 1.605 | 3.035 | 1.368 | 1.569 | 1.476 | 3.035 | 1.357 | 0.90 | 10.829 | 2.108 | 2.581 | 7.114 | 1.281 | 2.043 | 2.027 | 6.110 | 1.277 | 1.954 | 1.537 | 6.110 | 1.266 | 0.95 | 22.691 | 4.590 | 6.081 | 15.722 | 1.324 | 3.803 | 4.037 | 12.235 | 1.175 | 2.898 | 2.102 | 12.235 | 1.106 | 0.99 | 100.391 | 18.915 | 22.790 | 78.922 | 1.462 | 11.449 | 10.651 | 52.215 | 0.510 | 6.570 | 3.172 | 52.215 | 0.453 |
| 150 | 0.80 | 5.143 | 1.415 | 1.588 | 3.117 | 1.317 | 1.409 | 1.502 | 2.878 | 1.317 | 1.499 | 1.408 | 2.878 | 1.317 | 0.90 | 9.447 | 1.893 | 2.267 | 5.963 | 1.302 | 1.831 | 1.813 | 5.185 | 1.302 | 1.850 | 1.493 | 5.185 | 1.295 | 0.95 | 18.639 | 3.337 | 3.780 | 12.276 | 1.069 | 2.831 | 2.625 | 9.948 | 1.024 | 2.347 | 1.569 | 9.948 | 0.990 | 0.99 | 84.698 | 13.362 | 14.388 | 65.071 | 1.294 | 8.650 | 7.444 | 42.010 | 0.420 | 5.191 | 2.458 | 42.010 | 0.383 |
| 200 | 0.80 | 4.999 | 1.406 | 1.533 | 2.975 | 1.344 | 1.402 | 1.471 | 2.761 | 1.344 | 1.478 | 1.407 | 2.761 | 1.344 | 0.90 | 8.705 | 1.643 | 2.148 | 5.186 | 1.226 | 1.673 | 1.756 | 4.661 | 1.226 | 1.714 | 1.443 | 4.661 | 1.226 | 0.95 | 16.303 | 2.517 | 3.159 | 10.367 | 1.080 | 2.465 | 2.337 | 8.555 | 1.049 | 2.214 | 1.560 | 8.555 | 1.040 | 0.99 | 81.821 | 14.189 | 15.855 | 62.200 | 1.147 | 9.865 | 9.359 | 43.014 | 0.442 | 5.535 | 2.729 | 43.014 | 0.403 |
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