Research Article
A New Conway Maxwell–Poisson Liu Regression Estimator—Method and Application
Table 2
Estimated MSEs of the COMPRM estimators, when
and
.
| n | ρ | MLE | | | | | | | | | | | | |
| 50 | 0.80 | 2.684 | 1.040 | 1.180 | 1.784 | 0.799 | 0.969 | 1.037 | 1.492 | 0.783 | 0.969 | 0.947 | 1.492 | 0.768 | 0.90 | 4.934 | 1.608 | 1.901 | 3.281 | 0.969 | 1.335 | 1.377 | 2.469 | 0.872 | 1.199 | 1.081 | 2.469 | 0.778 | 0.95 | 9.097 | 2.605 | 2.899 | 6.515 | 1.004 | 1.745 | 1.752 | 4.216 | 0.670 | 1.420 | 1.142 | 4.216 | 0.594 | 0.99 | 47.502 | 14.233 | 16.051 | 40.438 | 4.406 | 6.521 | 6.897 | 20.815 | 0.493 | 4.362 | 3.026 | 20.815 | 0.416 |
| 100 | 0.80 | 2.394 | 0.804 | 0.899 | 1.425 | 0.678 | 0.773 | 0.820 | 1.249 | 0.674 | 0.803 | 0.774 | 1.249 | 0.673 | 0.90 | 4.481 | 1.225 | 1.330 | 2.696 | 0.695 | 1.010 | 1.014 | 2.001 | 0.645 | 0.952 | 0.844 | 2.001 | 0.611 | 0.95 | 9.434 | 2.326 | 2.676 | 6.488 | 0.709 | 1.721 | 1.698 | 4.536 | 0.568 | 1.452 | 1.145 | 4.536 | 0.520 | 0.99 | 42.393 | 10.322 | 11.148 | 34.381 | 2.227 | 5.431 | 5.614 | 18.029 | 0.316 | 3.627 | 2.361 | 18.029 | 0.275 |
| 150 | 0.80 | 2.265 | 0.759 | 0.884 | 1.287 | 0.653 | 0.732 | 0.805 | 1.158 | 0.648 | 0.758 | 0.740 | 1.158 | 0.644 | 0.90 | 3.848 | 1.082 | 1.210 | 2.182 | 0.705 | 0.917 | 0.949 | 1.787 | 0.626 | 0.847 | 0.759 | 1.787 | 0.569 | 0.95 | 7.873 | 1.634 | 1.871 | 4.965 | 0.652 | 1.345 | 1.33 | 3.485 | 0.565 | 1.220 | 0.992 | 3.485 | 0.537 | 0.99 | 36.490 | 7.785 | 8.920 | 27.795 | 1.090 | 4.670 | 4.898 | 15.420 | 0.278 | 3.248 | 2.237 | 15.420 | 0.258 |
| 200 | 0.80 | 2.259 | 0.735 | 0.820 | 1.244 | 0.631 | 0.715 | 0.763 | 1.120 | 0.628 | 0.744 | 0.728 | 1.120 | 0.626 | 0.90 | 4.343 | 1.058 | 1.244 | 2.572 | 0.674 | 0.978 | 1.029 | 2.129 | 0.638 | 0.970 | 0.853 | 2.129 | 0.620 | 0.95 | 8.051 | 1.579 | 1.834 | 4.819 | 0.671 | 1.326 | 1.310 | 3.490 | 0.528 | 1.235 | 1.026 | 3.490 | 0.500 | 0.99 | 37.898 | 8.962 | 9.045 | 30.023 | 1.677 | 4.887 | 5.054 | 16.270 | 0.261 | 3.286 | 2.172 | 16.270 | 0.231 |
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