Research Article
The Mixed Liu Estimator in Stochastic Restricted Linear Measurement Error Model
Table 1
MSE values of the estimator for different values of
and
when
and
.
| d | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 |
| | OME | 0.3466 | 0.3466 | 0.3466 | 0.3466 | 0.3466 | 0.3466 | 0.3466 | 0.3466 | 0.3466 | LE | 0.3630 | 0.3740 | 0.3851 | 0.3964 | 0.4080 | 0.4196 | 0.4315 | 0.4436 | 0.4558 | MLE | 0.2849 | 0.2914 | 0.2979 | 0.3046 | 0.3113 | 0.3182 | 0.3251 | 0.3322 | 0.3394 | NMLE | 0.2839 | 0.2905 | 0.2972 | 0.3040 | 0.3109 | 0.3179 | 0.3249 | 0.3321 | 0.3393 |
| | OME | 0.7517 | 0.7517 | 0.7517 | 0.7517 | 0.7517 | 0.7517 | 0.7517 | 0.7517 | 0.7517 | LE | 0.7320 | 0.7899 | 0.8503 | 0.9132 | 0.9787 | 1.0467 | 1.1172 | 1.1903 | 1.2659 | MLE | 0.5077 | 0.5311 | 0.5554 | 0.5806 | 0.6068 | 0.6339 | 0.6620 | 0.6910 | 0.7209 | NMLE | 0.4947 | 0.5202 | 0.5464 | 0.5734 | 0.6012 | 0.6297 | 0.6590 | 0.6891 | 0.7200 |
| | OME | 2.2716 | 2.2716 | 2.2716 | 2.2716 | 2.2716 | 2.2716 | 2.2716 | 2.2716 | 2.2716 | LE | 1.5203 | 1.9326 | 2.4041 | 2.9348 | 3.5247 | 4.1739 | 4.8823 | 5.6499 | 6.4768 | MLE | 0.9794 | 1.0775 | 1.1870 | 1.3078 | 1.4400 | 1.5836 | 1.7386 | 1.9049 | 2.0826 | NMLE | 0.8374 | 0.9553 | 1.0835 | 1.2221 | 1.3711 | 1.5305 | 1.7002 | 1.8803 | 2.0708 |
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