Research Article
Locally Most Powerful Test for the Random Coefficient Autoregressive Model
Table 4
Empirical powers of LMP and EL tests at nominal level 0.05 for model A1.
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| 100 | LMP | 0.165 | 0.102 | 0.171 | 0.110 | 0.171 | 0.107 | 0.174 | 0.090 | | EL | 0.055 | 0.024 | 0.040 | 0.023 | 0.050 | 0.022 | 0.041 | 0.025 | 200 | LMP | 0.318 | 0.143 | 0.294 | 0.147 | 0.320 | 0.140 | 0.311 | 0.160 | | EL | 0.191 | 0.070 | 0.156 | 0.073 | 0.202 | 0.049 | 0.155 | 0.067 | 300 | LMP | 0.513 | 0.209 | 0.494 | 0.253 | 0.511 | 0.175 | 0.449 | 0.241 | | EL | 0.405 | 0.144 | 0.332 | 0.173 | 0.397 | 0.124 | 0.294 | 0.168 | 400 | LMP | 0.674 | 0.232 | 0.561 | 0.330 | 0.663 | 0.264 | 0.590 | 0.338 | | EL | 0.578 | 0.176 | 0.456 | 0.272 | 0.559 | 0.189 | 0.450 | 0.260 | 500 | LMP | 0.791 | 0.377 | 0.720 | 0.427 | 0.770 | 0.374 | 0.725 | 0.438 | | EL | 0.722 | 0.298 | 0.629 | 0.366 | 0.705 | 0.303 | 0.625 | 0.374 | 600 | LMP | 0.842 | 0.415 | 0.792 | 0.521 | 0.832 | 0.424 | 0.790 | 0.508 | | EL | 0.798 | 0.352 | 0.717 | 0.460 | 0.793 | 0.365 | 0.712 | 0.458 | 700 | LMP | 0.912 | 0.483 | 0.862 | 0.598 | 0.919 | 0.478 | 0.855 | 0.598 | | EL | 0.882 | 0.429 | 0.809 | 0.541 | 0.885 | 0.423 | 0.794 | 0.536 | 800 | LMP | 0.964 | 0.560 | 0.915 | 0.645 | 0.947 | 0.568 | 0.918 | 0.643 | | EL | 0.938 | 0.512 | 0.877 | 0.604 | 0.928 | 0.516 | 0.872 | 0.599 | 900 | LMP | 0.967 | 0.633 | 0.936 | 0.727 | 0.971 | 0.623 | 0.955 | 0.703 | | EL | 0.952 | 0.586 | 0.910 | 0.696 | 0.959 | 0.586 | 0.933 | 0.687 | 1000 | LMP | 0.988 | 0.712 | 0.963 | 0.799 | 0.978 | 0.702 | 0.962 | 0.776 | | EL | 0.981 | 0.678 | 0.942 | 0.774 | 0.969 | 0.676 | 0.938 | 0.749 | 5000 | LMP | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | | EL | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 |
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