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.


100LMP0.165 0.102 0.171 0.110 0.1710.107 0.174 0.090
EL 0.055 0.024 0.040 0.023 0.0500.022 0.041 0.025
200LMP0.318 0.143 0.294 0.147 0.3200.140 0.311 0.160
EL 0.191 0.070 0.156 0.073 0.2020.049 0.155 0.067
300LMP0.513 0.209 0.494 0.253 0.5110.175 0.449 0.241
EL 0.405 0.144 0.332 0.173 0.3970.124 0.294 0.168
400LMP0.674 0.232 0.561 0.330 0.6630.264 0.590 0.338
EL 0.578 0.176 0.456 0.272 0.5590.189 0.450 0.260
500LMP0.791 0.377 0.720 0.427 0.7700.374 0.725 0.438
EL 0.722 0.298 0.629 0.366 0.7050.303 0.625 0.374
600LMP0.842 0.415 0.792 0.521 0.8320.424 0.790 0.508
EL 0.798 0.352 0.717 0.460 0.7930.365 0.712 0.458
700LMP0.912 0.483 0.862 0.598 0.9190.478 0.855 0.598
EL 0.882 0.429 0.809 0.541 0.8850.423 0.794 0.536
800LMP0.964 0.560 0.915 0.645 0.9470.568 0.918 0.643
EL 0.938 0.512 0.877 0.604 0.9280.516 0.872 0.599
900LMP0.967 0.633 0.936 0.727 0.9710.623 0.955 0.703
EL 0.952 0.586 0.910 0.696 0.9590.586 0.933 0.687
1000LMP0.988 0.712 0.963 0.799 0.9780.702 0.962 0.776
EL 0.981 0.678 0.942 0.774 0.9690.676 0.938 0.749
5000LMP1.000 1.000 1.000 1.0001.0001.000 1.000 1.000
EL1.000 1.000 1.000 1.000 1.0001.000 1.0001.000