Research Article
Fractional Entropy-Based Test of Uniformity with Power Comparisons
Table 2
Power estimates of the tests at level
.
| | Alternative | | | K-S | V | | | | 0.1 | 0.5 | 0.9 |
| 10 | | 0.10708 | 0.0908 | 0.07208 | 0.14002 | 0.12616 | 0.0756 | 0.1456 | 0.07776 | 0.1877 | | 0.2771 | 0.2327 | 0.15104 | 0.3414 | 0.30298 | 0.1631 | 0.3551 | 0.16308 | 0.4761 | | 0.10406 | 0.1314 | 0.1302 | 0.0896 | 0.07352 | 0.0971 | 0.0741 | 0.1017 | 0.1349 | | 0.2427 | 0.3379 | 0.3357 | 0.21402 | 0.1184 | 0.2307 | 0.1104 | 0.2481 | 0.3269 | | 0.5763 | 0.7662 | 0.7723 | 0.5516 | 0.2424 | 0.5394 | 0.2154 | 0.5699 | 0.72308 | | 0.0843 | 0.119 | 0.1217 | 0.0942 | 0.0342 | 0.0974 | 0.0239 | 0.1031 | 0.0222 | | 0.1354 | 0.2478 | 0.2543 | 0.1723 | 0.0402 | 0.2333 | 0.01114 | 0.2475 | 0.00924 |
| 20 | | 0.2496 | 0.1975 | 0.0909 | 0.2543 | 0.2179 | 0.1226 | 0.25208 | 0.1225 | 0.3235 | | 0.6679 | 0.5672 | 0.2654 | 0.637 | 0.5616 | 0.3486 | 0.6241 | 0.3358 | 0.7538 | | 0.1449 | 0.2828 | 0.2797 | 0.2047 | 0.0869 | 0.1634 | 0.0781 | 0.1786 | 0.1774 | | 0.38602 | 0.7223 | 0.7222 | 0.5511 | 0.1849 | 0.4647 | 0.162 | 0.5067 | 0.52802 | | 0.8104 | 0.9923 | 0.9931 | 0.954 | 0.4588 | 0.8711 | 0.4615 | 0.8978 | 0.93998 | | 0.0941 | 0.1979 | 0.2101 | 0.1516 | 0.0509 | 0.1621 | 0.02406 | 0.1791 | 0.0213 | | 0.1509 | 0.4551 | 0.4833 | 0.3296 | 0.1162 | 0.4633 | 0.0462 | 0.5048 | 0.0338 |
| 30 | | 0.4045 | 0.3273 | 0.1158 | 0.3686 | 0.3144 | 0.18002 | 0.366 | 0.1721 | 0.4498 | | 0.8856 | 0.8061 | 0.3854 | 0.8285 | 0.7522 | 0.5447 | 0.8105 | 0.5071 | 0.8973 | | 0.1707 | 0.4466 | 0.4481 | 0.3331 | 0.1021 | 0.2477 | 0.0873 | 0.2667 | 0.2281 | | 0.4794 | 0.9148 | 0.9173 | 0.7985 | 0.2706 | 0.6695 | 0.25108 | 0.7076 | 0.7002 | | 0.9007 | 0.99994 | 0.99998 | 0.9983 | 0.6701 | 0.97506 | 0.7237 | 0.9819 | 0.99104 | | 0.1021 | 0.2759 | 0.2938 | 0.2084 | 0.07 | 0.2492 | 0.0303 | 0.2678 | 0.0271 | | 0.1627 | 0.6123 | 0.6513 | 0.4736 | 0.2077 | 0.6711 | 0.1258 | 0.7111 | 0.1105 |
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