Research Article
Alpha Power Moment Exponential Model with Applications to Biomedical Science
Table 14
Av and MSE of the M1, M2, M3, M4, M5, and M6 estimates for the APTME distribution when
ā=ā0.75.
| | | | M1 | M2 | M3 | M4 | M5 | M6 | | N | | Av | MSE | Av | MSE | Av | MSE | Av | MSE | Av | MSE | Av | MSE |
| 0.6 | 50 | | 0.6048 | 1.8540 | 0.7164 | 0.0501 | 0.7582 | 0.2131 | 0.6042 | 0.2494 | 0.7657 | 0.0530 | 0.7613 | 0.1332 | | 0.7266 | 0.0084 | 0.6190 | 0.0063 | 0.6340 | 0.0118 | 0.7272 | 0.0569 | 0.6084 | 0.0057 | 0.6202 | 0.0077 | 100 | | 0.5835 | 0.5012 | 0.7325 | 0.0781 | 0.7518 | 0.1149 | 0.5830 | 0.1882 | 0.7686 | 0.0734 | 0.7587 | 0.3026 | | 0.7054 | 0.0051 | 0.6154 | 0.0041 | 0.6184 | 0.0059 | 0.7056 | 0.0398 | 0.6075 | 0.0036 | 0.6230 | 0.0073 | 150 | | 0.6224 | 0.3268 | 0.7120 | 0.0627 | 0.7330 | 0.0484 | 0.6228 | 0.1340 | 0.7371 | 0.0616 | 0.7362 | 0.0715 | | 0.6708 | 0.0038 | 0.6202 | 0.0045 | 0.6129 | 0.0038 | 0.6707 | 0.0233 | 0.6143 | 0.0040 | 0.6170 | 0.0056 |
| 1.6 | 50 | | 0.7181 | 3.1035 | 0.8197 | 0.3032 | 0.9729 | 0.7892 | 0.7175 | 0.4372 | 0.9351 | 0.3729 | 0.9374 | 0.5236 | | 1.8711 | 0.0695 | 1.6799 | 0.0802 | 1.6818 | 0.1160 | 1.8721 | 0.2823 | 1.6235 | 0.0703 | 1.6663 | 0.1012 | 100 | | 0.6623 | 1.0816 | 0.8183 | 0.2913 | 0.8602 | 0.3958 | 0.6618 | 0.2863 | 0.9052 | 0.3539 | 0.8906 | 0.4263 | | 1.8261 | 0.0416 | 1.6686 | 0.0679 | 1.6796 | 0.0926 | 1.8266 | 0.1934 | 1.6291 | 0.0615 | 1.6587 | 0.0777 | 150 | | 0.6839 | 0.5367 | 0.8136 | 0.2271 | 0.8315 | 0.2679 | 0.6844 | 0.2063 | 0.8630 | 0.2511 | 0.8690 | 0.3038 | | 1.7557 | 0.0304 | 1.6485 | 0.0495 | 1.6481 | 0.0656 | 1.7554 | 0.1180 | 1.6237 | 0.0462 | 1.6332 | 0.0533 |
| 3 | 50 | | 0.7372 | 3.6222 | 1.0184 | 0.7520 | 1.1178 | 1.7233 | 0.7368 | 0.3908 | 1.1969 | 1.0144 | 1.2293 | 1.5815 | | 3.3658 | 0.1946 | 3.0547 | 0.2617 | 3.0988 | 0.3728 | 3.3668 | 0.5858 | 2.9415 | 0.2589 | 3.0392 | 0.3643 | 100 | | 0.6856 | 1.1972 | 0.8630 | 0.3485 | 0.9304 | 0.5941 | 0.6854 | 0.2436 | 0.9476 | 0.4131 | 0.9483 | 0.5652 | | 3.2965 | 0.1291 | 3.0824 | 0.1912 | 3.1012 | 0.2700 | 3.2970 | 0.3816 | 3.0135 | 0.1796 | 3.0727 | 0.2446 | 150 | | 0.7041 | 0.5830 | 0.1750 | 0.3193 | 0.1906 | 0.5080 | 0.1409 | 0.1710 | 0.1882 | 0.3721 | 0.1859 | 0.4139 | | 3.1985 | 0.0993 | 3.0549 | 0.1669 | 3.0324 | 0.1883 | 3.1981 | 0.2267 | 3.0030 | 0.1613 | 3.0309 | 0.1774 |
| 5 | 50 | | 0.7510 | 4.6122 | 1.0280 | 0.7823 | 1.4226 | 3.8892 | 0.7509 | 0.2992 | 1.2002 | 1.0843 | 1.2619 | 1.7012 | | 5.3849 | 0.3246 | 5.0404 | 0.5619 | 5.0388 | 0.9725 | 5.3860 | 0.8192 | 4.8767 | 0.5816 | 4.9881 | 0.8161 | 100 | | 0.7085 | 1.0436 | 1.0073 | 0.6754 | 1.0838 | 1.0552 | 0.7084 | 0.1751 | 1.1182 | 0.8640 | 1.0805 | 1.0174 | | 5.2980 | 0.1674 | 4.9921 | 0.4418 | 5.0240 | 0.6186 | 5.2985 | 0.4945 | 4.8874 | 0.4669 | 5.0269 | 0.6399 | 150 | | 0.7233 | 0.4938 | 0.9493 | 0.4527 | 0.9540 | 0.4803 | 0.7237 | 0.1195 | 1.0272 | 0.5564 | 0.9880 | 0.5618 | | 5.1933 | 0.1347 | 4.9968 | 0.3704 | 5.0271 | 0.4701 | 5.1929 | 0.2876 | 4.9158 | 0.3836 | 4.9950 | 0.4493 |
|
|