Research Article
Alpha Power Moment Exponential Model with Applications to Biomedical Science
Table 16
Av and MSE of the M1, M2, M3, M4, M5, and M6 estimates for the APTME distribution when
ā=ā3.
| | | | M1 | M2 | M3 | M4 | M5 | M6 | | N | | Av | MSE | Av | MSE | Av | MSE | Av | MSE | Av | MSE | Av | MSE |
| 0.6 | 50 | | 2.9099 | 0.9809 | 2.9957 | 0.0311 | 3.0399 | 0.3817 | 2.9090 | 0.1044 | 3.0270 | 0.0318 | 3.0015 | 0.0646 | | 0.6126 | 0.0049 | 0.6026 | 0.0027 | 0.6025 | 0.0024 | 0.6129 | 0.0029 | 0.6003 | 0.0027 | 0.6022 | 0.0026 | 100 | | 2.9605 | 0.8900 | 2.9993 | 0.0486 | 3.0609 | 0.1085 | 2.9607 | 0.0433 | 3.0339 | 0.0719 | 3.0689 | 0.2824 | | 0.6123 | 0.0032 | 0.6079 | 0.0017 | 0.6052 | 0.0016 | 0.6124 | 0.0016 | 0.6062 | 0.0016 | 0.6061 | 0.0016 | 150 | | 2.9245 | 0.5139 | 2.9476 | 0.0519 | 2.9769 | 0.0142 | 2.9251 | 0.0392 | 2.9444 | 0.0653 | 2.9716 | 0.0378 | | 0.6048 | 0.0017 | 0.5998 | 0.0015 | 0.5984 | 0.0013 | 0.6049 | 0.0012 | 0.5998 | 0.0016 | 0.5988 | 0.0013 |
| 1.6 | 50 | | 2.5586 | 1.5278 | 2.8392 | 0.4697 | 3.1926 | 2.7864 | 2.5515 | 0.8890 | 3.0707 | 0.4422 | 3.0195 | 0.7371 | | 1.7564 | 0.0502 | 1.6672 | 0.0513 | 1.7147 | 0.1316 | 1.7580 | 0.1255 | 1.6296 | 0.0404 | 1.6576 | 0.0593 | 100 | | 2.7558 | 0.9622 | 3.0447 | 0.4276 | 3.1584 | 0.6448 | 2.7564 | 0.5074 | 3.2199 | 0.4828 | 3.1518 | 0.7072 | | 1.6958 | 0.0307 | 1.6453 | 0.0262 | 1.6393 | 0.0278 | 1.6959 | 0.0514 | 1.6242 | 0.0242 | 1.6500 | 0.0389 | 150 | | 2.6262 | 0.8403 | 2.6344 | 0.6055 | 2.8201 | 0.9647 | 2.6291 | 0.3904 | 2.8021 | 0.6490 | 2.8228 | 0.8308 | | 1.6711 | 0.0235 | 1.6856 | 0.0418 | 1.6750 | 0.0876 | 1.6709 | 0.0330 | 1.6607 | 0.0341 | 1.6655 | 0.0380 |
| 3 | 50 | | 2.6165 | 1.9217 | 3.0350 | 1.3823 | 3.2313 | 2.2369 | 2.6103 | 0.7960 | 3.4402 | 1.5505 | 3.6285 | 2.8923 | | 3.2280 | 0.1847 | 3.1872 | 0.2892 | 3.2046 | 0.3810 | 3.2306 | 0.2727 | 3.0787 | 0.2254 | 3.1215 | 0.3118 | 100 | | 2.7940 | 1.3673 | 3.0318 | 0.7471 | 3.5966 | 2.9520 | 2.7946 | 0.4538 | 3.2363 | 0.7678 | 3.5113 | 1.6164 | | 3.1493 | 0.1180 | 3.1321 | 0.1478 | 3.1060 | 0.2745 | 3.1496 | 0.1233 | 3.0770 | 0.1198 | 3.0751 | 0.1621 | 150 | | 2.6549 | 0.8893 | 2.7707 | 0.7512 | 2.9463 | 1.0842 | 2.6577 | 0.3530 | 2.9214 | 0.7604 | 2.9101 | 0.8797 | | 3.1122 | 0.0861 | 3.1347 | 0.1335 | 3.1094 | 0.1336 | 3.1120 | 0.0816 | 3.0921 | 0.1139 | 3.1066 | 0.1274 |
| 5 | 50 | | 2.6974 | 2.1614 | 3.1053 | 1.3390 | 3.9134 | 4.7655 | 2.6923 | 0.6588 | 3.5058 | 1.5608 | 3.7362 | 3.2498 | | 5.2727 | 0.5328 | 5.2375 | 0.5959 | 5.2421 | 1.0101 | 5.2762 | 0.4448 | 5.0753 | 0.4855 | 5.1782 | 0.8214 | 100 | | 2.8530 | 1.5956 | 3.4017 | 1.4936 | 3.6933 | 2.2939 | 2.8537 | 0.3783 | 3.6983 | 1.7368 | 3.7865 | 2.4773 | | 5.1918 | 0.3348 | 5.1547 | 0.4236 | 5.1240 | 0.5141 | 5.1923 | 0.2177 | 5.0514 | 0.3747 | 5.0830 | 0.4428 | 150 | | 2.7016 | 1.3973 | 2.9477 | 1.2908 | 3.1818 | 1.8412 | 2.7042 | 0.2956 | 3.1482 | 1.3983 | 3.1963 | 1.7347 | | 5.1445 | 0.2385 | 5.2257 | 0.4438 | 5.1721 | 0.4776 | 5.1442 | 0.1509 | 5.1449 | 0.3928 | 5.1506 | 0.4010 |
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