Research Article
Alpha Power Moment Exponential Model with Applications to Biomedical Science
Table 15
Av and MSE of the M1, M2, M3, M4, M5, and M6 estimates for the APTME distribution when
ā=ā1.5.
| | | | M1 | M2 | M3 | M4 | M5 | M6 | | N | | Av | MSE | Av | MSE | Av | MSE | Av | MSE | Av | MSE | Av | MSE |
| 0.6 | 50 | | 1.2106 | 1.5626 | 1.4770 | 0.0749 | 1.4934 | 0.6657 | 1.2104 | 0.4538 | 1.5198 | 0.0534 | 1.4703 | 0.0983 | | 0.6855 | 0.0056 | 0.6090 | 0.0052 | 0.6167 | 0.0070 | 0.6856 | 0.0363 | 0.6029 | 0.0043 | 0.6093 | 0.0041 | 100 | | 1.2929 | 0.5603 | 1.4781 | 0.0858 | 1.4958 | 0.1499 | 1.2928 | 0.2580 | 1.5202 | 0.0968 | 1.4649 | 0.1484 | | 0.6452 | 0.0033 | 0.6052 | 0.0020 | 0.6075 | 0.0041 | 0.6452 | 0.0136 | 0.6014 | 0.0022 | 0.6103 | 0.0030 | 150 | | 1.2998 | 0.5189 | 1.3689 | 0.0606 | 1.4023 | 0.1150 | 1.2998 | 0.2390 | 1.4463 | 0.0912 | 1.5122 | 0.1322 | | 0.6347 | 0.0027 | 0.6147 | 0.0020 | 0.6093 | 0.0037 | 0.6347 | 0.0091 | 0.6042 | 0.0021 | 0.5971 | 0.0018 |
| 1.6 | 50 | | 1.2391 | 5.3878 | 1.4102 | 0.4715 | 1.6032 | 1.4707 | 1.2389 | 0.7879 | 1.5609 | 0.4682 | 1.5528 | 0.7795 | | 1.8483 | 0.0508 | 1.7009 | 0.0766 | 1.7250 | 0.1873 | 1.8486 | 0.2322 | 1.6501 | 0.0589 | 1.6886 | 0.0881 | 100 | | 1.2593 | 1.8709 | 1.4411 | 0.4921 | 1.5210 | 0.6896 | 1.2592 | 0.5310 | 1.5484 | 0.4984 | 1.5288 | 0.6993 | | 1.7627 | 0.0316 | 1.6841 | 0.0587 | 1.6822 | 0.0862 | 1.7628 | 0.1139 | 1.6491 | 0.0473 | 1.6777 | 0.0670 | 150 | | 1.3455 | 1.1303 | 1.4375 | 0.4295 | 1.4900 | 0.4466 | 1.3462 | 0.3431 | 1.5192 | 0.4462 | 1.5074 | 0.4833 | | 1.6928 | 0.0223 | 1.6754 | 0.0477 | 1.6581 | 0.0441 | 1.6927 | 0.0531 | 1.6507 | 0.0409 | 1.6569 | 0.0436 |
| 3 | 50 | | 1.2576 | 6.1258 | 1.6137 | 1.2024 | 1.7072 | 1.8448 | 1.2537 | 0.6778 | 1.8612 | 1.4515 | 1.9327 | 2.6429 | | 3.3416 | 0.1812 | 3.2020 | 0.3373 | 3.2308 | 0.5049 | 3.3421 | 0.4630 | 3.0853 | 0.2784 | 3.1394 | 0.3612 | 100 | | 1.2956 | 2.7107 | 1.4794 | 0.6361 | 1.6817 | 1.3977 | 1.2956 | 0.4571 | 1.5946 | 0.6630 | 1.6715 | 1.1470 | | 3.2282 | 0.1170 | 3.1514 | 0.1980 | 3.1358 | 0.2519 | 3.2284 | 0.2324 | 3.0877 | 0.1676 | 3.1190 | 0.2359 | 150 | | 1.3687 | 1.4668 | 1.5273 | 0.5614 | 1.6485 | 0.8587 | 1.3694 | 0.2979 | 1.6223 | 0.5959 | 1.6283 | 0.7126 | | 3.1356 | 0.0810 | 3.1104 | 0.1582 | 3.0929 | 0.2283 | 3.1354 | 0.1172 | 3.0608 | 0.1362 | 3.0747 | 0.1559 |
| 5 | 50 | | 1.3466 | 10.4321 | 1.6601 | 1.2018 | 2.0295 | 3.2231 | 1.3429 | 0.6160 | 1.9123 | 1.4978 | 1.9950 | 2.5070 | | 5.3950 | 0.3421 | 5.2437 | 0.4675 | 5.2415 | 0.7448 | 5.4000 | 0.5036 | 5.0554 | 0.3938 | 5.1491 | 0.5533 | 100 | | 1.4195 | 2.8337 | 1.7902 | 1.1344 | 1.9804 | 1.9234 | 1.4193 | 0.3723 | 1.9565 | 1.3381 | 1.9935 | 1.8771 | | 5.2716 | 0.1928 | 5.1289 | 0.2960 | 5.0966 | 0.3620 | 5.2722 | 0.2560 | 5.0160 | 0.2649 | 5.0699 | 0.3345 | 150 | | 1.3193 | 1.1638 | 1.4628 | 0.6838 | 1.5486 | 1.0308 | 1.3209 | 0.2744 | 1.5698 | 0.7528 | 1.5823 | 0.9621 | | 5.2172 | 0.1413 | 5.2296 | 0.2888 | 5.1910 | 0.2903 | 5.2165 | 0.1693 | 5.1431 | 0.2588 | 5.1646 | 0.2781 |
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