Research Article
Model Selection Approaches for Predicting Future Order Statistics from Type II Censored Data
Table 3
The corresponding bias and MSEs for different settings of RML approach when the true distribution is ND.
| RML approach | | | | | | | | | | bias | MSE | bias | MSE | Correct (%) |
| 10 | 8 | 9 | -0.1796 | 0.1372 | -0.3430 | 0.2140 | 0.6430 | | 7 | 8 | -0.1580 | 0.1001 | -0.2832 | 0.1509 | 0.6263 | | 7 | 9 | -0.2459 | 0.2408 | -0.3732 | 0.3023 | 0.6263 | | 6 | 7 | -0.1466 | 0.0772 | -0.2560 | 0.1170 | 0.5959 | | 6 | 8 | -0.3316 | 0.1836 | -0.2226 | 0.2313 | 0.5959 | | 6 | 9 | -0.3150 | 0.3745 | -0.3867 | 0.4098 | 0.5959 | | 5 | 6 | -0.1399 | 0.0774 | -0.2448 | 0.1142 | 0.5908 | | 5 | 7 | -0.2206 | 0.1701 | -0.3164 | 0.2098 | 0.5908 | | 5 | 8 | -0.3144 | 0.3048 | -0.3709 | 0.3303 | 0.5908 | | 5 | 9 | -0.4189 | 0.5512 | -0.4695 | 0.5794 | 0.5908 |
| 20 | 16 | 18 | -0.1301 | 0.0875 | -0.2542 | 0.1275 | 0.7195 | | 14 | 16 | -0.1087 | 0.0556 | -0.2093 | 0.0831 | 0.6955 | | 14 | 18 | -0.1741 | 0.1534 | -0.2281 | 0.1702 | 0.6955 | | 12 | 14 | -0.0944 | 0.0443 | -0.1850 | 0.0674 | 0.6657 | | 12 | 16 | -0.1597 | 0.1112 | -0.2008 | 0.1229 | 0.6657 | | 12 | 18 | -0.2382 | 0.2419 | -0.2764 | 0.2561 | 0.6657 | | 10 | 12 | -0.0948 | 0.0404 | -0.1787 | 0.0606 | 0.6477 | | 10 | 14 | -0.1489 | 0.0949 | -0.1849 | 0.1046 | 0.6477 | | 10 | 16 | -0.2164 | 0.1806 | -0.2432 | 0.1901 | 0.6477 | | 10 | 18 | -0.3104 | 0.3566 | -0.3419 | 0.3699 | 0.6477 |
| 30 | 24 | 27 | 0.0092 | 0.0718 | -0.1224 | 0.0604 | 0.9508 | | 21 | 24 | -0.0235 | 0.0472 | -0.1130 | 0.0402 | 0.9345 | | 21 | 27 | -0.0493 | 0.0950 | -0.1135 | 0.0888 | 0.9345 | | 18 | 21 | -0.0700 | 0.0348 | -0.1172 | 0.0351 | 0.8478 | | 18 | 24 | -0.1114 | 0.0752 | -0.1357 | 0.0725 | 0.8478 | | 18 | 27 | -0.1531 | 0.1561 | -0.1788 | 0.1581 | 0.8478 | | 15 | 18 | -0.0920 | 0.0295 | -0.1234 | 0.0344 | 0.7104 | | 15 | 21 | -0.1364 | 0.0676 | -0.1451 | 0.0700 | 0.7104 | | 15 | 24 | -0.1985 | 0.1293 | -0.2061 | 0.1334 | 0.7104 | | 15 | 27 | -0.2789 | 0.2534 | -0.2945 | 0.2621 | 0.7104 |
| 40 | 32 | 36 | 0.0533 | 0.0603 | -0.0708 | 0.0413 | 0.9717 | | 28 | 32 | 0.0476 | 0.0408 | -0.0560 | 0.0229 | 0.9754 | | 28 | 36 | 0.0514 | 0.0651 | -0.0324 | 0.0507 | 0.9754 | | 24 | 28 | 0.0445 | 0.0334 | -0.0484 | 0.0175 | 0.9777 | | 24 | 32 | 0.0497 | 0.0464 | -0.0218 | 0.0311 | 0.9777 | | 24 | 36 | 0.0593 | 0.0691 | -0.0083 | 0.0572 | 0.9777 | | 20 | 24 | 0.0352 | 0.0308 | -0.0469 | 0.0154 | 0.9817 | | 20 | 28 | 0.0331 | 0.0399 | -0.0228 | 0.0263 | 0.9817 | | 20 | 32 | 0.0434 | 0.0508 | -0.0069 | 0.0407 | 0.9817 | | 20 | 36 | 0.0467 | 0.0768 | -0.0042 | 0.0683 | 0.9817 |
| 50 | 40 | 45 | 0.0589 | 0.0488 | -0.0472 | 0.0313 | 0.9820 | | 35 | 40 | 0.0505 | 0.0341 | -0.0403 | 0.0177 | 0.9847 | | 35 | 45 | 0.0595 | 0.0542 | -0.0178 | 0.0411 | 0.9847 | | 30 | 35 | 0.0473 | 0.0286 | -0.0329 | 0.0131 | 0.9876 | | 30 | 40 | 0.0539 | 0.0366 | -0.0093 | 0.0241 | 0.9876 | | 30 | 45 | 0.0624 | 0.0559 | 0.0042 | 0.0463 | 0.9876 | | 25 | 30 | 0.0381 | 0.0257 | -0.0319 | 0.0111 | 0.9878 | | 25 | 35 | 0.0466 | 0.0310 | -0.0076 | 0.0194 | 0.9878 | | 25 | 40 | 0.0527 | 0.0389 | 0.0060 | 0.0300 | 0.9878 | | 25 | 45 | 0.0660 | 0.0577 | 0.0191 | 0.0497 | 0.9878 |
| 60 | 48 | 54 | 0.0586 | 0.0435 | -0.0368 | 0.0270 | 0.9913 | | 42 | 48 | 0.0522 | 0.0300 | -0.0284 | 0.0144 | 0.9919 | | 42 | 54 | 0.0611 | 0.0453 | -0.0064 | 0.0345 | 0.9919 | | 36 | 42 | 0.0477 | 0.0243 | -0.0245 | 0.0107 | 0.9933 | | 36 | 48 | 0.0543 | 0.0322 | -0.0038 | 0.0210 | 0.9933 | | 36 | 54 | 0.0644 | 0.0487 | 0.0126 | 0.0400 | 0.9933 | | 30 | 36 | 0.0401 | 0.0212 | -0.0229 | 0.0092 | 0.9928 | | 30 | 42 | 0.0433 | 0.0257 | -0.0037 | 0.0163 | 0.9928 | | 30 | 48 | 0.0555 | 0.0333 | 0.0148 | 0.0258 | 0.9928 | | 30 | 54 | 0.0649 | 0.0492 | 0.0215 | 0.0429 | 0.9928 |
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