Research Article
Model Selection Approaches for Predicting Future Order Statistics from Type II Censored Data
Table 5
The corresponding bias and MSEs for different settings of
approach when the true distribution is ND.
| approach | | | | | | | | | | bias | MSE | bias | MSE | correct (%) |
| 10 | 8 | 9 | -0.1491 | 0.1300 | -0.3430 | 0.2140 | 0.6687 | | 7 | 8 | -0.1286 | 0.0932 | -0.2832 | 0.1509 | 0.6648 | | 7 | 9 | -0.2016 | 0.2274 | -0.3517 | 0.2881 | 0.6648 | | 6 | 7 | -0.1181 | 0.0716 | -0.2560 | 0.1170 | 0.6615 | | 6 | 8 | -0.3113 | 0.1713 | -0.1809 | 0.2190 | 0.6615 | | 6 | 9 | -0.2560 | 0.3466 | -0.3461 | 0.3798 | 0.6615 | | 5 | 6 | -0.1138 | 0.0725 | -0.2448 | 0.1142 | 0.6306 | | 5 | 7 | -0.1820 | 0.1603 | -0.2965 | 0.1994 | 0.6306 | | 5 | 8 | -0.2621 | 0.2818 | -0.3339 | 0.3061 | 0.6306 | | 5 | 9 | -0.3529 | 0.5054 | -0.4170 | 0.5307 | 0.6306 |
| 20 | 16 | 18 | -0.1163 | 0.0844 | -0.2498 | 0.1253 | 0.7293 | | 14 | 16 | -0.0893 | 0.0529 | -0.2039 | 0.0810 | 0.7190 | | 14 | 18 | -0.1458 | 0.1451 | -0.2109 | 0.1611 | 0.7190 | | 12 | 14 | -0.0748 | 0.0420 | -0.1795 | 0.0655 | 0.6933 | | 12 | 16 | -0.1308 | 0.1049 | -0.1835 | 0.1159 | 0.6933 | | 12 | 18 | -0.1990 | 0.2248 | -0.2476 | 0.2370 | 0.6933 | | 10 | 12 | -0.0741 | 0.0379 | -0.1724 | 0.0584 | 0.6781 | | 10 | 14 | -0.1193 | 0.0886 | -0.1668 | 0.0976 | 0.6781 | | 10 | 16 | -0.1791 | 0.1639 | -0.2156 | 0.1721 | 0.6781 | | 10 | 18 | -0.2580 | 0.3209 | -0.2984 | 0.3318 | 0.6781 |
| 30 | 24 | 27 | -0.0640 | 0.0618 | -0.1433 | 0.0669 | 0.7006 | | 21 | 24 | -0.0646 | 0.0390 | -0.1213 | 0.0416 | 0.7454 | | 21 | 27 | -0.1009 | 0.0903 | -0.1361 | 0.0937 | 0.7454 | | 18 | 21 | -0.0757 | 0.0314 | -0.1175 | 0.0348 | 0.8016 | | 18 | 24 | -0.1178 | 0.0693 | -0.1369 | 0.0702 | 0.8016 | | 18 | 27 | -0.1620 | 0.1472 | -0.1829 | 0.1534 | 0.8016 | | 15 | 18 | -0.0778 | 0.0276 | -0.1184 | 0.0333 | 0.6998 | | 15 | 21 | -0.1206 | 0.0629 | -0.1365 | 0.0662 | 0.6998 | | 15 | 24 | -0.1796 | 0.1204 | -0.1935 | 0.1254 | 0.6998 | | 15 | 27 | -0.2565 | 0.2319 | -0.2773 | 0.2416 | 0.6998 |
| 40 | 32 | 36 | -0.0458 | 0.0514 | -0.1028 | 0.0497 | 0.6912 | | 28 | 32 | -0.0300 | 0.0290 | -0.0745 | 0.0260 | 0.6916 | | 28 | 36 | -0.0486 | 0.0642 | -0.0811 | 0.0630 | 0.6916 | | 24 | 28 | -0.0230 | 0.0230 | -0.0610 | 0.0193 | 0.6990 | | 24 | 32 | -0.0286 | 0.0389 | -0.0508 | 0.0354 | 0.6990 | | 24 | 36 | -0.0398 | 0.0711 | -0.0655 | 0.0703 | 0.6990 | | 20 | 24 | -0.0206 | 0.0203 | -0.0554 | 0.0163 | 0.7536 | | 20 | 28 | -0.0231 | 0.0321 | -0.0382 | 0.0277 | 0.7536 | | 20 | 32 | -0.0217 | 0.0468 | -0.0362 | 0.0445 | 0.7536 | | 20 | 36 | -0.0345 | 0.0792 | -0.0554 | 0.0784 | 0.7536 |
| 50 | 40 | 45 | -0.0349 | 0.0424 | -0.0793 | 0.0387 | 0.7099 | | 35 | 40 | -0.0259 | 0.0246 | -0.0594 | 0.0204 | 0.7138 | | 35 | 45 | -0.0397 | 0.0555 | -0.0682 | 0.0531 | 0.7138 | | 30 | 35 | -0.0179 | 0.0190 | -0.0453 | 0.0146 | 0.7353 | | 30 | 40 | -0.0199 | 0.0313 | -0.0378 | 0.0278 | 0.7353 | | 30 | 45 | -0.0310 | 0.0597 | -0.0515 | 0.0584 | 0.7353 | | 25 | 30 | -0.0165 | 0.0168 | -0.0401 | 0.0118 | 0.7659 | | 25 | 35 | -0.0111 | 0.0252 | -0.0242 | 0.0210 | 0.7659 | | 25 | 40 | -0.0115 | 0.0373 | -0.0240 | 0.0342 | 0.7659 | | 25 | 45 | -0.0179 | 0.0629 | -0.0357 | 0.0610 | 0.7659 |
| 60 | 48 | 54 | -0.0294 | 0.0387 | -0.0679 | 0.0335 | 0.7393 | | 42 | 48 | -0.0199 | 0.0220 | -0.0469 | 0.0169 | 0.7384 | | 42 | 54 | -0.0302 | 0.0487 | -0.0538 | 0.0455 | 0.7384 | | 36 | 42 | -0.0146 | 0.0164 | -0.0366 | 0.0118 | 0.7617 | | 36 | 48 | -0.0149 | 0.0283 | -0.0309 | 0.0244 | 0.7617 | | 36 | 54 | -0.0200 | 0.0539 | -0.0388 | 0.0519 | 0.7617 | | 30 | 36 | -0.0097 | 0.0146 | -0.0304 | 0.0098 | 0.7867 | | 30 | 42 | -0.0067 | 0.0217 | -0.0184 | 0.0177 | 0.7867 | | 30 | 48 | -0.0028 | 0.0320 | -0.0130 | 0.0291 | 0.7867 | | 30 | 54 | -0.0135 | 0.0565 | -0.0306 | 0.0547 | 0.7867 |
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