Research Article
Model Selection Approaches for Predicting Future Order Statistics from Type II Censored Data
Table 4
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 | -0.1489 | 0.1300 | -0.3430 | 0.2140 | 0.6694 | | 7 | 8 | -0.1285 | 0.0932 | -0.2832 | 0.1509 | 0.6654 | | 7 | 9 | -0.2016 | 0.2273 | -0.3517 | 0.2880 | 0.6654 | | 6 | 7 | -0.1181 | 0.0716 | -0.2560 | 0.1170 | 0.6616 | | 6 | 8 | -0.3112 | 0.1713 | -0.1809 | 0.2190 | 0.6616 | | 6 | 9 | -0.2560 | 0.3466 | -0.3461 | 0.3798 | 0.6616 | | 5 | 6 | -0.1138 | 0.0725 | -0.2448 | 0.1142 | 0.6305 | | 5 | 7 | -0.1820 | 0.1603 | -0.2965 | 0.1994 | 0.6305 | | 5 | 8 | -0.2621 | 0.2818 | -0.3339 | 0.3061 | 0.6305 | | 5 | 9 | -0.3529 | 0.5053 | -0.4170 | 0.5306 | 0.6305 |
| 20 | 16 | 18 | -0.1159 | 0.0843 | -0.2497 | 0.1252 | 0.7314 | | 14 | 16 | -0.0892 | 0.0529 | -0.2038 | 0.0810 | 0.7198 | | 14 | 18 | -0.1456 | 0.1450 | -0.2109 | 0.1610 | 0.7198 | | 12 | 14 | -0.0748 | 0.0420 | -0.1795 | 0.0655 | 0.6935 | | 12 | 16 | -0.1308 | 0.1049 | -0.1835 | 0.1159 | 0.6935 | | 12 | 18 | -0.1989 | 0.2247 | -0.2475 | 0.2369 | 0.6935 | | 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 | -0.2985 | 0.3318 | 0.6781 |
| 30 | 24 | 27 | -0.0610 | 0.0618 | -0.1422 | 0.0666 | 0.7082 | | 21 | 24 | -0.0637 | 0.0390 | -0.1211 | 0.0415 | 0.7488 | | 21 | 27 | -0.0998 | 0.0901 | -0.1355 | 0.0935 | 0.7488 | | 18 | 21 | -0.0755 | 0.0314 | -0.1174 | 0.0348 | 0.8027 | | 18 | 24 | -0.1177 | 0.0693 | -0.1369 | 0.0702 | 0.8027 | | 18 | 27 | -0.1615 | 0.1472 | -0.1826 | 0.1534 | 0.8027 | | 15 | 18 | -0.0778 | 0.0277 | -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 | -0.2566 | 0.2319 | -0.2774 | 0.2416 | 0.6998 |
| 40 | 32 | 36 | -0.0416 | 0.0511 | -0.1013 | 0.0493 | 0.7000 | | 28 | 32 | -0.0287 | 0.0289 | -0.0742 | 0.0259 | 0.6958 | | 28 | 36 | -0.0467 | 0.0643 | -0.0800 | 0.0629 | 0.6958 | | 24 | 28 | -0.0225 | 0.0230 | -0.0609 | 0.0193 | 0.7010 | | 24 | 32 | -0.0278 | 0.0389 | -0.0505 | 0.0353 | 0.7010 | | 24 | 36 | -0.0390 | 0.0710 | -0.0650 | 0.0702 | 0.7010 | | 20 | 24 | -0.0207 | 0.0203 | -0.0554 | 0.0163 | 0.7535 | | 20 | 28 | -0.0232 | 0.0321 | -0.0382 | 0.0277 | 0.7535 | | 20 | 32 | -0.0218 | 0.0468 | -0.0362 | 0.0445 | 0.7535 | | 20 | 36 | -0.0346 | 0.0793 | -0.0556 | 0.0784 | 0.7535 |
| 50 | 40 | 45 | -0.0314 | 0.0421 | -0.0780 | 0.0383 | 0.7221 | | 35 | 40 | -0.0244 | 0.0245 | -0.0590 | 0.0203 | 0.7185 | | 35 | 45 | -0.0376 | 0.0552 | -0.0670 | 0.0528 | 0.7185 | | 30 | 35 | -0.0171 | 0.0190 | -0.0451 | 0.0145 | 0.7377 | | 30 | 40 | -0.0193 | 0.0314 | -0.0375 | 0.0278 | 0.7377 | | 30 | 45 | -0.0303 | 0.0596 | -0.0511 | 0.0583 | 0.7377 | | 25 | 30 | -0.0166 | 0.0168 | -0.0401 | 0.0118 | 0.7656 | | 25 | 35 | -0.0112 | 0.0252 | -0.0243 | 0.0210 | 0.7656 | | 25 | 40 | -0.0116 | 0.0373 | -0.0240 | 0.0342 | 0.7656 | | 25 | 45 | -0.0179 | 0.0630 | -0.0357 | 0.0611 | 0.7656 |
| 60 | 48 | 54 | -0.0254 | 0.0383 | -0.0664 | 0.0331 | 0.7520 | | 42 | 48 | -0.0179 | 0.0219 | -0.0463 | 0.0168 | 0.7444 | | 42 | 54 | -0.0276 | 0.0485 | -0.0524 | 0.0453 | 0.7444 | | 36 | 42 | -0.0137 | 0.0164 | -0.0364 | 0.0118 | 0.7635 | | 36 | 48 | -0.0141 | 0.0283 | -0.0306 | 0.0244 | 0.7635 | | 36 | 54 | -0.0192 | 0.0537 | -0.0383 | 0.0517 | 0.7635 | | 30 | 36 | -0.0098 | 0.0146 | -0.0304 | 0.0098 | 0.7864 | | 30 | 42 | -0.0068 | 0.0217 | -0.0184 | 0.0177 | 0.7864 | | 30 | 48 | -0.0028 | 0.0321 | -0.0131 | 0.0291 | 0.7864 | | 30 | 54 | -0.0137 | 0.0565 | -0.0307 | 0.0547 | 0.7864 |
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