Research Article
Model Selection Approaches for Predicting Future Order Statistics from Type II Censored Data
Table 8
The corresponding bias and MSE for different settings of D approach when the true distribution is SEV.
| approach | | | | | | | | | | bias | MSE | bias | MSE | correct (%) |
| 10 | 8 | 9 | -0.0018 | 0.0902 | -0.2969 | 0.1589 | 0.4362 | | 7 | 8 | -0.0223 | 0.0817 | -0.2692 | 0.1376 | 0.364 | | 7 | 9 | 0.0389 | 0.2031 | -0.1821 | 0.1870 | 0.364 | | 6 | 7 | -0.0419 | 0.0830 | -0.2702 | 0.1364 | 0.321 | | 6 | 8 | 0.0058 | 0.1959 | -0.2015 | 0.1923 | 0.321 | | 6 | 9 | 0.0877 | 0.3923 | -0.0580 | 0.3199 | 0.321 | | 5 | 6 | -0.0539 | 0.0936 | -0.2780 | 0.1516 | 0.3093 | | 5 | 7 | -0.0312 | 0.2201 | -0.2253 | 0.2182 | 0.3093 | | 5 | 8 | 0.0199 | 0.3925 | -0.1053 | 0.3373 | 0.3093 | | 5 | 9 | 0.1007 | 0.6842 | -0.0108 | 0.5837 | 0.3093 |
| 20 | 16 | 18 | 0.0212 | 0.0564 | -0.1524 | 0.0688 | 0.6441 | | 14 | 16 | 0.0041 | 0.0436 | -0.1516 | 0.0597 | 0.5715 | | 14 | 18 | 0.0499 | 0.1106 | -0.0419 | 0.0990 | 0.5715 | | 12 | 14 | 0.0011 | 0.0405 | -0.1528 | 0.0569 | 0.5014 | | 12 | 16 | 0.0354 | 0.0954 | -0.0474 | 0.0858 | 0.5014 | | 12 | 18 | 0.1110 | 0.2044 | 0.0395 | 0.1780 | 0.5014 | | 10 | 12 | -0.0017 | 0.0460 | -0.1591 | 0.0628 | 0.405 | | 10 | 14 | 0.0404 | 0.1047 | -0.0403 | 0.0943 | 0.405 | | 10 | 16 | 0.1041 | 0.2017 | 0.0431 | 0.1791 | 0.405 | | 10 | 18 | 0.2157 | 0.3925 | 0.1516 | 0.3447 | 0.405 |
| 30 | 24 | 27 | 0.1310 | 0.0578 | -0.0377 | 0.0298 | 0.8771 | | 21 | 24 | 0.1181 | 0.0493 | -0.0418 | 0.0230 | 0.8474 | | 21 | 27 | 0.1452 | 0.0736 | 0.0295 | 0.0461 | 0.8474 | | 18 | 21 | 0.1046 | 0.0450 | -0.0493 | 0.0216 | 0.8059 | | 18 | 24 | 0.1164 | 0.0589 | 0.0067 | 0.0368 | 0.8059 | | 18 | 27 | 0.1416 | 0.0876 | 0.0544 | 0.0656 | 0.8059 | | 15 | 18 | 0.0704 | 0.0455 | -0.0677 | 0.0267 | 0.7359 | | 15 | 21 | 0.0678 | 0.0589 | -0.0248 | 0.0426 | 0.7359 | | 15 | 24 | 0.0690 | 0.0790 | -0.0023 | 0.0649 | 0.7359 | | 15 | 27 | 0.0994 | 0.1234 | 0.0374 | 0.1067 | 0.7359 |
| 40 | 32 | 36 | 0.1103 | 0.0454 | -0.0206 | 0.0232 | 0.9126 | | 28 | 32 | 0.1041 | 0.0374 | -0.0227 | 0.0168 | 0.8831 | | 28 | 36 | 0.1244 | 0.0575 | 0.0329 | 0.0369 | 0.8831 | | 24 | 28 | 0.0979 | 0.0350 | -0.0252 | 0.0147 | 0.8598 | | 24 | 32 | 0.1125 | 0.0445 | 0.0221 | 0.0271 | 0.8598 | | 24 | 36 | 0.1393 | 0.0690 | 0.0687 | 0.0505 | 0.8598 | | 20 | 24 | 0.0946 | 0.0358 | -0.0284 | 0.0159 | 0.8433 | | 20 | 28 | 0.0995 | 0.0403 | 0.0112 | 0.0249 | 0.8433 | | 20 | 32 | 0.1192 | 0.0518 | 0.0519 | 0.0369 | 0.8433 | | 20 | 36 | 0.1414 | 0.0759 | 0.0853 | 0.0601 | 0.8433 |
| 50 | 40 | 45 | 0.0973 | 0.0373 | -0.0091 | 0.0192 | 0.9364 | | 35 | 40 | 0.0904 | 0.0301 | -0.0142 | 0.0131 | 0.9113 | | 35 | 45 | 0.1074 | 0.0469 | 0.0306 | 0.0310 | 0.9113 | | 30 | 35 | 0.0848 | 0.0287 | -0.0177 | 0.0118 | 0.8852 | | 30 | 40 | 0.1003 | 0.0367 | 0.0261 | 0.0222 | 0.8852 | | 30 | 45 | 0.1233 | 0.0568 | 0.0632 | 0.0421 | 0.8852 | | 25 | 30 | 0.0814 | 0.0283 | -0.0197 | 0.0125 | 0.876 | | 25 | 35 | 0.0926 | 0.0339 | 0.0199 | 0.0202 | 0.876 | | 25 | 40 | 0.1022 | 0.0423 | 0.0465 | 0.0308 | 0.876 | | 25 | 45 | 0.1345 | 0.0643 | 0.0871 | 0.0517 | 0.876 |
| 60 | 48 | 54 | 0.0845 | 0.0310 | -0.0065 | 0.0162 | 0.9554 | | 42 | 48 | 0.0794 | 0.0261 | -0.0102 | 0.0113 | 0.9301 | | 42 | 54 | 0.0992 | 0.0402 | 0.0332 | 0.0265 | 0.9301 | | 36 | 42 | 0.0772 | 0.0241 | -0.0103 | 0.0100 | 0.9127 | | 36 | 48 | 0.0905 | 0.0302 | 0.0263 | 0.0188 | 0.9127 | | 36 | 54 | 0.1099 | 0.0470 | 0.0595 | 0.0353 | 0.9127 | | 30 | 36 | 0.0725 | 0.0239 | -0.0136 | 0.0103 | 0.899 | | 30 | 42 | 0.0803 | 0.0285 | 0.0186 | 0.0172 | 0.899 | | 30 | 48 | 0.0968 | 0.0358 | 0.0494 | 0.0262 | 0.899 | | 30 | 54 | 0.1163 | 0.0532 | 0.0758 | 0.0430 | 0.899 |
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