Research Article
Bayesian Estimation Based on Rayleigh Progressive Type II Censored Data with Binomial Removals
Table 2
Averaged values of MSEs for estimates of the parameters
and
.
| | | | MSE | MSE | MSE | MSE | CI | MSE | MSE | MSE | MSE |
| P = 0.1 | 10 | 5 | 0.9727 | 1.0484 | 1.0749 | 1.0019 | (0.6796, 1.7070) | 0.1333 | 0.2500 | 0.2105 | 0.1336 | 0.0514 | 0.0416 | 0.0469 | 0.0359 | 0.0011 | 0.0225 | 0.0122 | 0.0011 | 7 | 0.9794 | 1.0334 | 1.0520 | 0.9996 | (0.7170, 1.5447) | 0.0769 | 0.2222 | 0.1764 | 0.1139 | 0.0343 | 0.0292 | 0.0319 | 0.0263 | 0.0005 | 0.0149 | 0.0058 | 0.0001 | 20 | 10 | 0.9873 | 1.0250 | 1.0379 | 1.0009 | (0.7554, 1.4258) | 0.1228 | 0.1612 | 0.1475 | 0.0673 | 0.0251 | 0.0226 | 0.0239 | 0.0209 | 0.0005 | 0.0037 | 0.0022 | 0.0010 | 15 | 0.9889 | 1.0141 | 1.0226 | 0.9979 | (0.7902, 1.3218) | 0.0975 | 0.1521 | 0.1333 | 0.0627 | 0.0165 | 0.0153 | 0.0158 | 0.0146 | 5 × 10−6 | 0.0027 | 0.0011 | 0.0013 |
| P = 0.4 | 10 | 5 | 0.9700 | 1.0461 | 1.0726 | 0.9997 | (0.6778, 1.7024) | 0.5000 | 0.5333 | 0.5000 | 0.4000 | 0.0522 | 0.0419 | 0.0471 | 0.0363 | 0.01000 | 0.0177 | 0.0100 | 0.0000 | 7 | 0.9805 | 1.0345 | 1.0532 | 1.0006 | (0.7178, 1.5463) | 0.2500 | 0.3846 | 0.3333 | 0.2517 | 0.0371 | 0.0318 | 0.0346 | 0.0287 | 0.0225 | 0.0002 | 0.0044 | 0.0219 | 20 | 10 | 0.9842 | 1.0221 | 1.0349 | 0.9980 | (0.7530, 1.4213) | 0.3703 | 0.4062 | 0.3870 | 0.2646 | 0.0243 | 0.0216 | 0.0229 | 0.0202 | 0.0008 | 0.0009 | 0.0001 | 0.0183 | 15 | 0.9897 | 1.0149 | 1.0234 | 0.9986 | (0.7909, 1.3230) | 0.4545 | 0.5000 | 0.4666 | 0.3638 | 0.0163 | 0.0151 | 0.0157 | 0.0144 | 0.0029 | 0.0100 | 0.0044 | 0.0013 |
| P = 0.6 | 10 | 5 | 0.9706 | 1.0466 | 1.0730 | 1.0001 | (0.6782, 1.7034) | 0.7142 | 0.6666 | 0.6363 | 0.5547 | 0.0511 | 0.0411 | 0.0462 | 0.03557 | 0.0130 | 0.0044 | 0.0013 | 0.0020 | 7 | 0.9818 | 1.0356 | 1.0542 | 1.0017 | (0.7188, 1.5485) | 0.2727 | 0.3750 | 0.3333 | 0.2406 | 0.0343 | 0.0296 | 0.0323 | 0.0265 | 0.1071 | 0.0506 | 0.0711 | 0.1291 | 20 | 10 | 0.9906 | 1.0280 | 1.0409 | 1.0038 | (0.7579, 1.4305) | 0.6666 | 0.6500 | 0.6315 | 0.5307 | 0.0240 | 0.0219 | 0.0233 | 0.0201 | 0.0044 | 0.0025 | 0.0009 | 0.0047 | 15 | 0.9913 | 1.0164 | 1.0249 | 1.0001 | (0.7922, 1.3251) | 0.4545 | 0.5000 | 0.4666 | 0.3638 | 0.0161 | 0.0150 | 0.0156 | 0.0143 | 0.0211 | 0.0100 | 0.0177 | 0.0557 |
| P = 0.9 | 10 | 5 | 0.9746 | 1.0500 | 1.0766 | 1.0034 | (0.6810, 1.7104) | 0.7142 | 0.6666 | 0.6363 | 0.5547 | 0.0499 | 0.0408 | 0.0461 | 0.0349 | 0.0344 | 0.0544 | 0.0695 | 0.1192 | 7 | 0.9779 | 1.0322 | 1.0508 | 0.9984 | (0.7159, 1.5423) | 0.7500 | 0.6666 | 0.6250 | 0.5577 | 0.0370 | 0.0315 | 0.0341 | 0.0285 | 0.0225 | 0.05447 | 0.0756 | 0.1171 | 20 | 10 | 0.9882 | 1.0258 | 1.0387 | 1.0017 | (0.7560, 1.4270) | 0.9090 | 0.8125 | 0.8000 | 0.7373 | 0.0248 | 0.0223 | 0.0237 | 0.0207 | 8 × 10−5 | 0.0076 | 0.0100 | 0.0264 | 15 | 0.9931 | 1.0181 | 1.0266 | 1.0018 | (0.7936, 1.3274) | 0.6250 | 0.6153 | 0.5833 | 0.4934 | 0.0153 | 0.0143 | 0.0149 | 0.0136 | 0.0756 | 0.0810 | 0.1002 | 0.1653 |
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