Research Article
Bayesian Prediction Intervals Based on Type-I Hybrid Censored Data from the Lomax Distribution under Step-Stress Model
Table 2
95% Bayesian predictive intervals of future order statistics when
, , and
, , , and
(two-sample scheme).
| n | r | | | L | U | Length |
| 20 | 15 | (0.3, 0.8) | | 0.00129258 | 0.191083 | 0.189791 | | 0.00136062 | 0.201295 | 0.199935 | | 0.00143622 | 0.21266 | 0.211224 | | 0.00152071 | 0.225385 | 0.223864 | | (0.5, 1.6) | | 0.001189 | 0.178083 | 0.176894 | | 0.00125159 | 0.187731 | 0.186479 | | 0.00132113 | 0.198484 | 0.197163 | | 0.00139887 | 0.210543 | 0.209145 |
| 40 | 30 | (0.3, 0.8) | | 0.000878721 | 0.132237 | 0.131358 | | 0.000924981 | 0.139437 | 0.138512 | | 0.000976381 | 0.147465 | 0.146489 | | 0.00103383 | 0.156475 | 0.155441 | | (0.5, 1.6) | | 0.000739947 | 0.109018 | 0.108278 | | 0.000778894 | 0.114824 | 0.114045 | | 0.00082217 | 0.121282 | 0.12046 | | 0.000870537 | 0.128511 | 0.12764 |
| 60 | 45 | (0.3, 0.8) | | 0.000798553 | 0.118093 | 0.117294 | | 0.000840586 | 0.124406 | 0.123566 | | 0.000887291 | 0.131433 | 0.130546 | | 0.000939491 | 0.139301 | 0.138361 | | (0.5, 1.6) | | 0.000621153 | 0.091571 | 0.0909499 | | 0.000653848 | 0.0964506 | 0.0957967 | | 0.000690176 | 0.101879 | 0.101189 | | 0.000730778 | 0.107956 | 0.107225 |
| 80 | 60 | (0.3, 0.8) | | 0.000753343 | 0.111106 | 0.110352 | | 0.000792996 | 0.117029 | 0.116236 | | 0.000837055 | 0.123619 | 0.122782 | | 0.000886298 | 0.130995 | 0.130109 | | (0.5, 1.6) | | 0.000577907 | 0.0854699 | 0.084892 | | 0.000608326 | 0.0900398 | 0.0894315 | | 0.000642126 | 0.0951259 | 0.0944837 | | 0.000679902 | 0.100821 | 0.100141 |
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