Research Article
Bayesian Prediction Intervals Based on Type-I Hybrid Censored Data from the Lomax Distribution under Step-Stress Model
Table 1
95% Bayesian predictive intervals of future order statistics when
, , , , , , and
(one-sample scheme).
| n | r | | | L | U | Length |
| 20 | 15 | (0.3, 0.8) | | 0.394992 | 0.669922 | 0.274931 | | 0.394926 | 0.61621 | 0.221284 | | 0.394931 | 0.650672 | 0.255741 | | (0.5, 1.6) | | 0.524027 | 0.681595 | 0.157568 | | 0.524205 | 0.713818 | 0.189612 | | 0.524462 | 0.757883 | 0.233422 |
| 40 | 30 | (0.3, 0.8) | | 0.37462 | 0.545655 | 0.171035 | | 0.374593 | 0.534925 | 0.160332 | | 0.37457 | 0.527326 | 0.152756 | | (0.5, 1.6) | | 0.502775 | 0.634217 | 0.131442 | | 0.502839 | 0.643297 | 0.140458 | | 0.502912 | 0.653577 | 0.150665 |
| 60 | 45 | (0.3, 0.8) | | 0.371894 | 0.437151 | 0.0652573 | | 0.371905 | 0.438426 | 0.0665217 | | 0.371916 | 0.439731 | 0.0678151 | | (0.5, 1.6) | | 0.43803 | 0.453787 | 0.0157567 | | 0.438037 | 0.454864 | 0.0168265 | | 0.438046 | 0.456098 | 0.018052 |
| 80 | 60 | (0.3, 0.8) | | 0.385421 | 0.429208 | 0.0437874 | | 0.385427 | 0.430039 | 0.0446117 | | 0.385434 | 0.430895 | 0.0454615 | | (0.5, 1.6) | | 0.440823 | 0.479438 | 0.038615 | | 0.440833 | 0.481241 | 0.0404073 | | 0.440845 | 0.483209 | 0.0423641 |
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