One- and two-sample Bayesian prediction intervals based on progressively Type-II censored data

摘要

In this article, one- and two-sample Bayesian prediction intervals based on progressively Type-II censored data are derived. For the illustration of the developed results, the exponential, Pareto, Weibull and Burr Type-XII models are used as examples. Some of the previous results in the literature such as Dunsmore (Technometrics 16:455-460, 1974), Nigm and Hamdy (Commun Stat Theory Methods 16:1761-1772, 1987), Nigm (Commun Stat Theory Methods 18:897-911, 1989), Al-Hussaini and Jaheen (Commun Stat Theory Methods 24:1829-1842, 1995), Al-Hussaini (J Stat Plan Inference 79:79-91, 1999), Ali Mousa (J Stat Comput Simul 71: 163-181, 2001) and Ali Mousa and Jaheen (Stat Pap 43:587-593, 2002) can be achieved as special cases of our results. Finally, some numerical computations are presented for illustrating all the proposed inferential procedures.