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

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, <CitationRef CitationID="CR20">1974</CitationRef>), Nigm and Hamdy (Commun Stat Theory Methods 16:1761–1772, <CitationRef CitationID="CR29">1987</CitationRef>), Nigm (Commun Stat Theory Methods 18:897–911, <CitationRef CitationID="CR28">1989</CitationRef>), Al-Hussaini and Jaheen (Commun Stat Theory Methods 24:1829–1842, <CitationRef CitationID="CR8">1995</CitationRef>), Al-Hussaini (J Stat Plan Inference 79:79–91, <CitationRef CitationID="CR4">1999</CitationRef>), Ali Mousa (J Stat Comput Simul 71: 163–181, <CitationRef CitationID="CR9">2001</CitationRef>) and Ali Mousa and Jaheen (Stat Pap 43:587–593, <CitationRef CitationID="CR10">2002</CitationRef>) can be achieved as special cases of our results. Finally, some numerical computations are presented for illustrating all the proposed inferential procedures. Copyright Springer-Verlag 2013