On structural predictive distribution with type II progressively censored Weibull data

This note applies the structural method of inference to derive a posterior distribution of Weibull parameters and to obtain predictive probability distributions of a set of future ordered failure times \(Y_{(n_1 )}< Y_{(n_2 )}< ...< Y_{(n_k )} \) from N future observations based on a set of type-II progressively censored sample data from a two-parameter Weibull population. In particular, a predictive distribution of the k^th future failure time is given in an integral form. A brief review of the literature on these topics is also given.