Suppose that the lifetimes of some units are independent but not identically distributed random variables, such that they come from a proportional hazard rate model; moreover, suppose that units are placed under progressively Type-II censoring scheme. In this paper, one-parameter exponential distribution is considered as the baseline distribution; the Bayes estimation of the mean time to failure for the baseline distribution is derived under a Balanced loss function. Toward this end, a conjugate prior is considered and the corresponding posterior distribution is determined. The performance of the proposed procedure is investigated via a real data set.

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