Bayesian prediction of minimal repair times of a series system based on hybrid censored sample of components' lifetimes under Rayleigh distribution

2015/05/24 by S.M.T.K. MirMostafaee, Morteza Amini, MirMostafaee, S. M. T. K. +3
Decision Sciences · Engineering · Mathematics · #FOS: Mathematics #Probabilistic and Robust Engineering Design #Reliability and Maintenance Optimization #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1505.06417

openalex publication_date 2015/05/24 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we develop Bayesian predictive inferential procedures for prediction of repair times of a series system, applying a minimal repair strategy, using the information contained in an independent observed hybrid censored sample of the lifetimes of the components of the system, assuming the underlying distribution of the lifetimes to be Rayleigh distribution. An illustrative real data example and a simulation study are presented for the purpose of illustration and comparison of the proposed predictors.

Citations

• Truncated Life Tests in the Exponential Case

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