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A Bayesian Hierarchical Model for a Bathtub-Shaped Lifetime Distribution Based on Type-II Hybrid Censored Samples

Jung-In Seo, Yeon-Ju Seo, Suk-Bok Kang

Abstract


This paper proposes a Bayesian hierarchical model for a lifetime distribution having bathtubshaped failure rate function by considering an additional level to parameters of a conjugate prior distribution for the parameter of interest when a Type-II hybrid censored sample from the distribution is observed. The proposed method provides robust Bayes estimators.

Keywords


Bathtub-shape distribution, hierarchical Bayesian estimation, Type-II hybrid censored sample.

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