The E-Bayesian and hierarchical Bayesian estimations for the system reliability parameter

Ming Han

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 4, 1606-1620

Abstract: Han introduced an E-Bayesian estimation method for estimating a system failure probability and revealed the relationship between the E-Bayesian estimates under three different prior distributions of hyperparameters in 2007. In this article, formulas of the hierarchical Bayesian estimation of a system failure probability are investigated and, furthermore, the relationship between hierarchical Bayesian estimation and E-Bayesian estimation is discussed. Finally, numerical example and application example are provided for illustrative purpose.

Date: 2017
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DOI: 10.1080/03610926.2015.1024861

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