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

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  • Ming Han

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.

Suggested Citation

  • Ming Han, 2017. "The E-Bayesian and hierarchical Bayesian estimations for the system reliability parameter," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(4), pages 1606-1620, February.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:4:p:1606-1620
    DOI: 10.1080/03610926.2015.1024861
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    Cited by:

    1. Jia, Xiang & Guo, Bo, 2022. "Reliability analysis for complex system with multi-source data integration and multi-level data transmission," Reliability Engineering and System Safety, Elsevier, vol. 217(C).

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