The E-Bayesian and hierarchical Bayesian estimations for the system reliability parameter |
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Authors: | Ming Han |
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Institution: | School of Science, Ningbo University of Technology, Ningbo, China |
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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. |
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Keywords: | E-Bayesian estimation Failure probability Hierarchical Bayesian estimation Parameter estimation Reliability engineering |
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