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E-Bayesian and hierarchical Bayesian estimations for the system reliability parameter based on asymmetric loss function

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  • F. Yousefzadeh

Abstract

This paper explores properties of the E-Bayesian and hierarchical Bayesian estimations of the system reliability parameter. E-Bayesian estimation and hierarchical Bayesian estimation of Pascal distribution's parameter under two loss function, LINEX loss function and entropy loss function can be found. We obtained limits of that the E-Bayesian estimation and hierarchical Bayesian estimation are equal. A Monte Carlo simulation is used to compare performances of the two methods.

Suggested Citation

  • F. Yousefzadeh, 2017. "E-Bayesian and hierarchical Bayesian estimations for the system reliability parameter based on asymmetric loss function," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(1), pages 1-8, January.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:1:p:1-8
    DOI: 10.1080/03610926.2014.968736
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    Cited by:

    1. Tianyu Liu & Lulu Zhang & Guang Jin & Zhengqiang Pan, 2022. "Reliability Assessment of Heavily Censored Data Based on E-Bayesian Estimation," Mathematics, MDPI, vol. 10(22), pages 1-14, November.
    2. Hassan M. Okasha & Abdulkareem M. Basheer & Yuhlong Lio, 2022. "The E-Bayesian Methods for the Inverse Weibull Distribution Rate Parameter Based on Two Types of Error Loss Functions," Mathematics, MDPI, vol. 10(24), pages 1-27, December.

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