Bayes Estimation of Reliability of Two-Component Cold Standby System

LI Ling; BAO Zhi-hui

doi:10.12152/j.issn.1672-2868.2019.03.004

Journal of Chaohu University >

2019 , Vol. 21 >Issue 3: 23 - 27

DOI: https://doi.org/10.12152/j.issn.1672-2868.2019.03.004

Bayes Estimation of Reliability of Two-Component Cold Standby System

LI Ling ,
BAO Zhi-hui

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School of Mathematics and Statistics, Huangshan University, Huangshan Anhui 245041

Received date: 2019-01-21

Online published: 2019-05-25

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Abstract

Abstract: Bayes estimation of reliability of two-component cold standby system is given. On this basis, we discuss the Bayes hypothesis and Jeffreys priori for the non-informative priori distribution of hyper-parameters, then the multi-layer Bayes estimation of the system reliability is given. The accuracy of multi-layer Bayes estimation under the two kinds of hyper-parametric prior distributions is compared by the example. We also compare the accuracy of Bayes estimation and multi -layer Bayes estimation. Finally, the rationality of multi -layer Bayes estimation is explained.

Key words： Key words: two-component; cold standby system; Bayes estimation; multi-layer Bayes estimation; Non-informative prior

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LI Ling , BAO Zhi-hui . Bayes Estimation of Reliability of Two-Component Cold Standby System[J]. Journal of Chaohu University, 2019 , 21(3) : 23 -27 . DOI: 10.12152/j.issn.1672-2868.2019.03.004

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