On estimating the reliability in a multicomponent stress-strength model based on Chen distribution

Tanmay Kayal, Yogesh Mani Tripathi, Sanku Dey and Shuo-Jye Wu

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 10, 2429-2447

Abstract: In this article, we obtain point and interval estimates of multicomponent stress-strength reliability model of an s-out-of-j system using classical and Bayesian approaches by assuming both stress and strength variables follow a Chen distribution with a common shape parameter which may be known or unknown. The uniformly minimum variance unbiased estimator of reliability is obtained analytically when the common parameter is known. The behavior of proposed reliability estimates is studied using the estimated risks through Monte Carlo simulations and comments are obtained. Finally, a data set is analyzed for illustrative purposes.

Date: 2020
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:49:y:2020:i:10:p:2429-2447

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DOI: 10.1080/03610926.2019.1576886

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