On Estimating the reliability in a multicomponent stress-strength model based on Chen Distribution

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Title:	On Estimating the reliability in a multicomponent stress-strength model based on Chen Distribution
Authors:	Kayal, Tanmay;Tripathi, Yogesh Mani;Dey, Sanku;Wu, Shuo-Jye
Keywords:	Bayesian estimation;highest posterior density interval;maximum likelihood estimation;reliability of multicomponent;stress-strength
Date:	2019-02-16
Issue Date:	2020-04-07 12:10:16 (UTC+8)
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.
Relation:	Communications in Statistics - Theory and Methods 49(10), p.2429-2447
DOI:	10.1080/03610926.2019.1576886
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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