Estimation of reliability in multicomponent stress-strength based on generalized Rayleigh distribution

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dc.creatorRao, Gadde Srinivasa
dc.date2020-11-25T07:41:11Z
dc.date2020-11-25T07:41:11Z
dc.date2014
dc.date.accessioned2022-10-20T13:09:18Z
dc.date.available2022-10-20T13:09:18Z
dc.descriptionAbstract. Full text available at https://digitalcommons.wayne.edu/jmasm/vol13/iss1/24/
dc.descriptionA multicomponent system of k components having strengths following k- independently and identically distributed random variables x1, x2,…, xk and each component experiencing a random stress Y is considered. The system is regarded as alive only if at least s out of k (s < k) strengths exceed the stress. The reliability of such a system is obtained when strength and stress variates are given by a generalized Rayleigh distribution with different shape parameters. Reliability is estimated using the maximum likelihood (ML) method of estimation in samples drawn from strength and stress distributions; the reliability estimators are compared asymptotically. Monte-Carlo simulation is used to compare reliability estimates for the small samples and real data sets illustrate the procedure.
dc.identifierRao, G. S. (2014). Estimation of reliability in multicomponent stress-strength based on generalized Rayleigh distribution. Journal of Modern Applied Statistical Methods, 13(1), 367-379.
dc.identifierDOI: 10.22237/jmasm/1398918180
dc.identifierhttp://hdl.handle.net/20.500.12661/2596
dc.identifier.urihttp://hdl.handle.net/20.500.12661/2596
dc.languageen
dc.publisherWayne State University Library System in Detroit
dc.subjectML estimation
dc.subjectConfidence intervals
dc.subjectStress-strength
dc.subjectReliability estimation
dc.subjectRayleigh distribution
dc.subjectMaximum likelihood
dc.subjectML
dc.subjectGeneralized rayleigh distribution
dc.titleEstimation of reliability in multicomponent stress-strength based on generalized Rayleigh distribution
dc.typeArticle

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