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

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dc.contributor.authorRao, Gadde Srinivasa
dc.date.accessioned2020-11-25T07:41:11Z
dc.date.available2020-11-25T07:41:11Z
dc.date.issued2014
dc.descriptionAbstract. Full text available at https://digitalcommons.wayne.edu/jmasm/vol13/iss1/24/en_US
dc.description.abstractA 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.en_US
dc.identifier.citationRao, 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.en_US
dc.identifier.otherDOI: 10.22237/jmasm/1398918180
dc.identifier.urihttp://hdl.handle.net/20.500.12661/2596
dc.language.isoenen_US
dc.publisherWayne State University Library System in Detroiten_US
dc.subjectML estimationen_US
dc.subjectConfidence intervalsen_US
dc.subjectStress-strengthen_US
dc.subjectReliability estimationen_US
dc.subjectRayleigh distributionen_US
dc.subjectMaximum likelihooden_US
dc.subjectMLen_US
dc.subjectGeneralized rayleigh distributionen_US
dc.titleEstimation of reliability in multicomponent stress-strength based on generalized Rayleigh distributionen_US
dc.typeArticleen_US
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