{"title":"On the reliability of complex systems with three dependent components per element","authors":"M. Razmkhah, Zahra Saberzade","doi":"10.18869/ACADPUB.JIRSS.16.1.1001","DOIUrl":null,"url":null,"abstract":". The complex system containing n elements, each having three dependent components, is described. The reliability function of such systems is investigated using a trivariate binomial model. In addition, the mean residual life function of a complex system with intact components at time t is derived. The results are simplified for a trivariate Farlie-Gumbel-Morgenstern family with standard exponential marginal distribution functions. The e ff ect of various parameters on the reliability and mean residual life functions are studied via some graphical representations.","PeriodicalId":42965,"journal":{"name":"JIRSS-Journal of the Iranian Statistical Society","volume":"16 1","pages":"1-17"},"PeriodicalIF":0.1000,"publicationDate":"2017-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JIRSS-Journal of the Iranian Statistical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18869/ACADPUB.JIRSS.16.1.1001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 1
Abstract
. The complex system containing n elements, each having three dependent components, is described. The reliability function of such systems is investigated using a trivariate binomial model. In addition, the mean residual life function of a complex system with intact components at time t is derived. The results are simplified for a trivariate Farlie-Gumbel-Morgenstern family with standard exponential marginal distribution functions. The e ff ect of various parameters on the reliability and mean residual life functions are studied via some graphical representations.
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