{"title":"Evaluating the reliability of repairable systems","authors":"L. H. Crow","doi":"10.1109/ARMS.1990.67969","DOIUrl":null,"url":null,"abstract":"The Weibull-Poisson process (WPP) for representing the reliability of complex repairable systems is discussed. The emphasis is on estimation and other statistical methods for this model when data have been generated by multiple systems. Examples and procedures specifically illustrating these methods are given for several real-world situations. In addition to maximum likelihood estimation methods, goodness-of-fit tests and confidence interval procedures are discussed and illustrated by numerical examples. It is noted that in the case of one system the model reduces to a model for reliability growth. Confidence intervals for the WPP shape parameter and growth rate are given.<<ETX>>","PeriodicalId":383597,"journal":{"name":"Annual Proceedings on Reliability and Maintainability Symposium","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"124","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annual Proceedings on Reliability and Maintainability Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARMS.1990.67969","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 124
Abstract
The Weibull-Poisson process (WPP) for representing the reliability of complex repairable systems is discussed. The emphasis is on estimation and other statistical methods for this model when data have been generated by multiple systems. Examples and procedures specifically illustrating these methods are given for several real-world situations. In addition to maximum likelihood estimation methods, goodness-of-fit tests and confidence interval procedures are discussed and illustrated by numerical examples. It is noted that in the case of one system the model reduces to a model for reliability growth. Confidence intervals for the WPP shape parameter and growth rate are given.<>