{"title":"Probability bounds on downtimes","authors":"P. Brockett, M. Hinich","doi":"10.1002/NAV.3800320212","DOIUrl":null,"url":null,"abstract":"In this article we consider obtaining probability distributions for total downtime incurred for n units when we have only partial moment information about the downtime distribution per individual failure. Extremal distributions based upon the Markov‐Krein Theorem for Chebychev systems of functions and maximum entropy of distributions are presented.","PeriodicalId":431817,"journal":{"name":"Naval Research Logistics Quarterly","volume":"166 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1985-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Naval Research Logistics Quarterly","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/NAV.3800320212","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this article we consider obtaining probability distributions for total downtime incurred for n units when we have only partial moment information about the downtime distribution per individual failure. Extremal distributions based upon the Markov‐Krein Theorem for Chebychev systems of functions and maximum entropy of distributions are presented.
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