{"title":"Some Inequalities for Distributions with Monotone Hazard Rate","authors":"N. Ushakov, V. Ushakov","doi":"10.1109/SMRLO.2016.56","DOIUrl":null,"url":null,"abstract":"Extreme statistics naturally arise in many problems of reliability and survival analysis. In this paper, we obtain several inequalities for the expectation of extreme statistics of a random sample drawn from a distribution with monotone hazard rate. Such distributions are important in many applications and are of special interest. The inequalities are sharp and can be used, in particular, in some characterization problems.","PeriodicalId":254910,"journal":{"name":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","volume":"83 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SMRLO.2016.56","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Extreme statistics naturally arise in many problems of reliability and survival analysis. In this paper, we obtain several inequalities for the expectation of extreme statistics of a random sample drawn from a distribution with monotone hazard rate. Such distributions are important in many applications and are of special interest. The inequalities are sharp and can be used, in particular, in some characterization problems.
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