{"title":"An inequality for log-concave functions and its use in the study of failure rates","authors":"Mahdi Alimohammadi, N. Balakrishnan, T. Simon","doi":"10.1017/s0269964824000056","DOIUrl":null,"url":null,"abstract":"\n We establish here an integral inequality for real log-concave functions, which can be viewed as an average monotone likelihood property. This inequality is then applied to examine the monotonicity of failure rates.","PeriodicalId":0,"journal":{"name":"","volume":"83 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1017/s0269964824000056","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
We establish here an integral inequality for real log-concave functions, which can be viewed as an average monotone likelihood property. This inequality is then applied to examine the monotonicity of failure rates.
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