{"title":"对数凹函数不等式及其在故障率研究中的应用","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":"{\"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}","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}
An inequality for log-concave functions and its use in the study of failure rates
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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