{"title":"均值和方差的新界限","authors":"S. Filipovski","doi":"10.47443/cm.2023.005","DOIUrl":null,"url":null,"abstract":"In this article, new bounds for the mean and the variance of uniformly distributed discrete random variables are derived. It is shown that the new results, under certain conditions, are better than the bounds of Bhatia and Davies reported in [ Amer. Math. Monthly 107 (2000) 353–357].","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2023-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Bounds for the Mean and the Variance\",\"authors\":\"S. Filipovski\",\"doi\":\"10.47443/cm.2023.005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, new bounds for the mean and the variance of uniformly distributed discrete random variables are derived. It is shown that the new results, under certain conditions, are better than the bounds of Bhatia and Davies reported in [ Amer. Math. Monthly 107 (2000) 353–357].\",\"PeriodicalId\":48938,\"journal\":{\"name\":\"Contributions To Discrete Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-04-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Contributions To Discrete Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.47443/cm.2023.005\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contributions To Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.47443/cm.2023.005","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this article, new bounds for the mean and the variance of uniformly distributed discrete random variables are derived. It is shown that the new results, under certain conditions, are better than the bounds of Bhatia and Davies reported in [ Amer. Math. Monthly 107 (2000) 353–357].
期刊介绍：
Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.
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