均值和方差的新界限

IF 0.4 4区数学 Q4 MATHEMATICS

Contributions To Discrete Mathematics Pub Date : 2023-04-07 DOI:10.47443/cm.2023.005

S. Filipovski

{"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}

引用次数: 0

摘要

本文导出了均匀分布离散随机变量的均值和方差的新边界。结果表明，在某些条件下，新结果优于Bhatia和Davies在美国报道的边界。数学。月刊107(2000)353-357]。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

New Bounds for the Mean and the Variance

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].

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Contributions To Discrete Mathematics MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

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.