{"title":"The Entropic Central Limit Theorem for Discrete Random Variables","authors":"Lampros Gavalakis, I. Kontoyiannis","doi":"10.1109/ISIT50566.2022.9834855","DOIUrl":null,"url":null,"abstract":"An information-theoretic proof of a strengthened version of the classical discrete central limit theorem is presented. Using only information-theoretic and elementary arguments, convergence to zero of the relative entropy between the standardised sum of n independent and identically distributed lattice random variables and an appropriately discretised Gaussian is established.","PeriodicalId":348168,"journal":{"name":"2022 IEEE International Symposium on Information Theory (ISIT)","volume":"80 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 IEEE International Symposium on Information Theory (ISIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT50566.2022.9834855","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
An information-theoretic proof of a strengthened version of the classical discrete central limit theorem is presented. Using only information-theoretic and elementary arguments, convergence to zero of the relative entropy between the standardised sum of n independent and identically distributed lattice random variables and an appropriately discretised Gaussian is established.
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