{"title":"Poisson's law and information theory","authors":"P. Harremoes, Aureh","doi":"10.1109/ISIT.2001.935909","DOIUrl":null,"url":null,"abstract":"The binomial and the Poisson distributions are shown to be maximum entropy distributions of suitably defined sets. Poisson's law is considered as a case of entropy maximization, and also convergence in information divergence is established.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"349 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2001.935909","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The binomial and the Poisson distributions are shown to be maximum entropy distributions of suitably defined sets. Poisson's law is considered as a case of entropy maximization, and also convergence in information divergence is established.