{"title":"On the Accuracy of Approximation of a Binomial Distribution by a Poisson Law","authors":"S. V. Nagaev","doi":"10.1134/s1055134422010059","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We deduce a number of new estimates for the proximity of a binomial distribution to the\ncorresponding Poisson distribution in the uniform metric and propose a combined approach to\nestimate this uniform distance when, for small <span>\\(n\\)</span> and large\n<span>\\(p \\)</span>, the estimation is performed by computer\ncalculating and the estimates obtained in the paper are used for the remaining values of\n<span>\\(n \\)</span> and <span>\\(p \\)</span>.\n</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"15 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Advances in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1055134422010059","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
We deduce a number of new estimates for the proximity of a binomial distribution to the
corresponding Poisson distribution in the uniform metric and propose a combined approach to
estimate this uniform distance when, for small \(n\) and large
\(p \), the estimation is performed by computer
calculating and the estimates obtained in the paper are used for the remaining values of
\(n \) and \(p \).
期刊介绍：
Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.
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