On the Accuracy of Approximation of a Binomial Distribution by a Poisson Law

被引：0
|
作者：
Nagaev S.V. [1 ]
机构：
[1] Sobolev Institute of Mathematics, Novosibirsk
来源：
Siberian Advances in Mathematics | 2022年 / 32卷 / 1期
关键词：
arithmetic distribution function; Bernoulli random variables; complex analysis; generation function; Poisson law;
D O I：
10.1134/S1055134422010059
中图分类号：
学科分类号：
摘要：
Abstract: We deduce a number of new estimates for the proximity of a binomial distribution to thecorresponding Poisson distribution in the uniform metric and propose a combined approach toestimate this uniform distance when, for small n and largep, the estimation is performed by computercalculating and the estimates obtained in the paper are used for the remaining values ofn and p. © 2022, Pleiades Publishing, Ltd.
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页码：58 / 78
页数：20
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