用泊松定律近似二项分布的准确性

Siberian Advances in Mathematics Pub Date : 2022-03-17 DOI:10.1134/s1055134422010059

S. V. Nagaev

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引用次数: 0

摘要

摘要本文推导了二项分布与对应泊松分布在均匀度量中的接近度的一些新估计，并提出了一种组合方法来估计该均匀距离，对于较小的\(n\)和较大的\(p \)，通过计算机计算进行估计，并将文中得到的估计用于\(n \)和\(p \)的剩余值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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 \(p \).

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

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.