Monotonicity properties of the Poisson approximation to the binomial distribution

被引：2

作者：

Pinelis, Iosif ^{[1
]}

机构：

[1] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA

来源：

STATISTICS & PROBABILITY LETTERS | 2020年 / 167卷

关键词：

Binomial distribution; Poisson distribution; Approximation; Monotonicity; Kolmogorov's distance; Tests of significance;

D O I：

10.1016/j.spl.2020.108901

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Certain monotonicity properties of the Poisson approximation to the binomial distribution are established. As a natural application of these results, exact (rather than approximate) tests of hypotheses on an unknown value of the parameter p of the binomial distribution are presented. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：7

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