ON THE NORMAL APPROXIMATION TO SYMMETRIC BINOMIAL DISTRIBUTIONS

被引：14

作者：

Hipp, C. ^{[1
]}

Mattner, L. ^{[2
]}

机构：

[1] Univ Karlsruhe TH, Lehrstuhl Versicherungswissensch, D-76128 Karlsruhe, Germany

[2] Med Univ Lubeck, Inst Math, D-23560 Lubeck, Germany

来源：

THEORY OF PROBABILITY AND ITS APPLICATIONS | 2008年 / 52卷 / 03期

关键词：

binomial distribution; central limit theorem; optimal error bound; symmetric Bernoulli variables;

D O I：

10.1137/S0040585X97983213

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：

The optimal constant over the square root of n error bound in the central limit theorem for distribution functions of sums of independent symmetric Bernoulli random variables is 1/root 2 pi n.

引用

页码：516 / 523

页数：8

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