A probabilistic approach to Wallis' formula

被引：1

作者：

Wei, Zhengyuan ^{[1
]}

Li, Juan ^{[1
]}

Zheng, Xiaoyang ^{[1
]}

机构：

[1] Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 13期

关键词：

Central limit theorem; normal approximation; Wallis' formula;

D O I：

10.1080/03610926.2015.1129418

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：

We present an alternative proof of Wallis' formula from the probabilistic point of view. Based on the classical central limit theorem, some discrete distributions with additive property, such as binomial, negative binomial, Poisson and multinomial distributions, are considered to derive pi/2.

引用

页码：6491 / 6496

页数：6