A probabilistic approach to Wallis' formula

作者:Wei, Zhengyuan*; Li, Juan; Zheng, Xiaoyang
来源:Communications in Statistics - Theory and Methods, 2017, 46(13): 6491-6496.
DOI:10.1080/03610926.2015.1129418

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.