Generalization and Probabilistic Proof of a Combinatorial Identity

被引：14

作者：

Chang, Guisong ^{[1
]}

Xu, Chen ^{[1
]}

机构：

[1] Northeastern Univ, Dept Math, Shenyang 110004, Peoples R China

来源：

AMERICAN MATHEMATICAL MONTHLY | 2011年 / 118卷 / 02期

关键词：

D O I：

10.4169/amer.math.monthly.118.02.175

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we give a probabilistic proof of a combinatorial identity which involves binomial coefficients. Our results consist of showing that the identity essentially computes the moment of order a of the chi-square random variable with m degrees of freedom.

引用

页码：175 / 177

页数：3

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