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
收藏
页码：175 / 177
页数：3
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