Generalization and Probabilistic Proof of a Combinatorial Identity

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 n of the chi-square random variable with m degrees of freedom. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published inThe American mathematical monthly Vol. 118; no. 2; p. 1
Main Authors Chang, Guisong, Xu, Chen
Format Journal Article
LanguageEnglish
Published Washington Taylor & Francis Ltd 01.02.2011
Subjects
Probability distribution
Proof theory
Random variables
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Summary: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 n of the chi-square random variable with m degrees of freedom. [PUBLICATION ABSTRACT]
ISSN:0002-9890
1930-0972