On Probabilistic Proofs of Certain Binomial Identities

P. Vellaisamy

The American Statistician, 2015, vol. 69, issue 3, 241-243

Abstract: This short note gives a simple statistical proof of a binomial identity, by evaluating the Laplace transform of the maximum of n independent exponential random variables in two different ways. As a by-product, we obtain a rigorous proof of an interesting result concerning the exponential distribution. The connections between a probabilistic approach and our approach are discussed. In the process, several new binomial identities are also obtained.

Date: 2015
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DOI: 10.1080/00031305.2015.1056381

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