A Simple Probabilistic Proof for the Alternating Convolution of the Central Binomial Coefficients

Ashok Kumar Pathak

The American Statistician, 2018, vol. 72, issue 3, 287-288

Abstract: This note presents a simple probabilistic proof of the identity for the alternating convolution of the central binomial coefficients. The proof of the identity involves the computation of moments of order n for the product of standard normal random variables.

Date: 2018
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DOI: 10.1080/00031305.2017.1358216

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