Expectation identity for the binomial distribution and its application in the calculations of high-order binomial moments

Ying-Ying Zhang, Teng-Zhong Rong and Man-Man Li

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 22, 5467-5476

Abstract: For the exponential families normal, gamma, beta, Poisson, and negative binomial, there exists an expectation identity for each of the family. For the binomial family, we discover an expectation identity, which is useful in analytical calculations of its high-order moments.

Date: 2019
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DOI: 10.1080/03610926.2018.1435818

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