Moment representation of Bernoulli polynomial, Euler polynomial and Gegenbauer polynomials

Ping Sun

Statistics & Probability Letters, 2007, vol. 77, issue 7, 748-751

Abstract: The Hermite polynomials can be represented to the moments of normal distribution by the work of Withers [2000. A simple expression for the multivariate Hermite polynomials. Statist. Probab. Lett. 47, 165-169]. This paper generally shows certain combinatorial polynomials and orthogonal polynomials are also the moments of random variables, such as Bernoulli polynomials, Euler polynomials, Gegenbauer polynomials.

Keywords: Moment; Combinatorial; polynomials; Orthogonal; polynomials; Gamma; distribution; Laplace; distribution (search for similar items in EconPapers)
Date: 2007
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