Moment representation of Bernoulli polynomial, Euler polynomial and Gegenbauer polynomials

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.

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Year of publication:	2007
Authors:	Sun, Ping
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 77.2007, 7, p. 748-751
Publisher:	Elsevier
Keywords:	Moment Combinatorial polynomials Orthogonal polynomials Gamma distribution Laplace distribution

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005254767