A generalization of the Eulerian numbers with a probabilistic application

In this paper we study a generalization of the Eulerian numbers and a class of polynomials related to them. An interesting application to probability theory is given in Section 3. There we use these extended Eulerian numbers to construct an uncountably infinite family of lattice random variables whose first n moments coincide with the first n moments of the sum of n+1 uniform random variables. A number of combinatorial identities are also deduced.

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Year of publication:	1994
Authors:	Harris, Bernard ; Park, C. J.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 20.1994, 1, p. 37-47
Publisher:	Elsevier
Subject:	Eulerian numbers Lattice random variables

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

Persistent link: https://www.econbiz.de/10005254634