A representation of a discrete distribution by its binomial moments

A representation of a discrete distribution by its binomial moments

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Article ID: iaor1990766
Country: Israel
Volume: 27
Issue: 1
Start Page Number: 1
End Page Number: 7
Publication Date: Mar 1990
Journal: Journal of Applied Probability
Authors: , ,
Abstract:

Let pk,k≥0, be a probability distribution having finite binomial moments Br,r≥0, and the probability generating function U(z) with a radius of convergence α(¸≥1). In this note explicit and recursive formulae are derived allowing computation of the pk in terms of the Br if α>1. Ch. Jordan’s formula, which holds if α>2, turns out to be a special case.

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