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A representation of a discrete distribution by its binomial moments
Published online by Cambridge University Press: 14 July 2016
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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- Copyright © Applied Probability Trust 1990
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