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A Representation for Multinomial Cumulative Distribution Functions

Bruce Levin

The Annals of Statistics · 1981 · Volume 9 · Issue 5

DOI: 10.1214/aos/1176345593

Abstract

A re-expression of the usual representation of the multinomial distribution as the conditional distribution of independent Poisson random variables given fixed sum provides a convenient new way to compute multinomial cumulative distribution functions.

Keywords

05A15, 41A60, 62E15, 62G30, 62H10, generating functions, maximum cell distribution, Multinomial cdf, representations

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