Annals of Statistics

A Representation for Multinomial Cumulative Distribution Functions

Bruce Levin

Full-text: Open access

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.

Article information

Source
Ann. Statist., Volume 9, Number 5 (1981), 1123-1126.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176345593

Digital Object Identifier
doi:10.1214/aos/1176345593

Mathematical Reviews number (MathSciNet)
MR628769

Zentralblatt MATH identifier
0472.62021

JSTOR
links.jstor.org

Subjects
Primary: 62E15: Exact distribution theory
Secondary: 62G30: Order statistics; empirical distribution functions 62H10: Distribution of statistics 05A15: Exact enumeration problems, generating functions [See also 33Cxx, 33Dxx] 41A60: Asymptotic approximations, asymptotic expansions (steepest descent, etc.) [See also 30E15]

Keywords
Multinomial cdf maximum cell distribution generating functions representations

Citation

Levin, Bruce. A Representation for Multinomial Cumulative Distribution Functions. Ann. Statist. 9 (1981), no. 5, 1123--1126. doi:10.1214/aos/1176345593. https://projecteuclid.org/euclid.aos/1176345593


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