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Multinomial Distribution

, 2012
This article briefly summarizes, for the purpose of easy reference, the definition and main properties of multinomial distributions.
Hallin, M.
core   +4 more sources

Confidence Regions for the Multinomial Parameter With Small Sample Size [PDF]

Journal of the American Statistical Association, 2009
Consider the observation of n iid realizations of an experiment with d >= 2 possible outcomes, which corresponds to a single observation of a multinomial distribution M_d(n; p) where p is an unknown discrete distribution on \{1,...,d\}.
Djalil Chafaï, Didier Concordet
exaly   +2 more sources

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On exchangeable multinomial distributions

Biometrika, 2016
We derive an expression for the joint distribution of exchangeable multinomial random variables, which generalizes the multinomial distribution based on independent trials while retaining some of its important properties. Unlike de Finneti's representation theorem for a binary sequence, the exchangeable multinomial distribution derived here does not ...
E Olusegun, George, Kyeongmi, Cheon, Yilian, Yuan, Aniko, Szabo   +3 more
openaire   +2 more sources

Cumulants of multinomial and negative multinomial distributions

Statistics & Probability Letters, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Withers, Christopher S., Nadarajah, Saralees   +1 more
openaire   +1 more source

Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution

Theory of Probability & Its Applications, 2002
The generalized multinomial distribution is approximated by multinomial distributions and also by finite signed measures resulting from the corresponding multivariate Krawtchouk expansion. Bounds for the total variation norm and the $\ell_\infty$-norm are presented. The method used is a multivariate extension of that in~[B.~Roos, Theory Probab.
openaire   +2 more sources