Standard Article

Multinomial Distribution, Inferences for

Statistical Theory and Methods

  1. Marc Hallin1,2

Published Online: 15 JAN 2013

DOI: 10.1002/9780470057339.vnn101

Encyclopedia of Environmetrics

Encyclopedia of Environmetrics

How to Cite

Hallin, M. 2013. Multinomial Distribution, Inferences for. Encyclopedia of Environmetrics. 4.

Author Information

  1. 1

    Université Libre de Bruxelles, Belgium

  2. 2

    Université libre de Bruxelles, Bruxelles, Belgium and Princeton University, Princeton, NJ, USA

Publication History

  1. Published Online: 15 JAN 2013


This article briefly summarizes, for the purpose of easy reference, the definition and main properties of multinomial distributions.


  • multinomial distribution;
  • binomial distribution;
  • exponential family;
  • chi-square tests;
  • discrete distribution;
  • counting data;
  • goodness of fit;
  • homogeneity;
  • independence