Distributions on Partitions

Robert Keener; Edward Rothman; Norman Starr

doi:10.1214/aos/1176350604

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Home > Journals > Ann. Statist. > Volume 15 > Issue 4 > Article

December, 1987 Distributions on Partitions

Robert Keener, Edward Rothman, Norman Starr

Ann. Statist. 15(4): 1466-1481 (December, 1987). DOI: 10.1214/aos/1176350604

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Abstract

A two parameter family of distributions on partitions is obtained by mixing a multinomial with a symmetric Dirichlet distribution. Estimates for the parameters are proposed and studied in various asymptotic limits.

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Robert Keener. Edward Rothman. Norman Starr. "Distributions on Partitions." Ann. Statist. 15 (4) 1466 - 1481, December, 1987. https://doi.org/10.1214/aos/1176350604

Information

Published: December, 1987

First available in Project Euclid: 12 April 2007

zbMATH: 0629.62023

MathSciNet: MR913568

Digital Object Identifier: 10.1214/aos/1176350604

Subjects:

Primary: 62E20

Secondary: 62F10

Keywords: Bose-Einstein , Convergence in distribution , Ewens' sampling formula , maximum likelihood estimation , Maxwell-Boltzmann , partitions , unbiased estimation