Ordered and unordered random partitions of an integer and the GEM distribution
type: Item
instance of: scholarly article
title: Ordered and unordered random partitions of an integer and the GEM distribution
zbMATH Open document ID: 0843.60011
DOI: 10.1016/0167-7152(94)00220-3
author: Masaaki Sibuya
author: Hajime Yamato
published in: Statistics \& Probability Letters
publication date: 1996-02-13T00:00:00Z
review text: The authors show that the joint distribution of ordered (or unordered) frequencies of a sample from random proportions is the Donnelly-Tavaré-Griffiths formula (or the Ewens sampling formula) if and only if the size-biased permutation of the random proportions has the GEM distribution. Obtained results are related to those of \textit{J. F. C. Kingman} [Theor. Popul. Biol. 11, 274-283 (1977; Zbl 0421.92011)] and \textit{P. Donnelly} and \textit{P. Joyce} [Adv. Appl. Probab. 23, No. 2, 229-258 (1991; Zbl 0724.60040)].
Mathematics Subject Classification ID: 60C05
zbMATH DE Number: 844734
zbMATH Keywords: Donnelly-Tavaré-Griffiths formula
zbMATH Keywords: Ewens sampling formula
zbMATH Keywords: size-biased permutation
reviewed by: Barbara Szyszkowicz
MaRDI profile type: Publication
full work available at URL: 0167-7152(94)00220-3
OpenAlex ID: W1988851417
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description: scientific article; zbMATH DE number 844734