Ordered and unordered random partitions of an integer and the GEM distribution

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.

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Year of publication:	1995
Authors:	Sibuya, Masaaki ; Yamato, Hajime
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 25.1995, 2, p. 177-183
Publisher:	Elsevier
Keywords:	Donnelly-Tavare-Griffiths formula Ewens sampling formula Hoppe's urn Poisson-Dirichlet distribution Size-biased permutation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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