Ordered and unordered random partitions of an integer and the GEM distribution (Q1907906)
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scientific article; zbMATH DE number 844734
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ordered and unordered random partitions of an integer and the GEM distribution |
scientific article; zbMATH DE number 844734 |
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Ordered and unordered random partitions of an integer and the GEM distribution (English)
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13 February 1996
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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)].
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Donnelly-Tavaré-Griffiths formula
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Ewens sampling formula
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size-biased permutation
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