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

DOI10.1016/0167-7152(94)00220-3zbMath0843.60011OpenAlexW1988851417MaRDI QIDQ1907906

Masaaki Sibuya, Hajime Yamato

Publication date: 13 February 1996

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00220-3

zbMATH Keywords

Ewens sampling formulasize-biased permutationDonnelly-Tavaré-Griffiths formula

Mathematics Subject Classification ID

Combinatorial probability (60C05)

Related Items (8)

A generalization of the donnelly-tavare-griffiths formula ⋮ Distributions of random partitions and their applications ⋮ On the donnelly-tavaré-griffiths formula associated with the coalescent ⋮ On random splitting of the interval. ⋮ The distribution of frequencies of discrete order statistics and the donnelly-tavaré-griffiths formula ⋮ Sampling Formulae Arising from Random Dirichlet Populations ⋮ Unordered and ordered sample from Dirichlet distribution ⋮ Ordered sample from two-parameter GEM distribution

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• A random clustering process
• Ferguson distributions via Polya urn schemes
• Consistent ordered sampling distributions: characterization and convergence
• The ages of alleles and a coalescent
• The stationary distribution of the infinitely-many neutral alleles diffusion model

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