Large deviations associated with Poisson-Dirichlet distribution and Ewens sampling formula

DOI10.1214/105051607000000230zbMath1145.92025arXiv0710.5577OpenAlexW3103120851MaRDI QIDQ2475032

Shui Feng

Publication date: 20 March 2008

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5577

zbMATH Keywords

Dirichlet distributionGEM representation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Large deviations (60F10) Genetics and epigenetics (92D10)

Related Items

Mod-\( \phi\) convergence of Stirling distributions and limit theorems for zeros of their generating functions, Hierarchical Dirichlet process and relative entropy, Small-time sampling behavior of a Fleming-Viot process, Unnamed Item, On Poisson approximations for the Ewens sampling formula when the mutation parameter grows with the sample size, Moderate deviations for Poisson-Dirichlet distribution, Estimating the large mutation parameter of the Ewens sampling formula, Diffusion processes and the Ewens sampling formula, Poisson-Dirichlet distribution with small mutation rate

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