Asymptotic behavior of the Poisson-Dirichlet distribution for large mutation rate

DOI10.1214/105051605000000818zbMath1119.92046arXivmath/0607070OpenAlexW3105302963MaRDI QIDQ997941

Shui Feng, Donald A. Dawson

Publication date: 8 August 2007

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

Full work available at URL: https://arxiv.org/abs/math/0607070

zbMATH Keywords

large deviationshomozygosityPoisson-Dirichlet distributionGEM representation

Mathematics Subject Classification ID

Large deviations (60F10) Genetics and epigenetics (92D10)

Related Items (13)

Asymptotic Behaviour of Poisson-Dirichlet Distribution and Random Energy Model ⋮ A Central Limit Theorem Associated with the Transformed Two-Parameter Poisson–Dirichlet Distribution ⋮ Canonical moments and random spectral measures ⋮ Asymptotic behaviour of an infinitely-many-alleles diffusion with symmetric overdominance ⋮ Functional central limit theorems for stick-breaking priors ⋮ Stochastic model for cell polarity ⋮ Large deviations associated with Poisson-Dirichlet distribution and Ewens sampling formula ⋮ Moderate deviations for Poisson-Dirichlet distribution ⋮ Gamma-Dirichlet algebra and applications ⋮ Asymptotic results for the two-parameter Poisson-Dirichlet distribution ⋮ Poisson-Dirichlet distribution with small mutation rate ⋮ Limit theorems associated with the Pitman–Yor process ⋮ A conversation with Don Dawson

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