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Decemmber 2011 The sampling formula and Laplace transform associated with the two-parameter Poisson-Dirichlet distribution
Fang Xu
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Adv. in Appl. Probab. 43(4): 1066-1085 (Decemmber 2011). DOI: 10.1239/aap/1324045699

Abstract

In this paper we investigate the relationship between the sampling formula and Laplace transform associated with the two-parameter Poisson-Dirichlet distribution. We conclude that they are equivalent to determining the corresponding infinite-dimensional distribution. With these tools, a central limit theorem is established associated with the infinitely-many-neutral-alleles model at any fixed time. We also obtain the probability generating function of random sampling from a generalized two-parameter diffusion process. At the end of the paper a selection case is considered.

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Fang Xu. "The sampling formula and Laplace transform associated with the two-parameter Poisson-Dirichlet distribution." Adv. in Appl. Probab. 43 (4) 1066 - 1085, Decemmber 2011. https://doi.org/10.1239/aap/1324045699

Information

Published: Decemmber 2011
First available in Project Euclid: 16 December 2011

zbMATH: 1251.60010
MathSciNet: MR2867946
Digital Object Identifier: 10.1239/aap/1324045699

Subjects:
Primary: 60C05
Secondary: 60F05

Rights: Copyright © 2011 Applied Probability Trust

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Vol.43 • No. 4 • Decemmber 2011
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