March 2015 Ergodic inequality of a two-parameter infinitely-many-alleles diffusion model
Youzhou Zhou
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J. Appl. Probab. 52(1): 238-246 (March 2015). DOI: 10.1239/jap/1429282618

Abstract

In this paper three models are considered. They are the infinitely-many-neutral-alleles model of Ethier and Kurtz (1981), the two-parameter infinitely-many-alleles diffusion model of Petrov (2009), and the infinitely-many-alleles model with symmetric dominance Ethier and Kurtz (1998). New representations of the transition densities are obtained for the first two models and the ergodic inequalities are provided for all three models.

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Youzhou Zhou. "Ergodic inequality of a two-parameter infinitely-many-alleles diffusion model." J. Appl. Probab. 52 (1) 238 - 246, March 2015. https://doi.org/10.1239/jap/1429282618

Information

Published: March 2015
First available in Project Euclid: 17 April 2015

zbMATH: 1322.60166
MathSciNet: MR3336858
Digital Object Identifier: 10.1239/jap/1429282618

Subjects:
Primary: 60J60
Secondary: 37A30

Keywords: ergodic inequality , Transition density , two-parameter Poisson-Dirichlet distribution

Rights: Copyright © 2015 Applied Probability Trust

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Vol.52 • No. 1 • March 2015
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