Bayesian nonparametric construction of the Fleming-Viot process with fertility selection

Ruggiero, M. and Walker, S.G. (2008) Bayesian nonparametric construction of the Fleming-Viot process with fertility selection. Statistica Sinica, 19 (2). pp. 707-720. ISSN 1017-0405 . (The full text of this publication is not available from this repository)

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Abstract

This paper provides a construction in the Bayesian framework of the Fleming-Viot measure-valued diffusion with diploid fertility selection, and highlights new connections between Bayesian nonparametrics and population genetics. Via a generalisation of the Blackwell-MacQueen Polya-urn scheme, a Markov particle process is defined such that the associated process of empirical measures converges to the Fleming-Viot diffusion. The stationary distribution, known from Ethier and Kurtz (1994), is then derived through an application of the Dirichlet process mixture model and shown to be the de Finetti measure of the particle process. The Fleming-Viot process with haploid selection is derived as a special case

Item Type: Article
Uncontrolled keywords: Blackwell-MacQueen urn-scheme; Dirichlet process mixture; fertility selection; Fleming-Viot process; Gibbs sampler
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Judith Broom
Date Deposited: 17 Apr 2009 08:45
Last Modified: 22 Aug 2009 14:49
Resource URI: http://kar.kent.ac.uk/id/eprint/12674 (The current URI for this page, for reference purposes)
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