A Fleming-Viot process and Bayesian nonparametrics

Walker, Stephen G., Hatjispyros, Spyridon J., Nicoleris, Theodoros (2007) A Fleming-Viot process and Bayesian nonparametrics. Annals of Applied Probability, 17 (1). pp. 67-80. ISSN 1050-5164. (doi:10.1214/105051606000000600)

Abstract

This paper provides a construction of a Fleming-Viot measure valued diffusion process, for which the transition function is known, by extending recent ideas of the Gibbs sampler based Markov processes. In particular, we concentrate on the Chapman-Kolmogorov consistency conditions which allows a simple derivation of such a Fleming-Viot process, once a key and apparently new combinatorial result for Polya-urn sequences has been established

Item Type:	Article
DOI/Identification number:	10.1214/105051606000000600
Uncontrolled keywords:	Chapman-Kolmogorov; diffusion process; Dirichlet process; Polya-urn scheme; population genetics
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions:	Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User:	Maureen Cook
Date Deposited:	30 Jun 2008 10:49 UTC
Last Modified:	28 May 2019 13:39 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/3778 (The current URI for this page, for reference purposes)