A Fleming--Viot process and Bayesian nonparametrics

Details A Fleming--Viot process and Bayesian nonparametrics A Fleming--Viot process and Bayesian nonparametrics

2007-02-28

arxiv.org/abs/math/0702885v1

Annals of Applied Probability 2007, Vol. 17, No. 1, 67-80

Mathematics

Probability

Published at http://dx.doi.org/10.1214/105051606000000600 in the Annals of Applied Probability (http://www.imstat.org/aap/) by

Scientific paper

10.1214/105051606000000600

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 P\'{o}lya-urn sequences has been established.

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