Title: A Fleming-Viot Process and Bayesian Nonparametrics
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 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'olya-urn sequences has been established.