Stationary distributions for a class of generalized Fleming-Viot processes
Probability
2014-03-28 v3
Abstract
We identify stationary distributions of generalized Fleming-Viot processes with jump mechanisms specified by certain beta laws together with a parameter measure. Each of these distributions is obtained from normalized stable random measures after a suitable biased transformation followed by mixing by the law of a Dirichlet random measure with the same parameter measure. The calculations are based primarily on the well-known relationship to measure-valued branching processes with immigration.
Keywords
Cite
@article{arxiv.1205.0092,
title = {Stationary distributions for a class of generalized Fleming-Viot processes},
author = {Kenji Handa},
journal= {arXiv preprint arXiv:1205.0092},
year = {2014}
}
Comments
Published in at http://dx.doi.org/10.1214/12-AOP829 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)