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arXiv · 1205.0092

Stationary distributions for a class of generalized Fleming-Viot processes

Kenji Handa
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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.

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Kenji Handa. 2014-03-27. Stationary distributions for a class of generalized Fleming-Viot processes. https://doi.org/10.1214/12-aop829

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