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Stationary distributions for a class of generalized Fleming-Viot processes

発表形態:
原著論文
主要業績:
主要業績
単著・共著:
単著
発表年月:
2014年05月
DOI:
会議属性:
指定なし
査読:
有り
リンク情報:
Annals of Probability

日本語フィールド

著者:
Kenji Handa
題名:
Stationary distributions for a class of generalized Fleming-Viot processes
発表情報:
Annals of Probability 巻: 42 号: 3 ページ: 1257-1284
キーワード:
generalized Fleming-Viot process, measure-valued branching process, stable random measure, Dirichlet random measure.
概要:
抄録:
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.

英語フィールド

Author:
Kenji Handa
Title:
Stationary distributions for a class of generalized Fleming-Viot processes
Announcement information:
Annals of Probability Vol: 42 Issue: 3 Page: 1257-1284
Keyword:
generalized Fleming-Viot process, measure-valued branching process, stable random measure, Dirichlet random measure.
An 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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