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 HandaTitle:Stationary distributions for a class of generalized Fleming-Viot processesAnnouncement information:Annals of Probability Vol: 42 Issue: 3 Page: 1257-1284Keyword: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.