Jump-type Fleming-Viot processes

被引：15

作者：

Hiraba, S ^{[1
]}

机构：

[1] Osaka City Univ, Grad Sch Sci, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan

来源：

ADVANCES IN APPLIED PROBABILITY | 2000年 / 32卷 / 01期

关键词：

measure-valued process; branching process; Fleming-Viot process; branching particle system; Moran particle system; martingale problem; convergence in distribution;

D O I：

10.1017/S0001867800009812

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In 1991 Perkins [7] showed that the normalized critical binary branching process is a time inhomogeneous Fleming-Viot process. In the present paper we extend this result to jump-type branching processes and we show that the normalized jump-type branching processes are in a new class of probability measure-valued processes which will be called 'jump-type Fleming-Viot processes'. Furthermore we also show that by using these processes it is possible to introduce another new class of measure-valued processes which are obtained by the combination of jump-type branching processes and Fleming-Viot processes.

引用

页码：140 / 158

页数：19

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