Genealogical processes for Fleming-Viot models with selection and recombination

被引:0
|
作者
Donnelly, P
Kurtz, TG
机构
[1] Univ Oxford, Dept Stat, Oxford OX1 3TG, England
[2] Univ Wisconsin, Dept Math & Stat, Madison, WI 53706 USA
关键词
genetic models; recombination; selection; Fleming-Viot process; particle representation; measure-valued diffusion; exchangeability; genealogical processes; coalescent;
D O I
暂无
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
Infinite population genetic models with general type space incorporating mutation, selection and recombination are considered. The Fleming-Viot measure-valued diffusion is represented in terms of a countably infinite-dimensional process. The complete genealogy of the population at each time can be recovered from the model. Results are given concerning the existence of stationary distributions and ergodicity and absolute continuity of the stationary distribution for a model vith selection with respect to the stationary distribution for the corresponding neutral model.
引用
收藏
页码:1091 / 1148
页数:58
相关论文
共 50 条