A Reversibility Problem for Fleming-Viot Processes
A Reversibility Problem for Fleming-Viot Processes
复制标题
弗莱明-维奥过程的可逆性问题
DOI：
10.1214/ecp.v4-1007
复制
发表时间：
1999
期刊：
影响因子：
--
通讯作者：
L. Yao
中科院分区：
文献类型：
--
作者：
Zenghu Li;T. Shiga;L. Yao
考虑了结合突变和选择的弗莱明-维奥特过程。众所周知，如果突变因子是均匀类型，则过程具有可逆平稳分布，而表征具有可逆平稳分布的过程的类别一直是一个悬而未决的问题。本文证明，如果Fleming-Viot过程具有可逆平稳分布，则相关的变异算子是均匀类型的。
Fleming-Viot processes incorporating mutation and selection are considered. It is well-known that if the mutation factor is of uniform type, the process has a reversible stationary distribution, and it has been an open problem to characterize the class of the processes that have reversible stationary distributions. This paper proves that if a Fleming-Viot process has a reversible stationary distribution, then the associated mutation operator is of uniform type.