14 citations · 27 across the 5 of their papers we have counts for
5 papers
Poisson-Dirichlet Distribution with Small Mutation Rate
Shui Feng
The behavior of the Poisson-Dirichlet distribution with small mutation rate is studied through large deviations. The structure of the rate function indicates that the number of all…
Reversibility of Interacting Fleming-Viot Processes with Mutation, Selection, and Recombination
Shui Feng, Byron Schmuland, Jean Vaillancourt +1
Reversibility of the Fleming-Viot process with mutation, selection, and recombination is well understood. In this paper, we study the reversibility of a system of Fleming-Viot proc…
A Class of Infinite Dimensional Diffusion Processes with Connection to Population Genetics
Shui Feng, Feng-Yu Wang
Starting from a sequence of independent Wright-Fisher diffusion processes on , we construct a class of reversible infinite dimensional diffusion processes on $\DD_\infty:= \…
Large deviations associated with Poisson--Dirichlet distribution and Ewens sampling formula
Shui Feng
Several results of large deviations are obtained for distributions that are associated with the Poisson--Dirichlet distribution and the Ewens sampling formula when the parameter $θ…
Moderate deviations for Poisson--Dirichlet distribution
Shui Feng, Fuqing Gao
The Poisson--Dirichlet distribution arises in many different areas. The parameter in the distribution is the scaled mutation rate of a population in the context of population g…