68 citations · 320 across the 33 of their papers we have counts for
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Maximum likelihood estimators for scaled mutation rates in an equilibrium mutation-drift model
Claus Vogl, Lynette C. Mikula, Conrad J. Burden
The stationary sampling distribution of a neutral decoupled Moran or Wright-Fisher diffusion with neutral mutations is known to first order for a general rate matrix with small but…
Coalescence in the diffusion limit of a Bienayme-Galton-Watson branching process
Conrad J. Burden, Albert C. Soewongsono
We consider the problem of estimating the elapsed time since the most recent common ancestor of a finite random sample drawn from a population which has evolved through a Bienayme-…
The stationary distribution of a sample from the Wright-Fisher diffusion model with general small mutation rates
Conrad J. Burden, Robert C. Griffiths
The stationary distribution of a sample taken from a Wright-Fisher diffusion with general small mutation rates is found using a coalescent approach. The approximation is equivalent…
Stationary distribution of a 2-island 2-allele Wright-Fisher diffusion model with slow mutation and migration rates
Conrad J. Burden, Robert C. Griffiths
The stationary distribution of the diffusion limit of the 2-island, 2-allele Wright-Fisher with small but otherwise arbitrary mutation and migration rates is investigated. Followin…
Mutation in Populations Governed by a Galton-Watson Branching Process
Conrad J. Burden, Yi Wei
A population genetics model based on a multitype branching process, or equivalently a Galton-Watson branching process for multiple alleles, is pre- sented. The diffusion limit forw…
Rate Matrix Estimation From Site Frequency Data
Conrad J. Burden, Yurong Tang
A procedure is described for estimating evolutionary rate matrices from observed site frequency data. The procedure assumes (1) that the data are obtained from a constant size popu…
An approximate stationary solution for multi-allele neutral diffusion with low mutation rates
Conrad J. Burden, Yurong Tang
We address the problem of determining the stationary distribution of the multi-allelic, neutral-evolution Wright-Fisher model in the diffusion limit. A full solution to this proble…