5 papers · 1 filter
The Expected Sample Allele Frequencies from Populations of Changing Size via Orthogonal Polynomials
Lynette Caitlin Mikula, Claus Vogl
In this article, discrete and stochastic changes in (effective) population size are incorporated into the spectral representation of a biallelic diffusion process for drift and sma…
Forward-backward algorithms with a biallelic mutation-drift model: Orthogonal polynomials, and a coalescent/urn-model based approach
Claus Vogl, Sandra Peer, Lynette Caitlin Mikula
Inference of the marginal likelihood of sample allele configurations using backward algorithms yields identical results with the Kingman coalescent, the Moran model, and the diffus…
A nearly-neutral biallelic Moran model with biased mutation and linear and quadratic selection
Claus Vogl, Lynette Caitlin Mikula
In this article, a biallelic reversible mutation model with linear and quadratic selection is analyzed. The approach reconnects to one proposed by Kimura ( Possibility of extensive…
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…
Maximum likelihood (ML) estimators for scaled mutation parameters with a strand symmetric mutation model in equilibrium
Claus Vogl, Lynette Caitlin Mikula
With the multiallelic parent-independent mutation-drift model, the equilibrium proportions of alleles are known to be Dirichlet distributed. A special case is the biallelic model,…