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math.PR2020
Diffusion Limits at Small Times for Coalescent Processes with Mutation and Selection
Philip A. Hanson, Paul A. Jenkins, Jere Koskela +1
The Ancestral Selection Graph (ASG) is an important genealogical process which extends the well-known Kingman coalescent to incorporate natural selection. We show that the number o…
math.PR2020
Convergence of Likelihood Ratios and Estimators for Selection in non-neutral Wright-Fisher Diffusions
Jaromir Sant, Paul A. Jenkins, Jere Koskela +1
A number of discrete time, finite population size models in genetics describing the dynamics of allele frequencies are known to converge (subject to suitable scaling) to a diffusio…