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math.PR2023
Excursion theory for the Wright-Fisher diffusion
Paul A. Jenkins, Jere Koskela, Victor M. Rivero +3
In this work, we develop excursion theory for the Wright--Fisher diffusion with mutation. Our construction is intermediate between the classical excursion theory where all excursio…
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…