5 papers · 1 filter
Genealogical processes of sequential Monte Carlo methods and other non-neutral population models under rapid mutation
Jere Koskela, Paul A. Jenkins, Adam M. Johansen +1
We show that genealogical trees arising from a broad class of non-neutral models of population evolution converge to the Kingman coalescent under a suitable rescaling of time. As w…
A debiased Bernoulli factory and unbiased estimation of a probability
Jere Koskela, Toni Karvonen, Krzysztof ÅatuszyÅski +1
Given a known function and a random but almost surely finite number of independent, Ber-distributed random variables with unknown , w…
Multi-type -coalescents from structured population models with bottlenecks
Marta Dai Pra, Alison Etheridge, Jere Koskela +1
We introduce an individual-based model for structured populations undergoing demographic bottlenecks, i.e. drastic reductions in population size that last many generations and can…
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…
Bernoulli factories and duality in Wright-Fisher and Allen-Cahn models of population genetics
Jere Koskela, Krzysztof ÅatuszyÅski, Dario Spanò
Mathematical models of genetic evolution often come in pairs, connected by a so-called duality relation. The most seminal example are the Wright-Fisher diffusion and the Kingman co…