6 papers
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…
Bayesian inference from time series of allele frequency data using exact simulation techniques
Jaromir Sant, Paul A. Jenkins, Jere Koskela +1
A central statistical problem in population genetics is to infer evolutionary and biological parameters such as the strength of natural selection and allele age from DNA samples ex…
The effective strength of selection in random environment
Adrián González Casanova, Dario Spanò, Maite Wilke-Berenguer
We analyse a family of two-types Wright-Fisher models with selection in a random environment and skewed offspring distribution. We provide a calculable criterion to quantify the im…
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…
Dual process in the two-parameter Poisson-Dirichlet diffusion
Robert C. Griffiths, Matteo Ruggiero, Dario Spanò +1
The two-parameter Poisson-Dirichlet diffusion takes values in the infinite ordered simplex and extends the celebrated infinitely-many-neutral-alleles model, having a two-parameter…