4 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…
On the Coalescence Time Distribution in Multi-type Supercritical Branching Processes
Janique Krasnowska, Paul Jenkins, Adam Johansen
Consider a population evolving as a discrete-time supercritical multi-type Galton--Watson process. Suppose we run the process for generations, then sample individuals unifo…
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…
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…