The mutual arrangement of Wright-Fisher diffusion path measures and its impact on parameter estimation
PA Jenkins - arXiv preprint arXiv:2410.15955, 2024 - arxiv.org
The Wright-Fisher diffusion is a fundamentally important model of evolution encompassing
genetic drift, mutation, and natural selection. Suppose you want to infer the parameters …
genetic drift, mutation, and natural selection. Suppose you want to infer the parameters …
Excursion theory for the Wright-Fisher diffusion
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 excursions …
construction is intermediate between the classical excursion theory where all excursions …
An estimator for the recombination rate from a continuously observed diffusion of haplotype frequencies
RC Griffiths, PA Jenkins - Journal of Mathematical Biology, 2023 - Springer
Recombination is a fundamental evolutionary force, but it is difficult to quantify because the
effect of a recombination event on patterns of variation in a sample of genetic data can be …
effect of a recombination event on patterns of variation in a sample of genetic data can be …
Statistical inference for diffusions in genetics
J Sant - 2021 - wrap.warwick.ac.uk
In this thesis we consider theoretical and practical aspects of conducting inference on data
coming from the Wright {Fisher diffusion, which arises as the scaling limit of several discrete …
coming from the Wright {Fisher diffusion, which arises as the scaling limit of several discrete …