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math.PR2020★ 2 cited
Weak convergence of the scaled jump chain and number of mutations of the Kingman coalescent
Martina Favero, Henrik Hult
The Kingman coalescent is a fundamental process in population genetics modelling the ancestry of a sample of individuals backwards in time. In this paper, in a large-sample-size re…
math.PR2020★ 3 cited
Asymptotic behaviour of sampling and transition probabilities in coalescent models under selection and parent dependent mutations
Martina Favero, Henrik Hult
The results in this paper provide new information on asymptotic properties of classical models: the neutral Kingman coalescent under a general finite-alleles, parent-dependent muta…
math.PR2019★ 10 cited
A dual process for the coupled Wright-Fisher diffusion
Martina Favero, Henrik Hult, Timo Koski
The coupled Wright-Fisher diffusion is a multi-dimensional Wright-Fisher diffusion for multi-locus and multi-allelic genetic frequencies, expressed as the strong solution to a syst…