The Kingman tree length process has infinite quadratic variation
I Dahmer, R Knobloch, A Wakolbinger - 2014 - projecteuclid.org
In the case of neutral populations of fixed sizes in equilibrium whose genealogies are
described by the Kingman N-coalescent back from time t consider the associated processes …
described by the Kingman N-coalescent back from time t consider the associated processes …
Limit theorems for pure death processes coming down from infinity
S Sagitov, T France - Journal of Applied Probability, 2017 - cambridge.org
In this paper we treat a pure death process coming down from infinity as a natural
generalization of the death process associated with the Kingman coalescent. We establish a …
generalization of the death process associated with the Kingman coalescent. We establish a …
Large deviations for homozygosity
DA Dawson, S Feng - 2016 - projecteuclid.org
For any m≧2, the homozygosity of order m of a population is the probability that a sample of
size m from the population consists of the same type individuals. Assume that the type …
size m from the population consists of the same type individuals. Assume that the type …
Asymptotic expansions and precise deviations in the Kingman coalescent
F Gao, Y Wang, Y Zhou - 2021 - projecteuclid.org
In this paper, we study the small-time asymptotic behavior of the Kingman coalescent. We
obtain the Berry-Esseen bound and the Edgeworth expansion in the central limit theorem …
obtain the Berry-Esseen bound and the Edgeworth expansion in the central limit theorem …
Integral representation of probabilities in Kingman coalescent
Y Zhou - arXiv preprint arXiv:1908.01474, 2019 - arxiv.org
Kingman Coalescent was first proposed by Kingman [7] in population genetics to describe
population's genealogical structure. Now it becomes a bench-mark model for coalescent …
population's genealogical structure. Now it becomes a bench-mark model for coalescent …