2 citations · 2 across the 4 of their papers we have counts for
6 papers
Asymptotics of the frequency spectrum for general Dirichlet Xi-coalescents
Adrian Gonzalez Casanova, Veronica Miro Pina, Emmanuel Schertzer +1
In this work, we study general Dirichlet coalescents, which are a family of Xi-coalecents constructed from i.i.d mass partitions, and are an extension of the symmetric coalescent.…
Phase-type distributions in population genetics
Asger Hobolth, Arno Siri-Jégousse, Mogens Bladt
Probability modelling for DNA sequence evolution is well established and provides a rich framework for understanding genetic variation between samples of individuals from one or mo…
Asymptotics of the minimal clade size and related functionals of certain beta-coalescents
Arno Siri-Jégousse, Linglong Yuan
This article shows the asymptotics of distributions of various functionals of the Beta -coalescent process with when goes to infinity. This process is a Mar…
Minimal clade size in the Bolthausen-Sznitman coalescent
Fabian Freund, Arno Siri-Jégousse
This article shows the asymptotics of distribution and moments of the size of the minimal clade of a randomly chosen individual in a Bolthausen-Sznitman -coalescent for $n…
On the length of an external branch in the Beta-coalescent
Jean-Stephane Dhersin, Fabian Freund, Arno Siri-Jegousse +1
In this paper, we consider Beta (with ) and related -coalescents. If denotes the length of an external branch of the -coalescent, we prove the conve…
Asymptotic results on the length of coalescent trees
Jean-François Delmas, Jean-Stéphane Dhersin, Arno Siri-Jegousse
We give the asymptotic distribution of the length of partial coalescent trees for Beta and related coalescents. This allows us to give the asymptotic distribution of the number of…