Linglong Yuan

activity

20122023

most citedAsympotic behavior of the total length of external branches for Beta-coalescents

8 citations · 25 across the 15 of their papers we have counts for

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2 papers · 1 filter

math.PR2012★ 8 cited

Asympotic behavior of the total length of external branches for Beta-coalescents

Jean-Stephane Dhersin, Linglong Yuan

We consider a $Λ$ -coalescent and we study the asymptotic behavior of the total length $L_{e x t}^{(n)}$ of the external branches of the associated $n$ -coalescent. For Kingman coalesc…

math.PR2012

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 $(2 - α, α)$ (with $1 < α < 2$ ) and related $Λ$ -coalescents. If $T^{(n)}$ denotes the length of an external branch of the $n$ -coalescent, we prove the conve…