We study tree lengths in $\Lambda$-coalescents without a dust component from a sample of $n$ individuals. For the total lengths of all branches and the total lengths of all external branches we… Expand

$\Lambda$-coalescents model genealogies of samples of individuals from a large population by means of a family tree whose branches have lengths. The tree's leaves represent the individuals, and the… Expand

Λ -coalescents model genealogies of samples of individuals from a large population by means of a family tree. The tree’s leaves represent the individuals, and the lengths of the adjacent edges… Expand

We consider Beta$(2-\alpha, \alpha)-n$-coalescents with parameter range $1 <\alpha<2$. The length $\ell^{(n)}_r$ of order $r$ in the Beta$(2-\alpha, \alpha)-n$-coalescent tree is defined as the sum… Expand

We consider Beta(2− α, α)-coalescents with parameter range 1 < α < 2 starting from n leaves. The length l (n) r of order r in the n-Beta(2 − α, α)-coalescent tree is defined as the sum of the lengths… Expand