On the number of collisions in beta(2, $b$)-coalescents

Alex Iksanov, Alex Marynych, Martin Möhle

Expansions are provided for the moments of the number of collisions $X_n$ in the $\beta (2,b)$-coalescent restricted to the set $\{1,...,n\}$. We verify that $X_n/\mathbb{E}{X}_n$ converg…