We examine the total number of collisions $C_n$ in the $\Lambda$-coalescent process which starts with $n$ particles. A linear growth and a stable limit law for $C_n$ are shown under the assumption of a power-like behaviour of the measure $\Lambda$ near $0$ with exponent $0<\alpha<1$.
Electron. J. Probab.
12:
1547-1567
(2007).
DOI: 10.1214/EJP.v12-464