Abstract
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 $0<\alpha<1$.
Citation
Alexander Gnedin. Yuri Yakubovich. "On the Number of Collisions in $\Lambda$-Coalescents." Electron. J. Probab. 12 1547 - 1567, 2007. https://doi.org/10.1214/EJP.v12-464
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