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2007 On the Number of Collisions in $\Lambda$-Coalescents
Alexander Gnedin, Yuri Yakubovich
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Electron. J. Probab. 12: 1547-1567 (2007). DOI: 10.1214/EJP.v12-464


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 $0<\alpha<1$.


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Alexander Gnedin. Yuri Yakubovich. "On the Number of Collisions in $\Lambda$-Coalescents." Electron. J. Probab. 12 1547 - 1567, 2007.


Accepted: 4 December 2007; Published: 2007
First available in Project Euclid: 1 June 2016

zbMATH: 1190.60061
MathSciNet: MR2365877
Digital Object Identifier: 10.1214/EJP.v12-464

Primary: 60J10
Secondary: 60K15

Keywords: Collisions , Lambda-coalescent , Stable limit

Vol.12 • 2007
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