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On the number of collisions in Λ-coalescents (2007)
by
Alexander Gnedin
,
Yuri Yakubovich
| Venue: | ELECTRON. J. PROBAB |
| Citations: | 15 - 1 self |
BibTeX
@ARTICLE{Gnedin07onthe,
author = {Alexander Gnedin and Yuri Yakubovich},
title = {On the number of collisions in Λ-coalescents},
journal = {ELECTRON. J. PROBAB},
year = {2007},
pages = {1547--1567}
}
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Abstract
We examine the total number of collisions Cn in the Λ-coalescent process which starts with n particles. A linear growth and a stable limit law for Cn are shown under the assumption of a power-like behaviour of the measure Λ near 0 with exponent 0 < α < 1.
