Siri-Jégousse, Arno and Yuan, Linglong ORCID: 0000-0002-7851-1631
(2018)
A Note on the Small-Time Behaviour of the Largest Block Size of Beta n-Coalescents.
In:
XII Symposium of Probability and Stochastic Processes.
Progress in Probability, 73
.
Springer International Publishing, pp. 219-234.
ISBN 9783319776422
Text
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Abstract
We study the largest block size of Beta n-coalescents at small times as n tends to infinity, using the paintbox construction of Beta-coalescents and the link between continuous-state branching processes and Beta-coalescents established in Birkner et al. (Electron J Probab 10(9):303–325, 2005) and Berestycki et al. (Ann Inst H Poincaré Probab Stat 44(2):214–238, 2008). As a corollary, a limit result on the largest block size at the coalescence time of the individual/block {1} is provided.
Item Type: | Book Section |
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Uncontrolled Keywords: | Beta-coalescent, Kingman’s paintbox construction, Continuous-state branching processes, Largest block size, Block-counting process |
Depositing User: | Symplectic Admin |
Date Deposited: | 20 May 2020 10:22 |
Last Modified: | 18 Jan 2023 23:56 |
DOI: | 10.1007/978-3-319-77643-9_8 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3081329 |