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October 2001 A Classification of Coalescent Processes for Haploid Exchangeable Population Models
Martin Möhle, Serik Sagitov
Ann. Probab. 29(4): 1547-1562 (October 2001). DOI: 10.1214/aop/1015345761


We consider a class of haploid population models with nonoverlapping generations and fixed population size $N$ assuming that the family sizes within a generation are exchangeable random variables. A weak convergence criterion is established for a properly scaled ancestral process as $N \to \infty$. It results in a full classification of the coalescent generators in the case of exchangeable reproduction. In general the coalescent process allows for simultaneous multiple mergers of ancestral lines.


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Martin Möhle. Serik Sagitov. "A Classification of Coalescent Processes for Haploid Exchangeable Population Models." Ann. Probab. 29 (4) 1547 - 1562, October 2001.


Published: October 2001
First available in Project Euclid: 5 March 2002

zbMATH: 1013.92029
MathSciNet: MR1880231
Digital Object Identifier: 10.1214/aop/1015345761

Primary: 60J70 , 92D25
Secondary: 60F17 , 92D15

Keywords: ancestral processes , Coalescent , exchangeability , generator , neutrality , Population genetics , weak convergence

Rights: Copyright © 2001 Institute of Mathematical Statistics

Vol.29 • No. 4 • October 2001
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