A classification of coalescent processes for haploid exchangeable population models
成果类型：
Article
署名作者：
Möhle, M; Sagitov, S
署名单位：
Johannes Gutenberg University of Mainz; Chalmers University of Technology; University of Gothenburg
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
2001
页码：
1547-1562
关键词：
摘要：
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 --> infinity. 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.