Asymptotic results on the length of coalescent trees

• 成果类型: Article
• 署名作者: Delmas, Jean-Francois; Dhersin, Jean-Stephane; Siri-Jegousse, Arno
• 署名单位: Institut Polytechnique de Paris; Ecole Nationale des Ponts et Chaussees; Universite Paris Cite
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/07-AAP476
• 发表日期: 2008
• 页码: 997-1025
• 关键词: segregating sites; beta-coalescents; number; populations

摘要

We give the asymptotic distribution of the length of partial coalescent trees for Beta and related coalescents. This allows us to give the asymptotic distribution of the number of (neutral) mutations in the partial tree. This is a first step to study the asymptotic distribution of a natural estimator of DNA mutation rate for species with large families.