文章基本信息

标题：Asymptotic expansions and precise deviations in the Kingman coalescent
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作者：Fuqing Gao ; Yujing Wang ; Youzhou Zhou 等
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2021
卷号：26
页码：1-11
DOI：10.1214/21-ECP375
语种：English
出版社：Electronic Communications in Probability
摘要：In this paper, we study the small-time asymptotic behavior of the Kingman coalescent. We obtain the Berry-Esseen bound and the Edgeworth expansion in the central limit theorem. Moreover, by the method of mod-ϕ convergence, we also obtain the precise large deviations and the precise moderate deviations. Last, we also obtain a non-asymptotic deviation inequality for the Kingman coalescent.
关键词：60C05; 60F10; Berry-Esseen bound; Edgeworth expansion; Kingman coalescent; mod-ϕ convergence; precise deviations