文章基本信息

标题：A strong law of large numbers for branching processes: almost sure spine events
本地全文：下载
作者：Harris, Simon C ; Roberts, Matthew I
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2014
卷号：19
页码：1-6
DOI：10.1214/ECP.v19-2641
语种：English
出版社：Electronic Communications in Probability
摘要：We demonstrate a novel strong law of large numbers for branching processes, with a simple proof via measure-theoretic manipulations and spine theory. Roughly speaking, any sequence of events that eventually occurs almost surely for the spine entails the almost sure convergence of a certain sum over particles in the population.
关键词：branching processes, spines, martingales, strong law;60J80