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  • 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
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