A strong law of large numbers for branching processes: almost sure spine events

Simon C Harris, Matthew I Roberts

Research output: Contribution to journalArticle

6 Citations (Scopus)
122 Downloads (Pure)

Abstract

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.
Original languageEnglish
Article number28
Pages (from-to)1-6
Number of pages6
JournalElectronic Communications in Probability
Volume19
DOIs
Publication statusPublished - 8 May 2014

Keywords

  • Branching processes
  • Strong law of large numbers
  • Spine

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