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2014 A strong law of large numbers for branching processes: almost sure spine events
Simon Harris, Matthew Roberts
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Electron. Commun. Probab. 19: 1-6 (2014). DOI: 10.1214/ECP.v19-2641

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.

Citation

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Simon Harris. Matthew Roberts. "A strong law of large numbers for branching processes: almost sure spine events." Electron. Commun. Probab. 19 1 - 6, 2014. https://doi.org/10.1214/ECP.v19-2641

Information

Accepted: 8 May 2014; Published: 2014
First available in Project Euclid: 7 June 2016

zbMATH: 1312.60022
MathSciNet: MR3208326
Digital Object Identifier: 10.1214/ECP.v19-2641

Subjects:
Primary: 60J80

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