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arXiv · 2008.05178

On Supercritical Branching Processes with Emigration

Georg Braun
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Abstract

We study supercritical branching processes under the influence of an i.i.d. emigration component. We provide conditions, under which the lifetime of the process is finite respectively has a finite expectation. A new version of the Kesten-Stigum theorem is obtained and the extinction probability for a large initial population size is related to the tail behaviour of the emigration.

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Georg Braun. 2020-08-12. On Supercritical Branching Processes with Emigration. https://arxiv.org/abs/2008.05178

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