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On supercritical branching processes with emigration
Published online by Cambridge University Press: 08 July 2022
Abstract
We study supercritical branching processes under the influence of an independent and identically distributed (i.i.d.) emigration component. We provide conditions under which the lifetime of the process is finite or has a finite expectation. A theorem of Kesten–Stigum type 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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- © The Author(s), 2022. Published by Cambridge University Press on behalf of Applied Probability Trust