On Supercritical Branching Processes with Emigration
Probability
2020-08-13 v1
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.
Cite
@article{arxiv.2008.05178,
title = {On Supercritical Branching Processes with Emigration},
author = {Georg Braun},
journal= {arXiv preprint arXiv:2008.05178},
year = {2020}
}
Comments
23 pages