Branching Processes with Immigration in a Random Environment -- the Grincevi\v{c}ius--Grey setup
Probability
2024-01-09 v1
Abstract
We determine the tail asymptotics of the stationary distribution of a branching process with immigration in a random environment, when the immigration distribution dominates the offspring distribution. The assumptions are the same as in the Grincevi\v{c}ius--Grey theorem for the stochastic recurrence equation.
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Cite
@article{arxiv.2401.03842,
title = {Branching Processes with Immigration in a Random Environment -- the Grincevi\v{c}ius--Grey setup},
author = {Peter Kevei},
journal= {arXiv preprint arXiv:2401.03842},
year = {2024}
}
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11 pages