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arXiv · 2401.03842

Branching Processes with Immigration in a Random Environment -- the Grincevi\v{c}ius--Grey setup

Peter Kevei
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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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Peter Kevei. 2024-01-08. Branching Processes with Immigration in a Random Environment -- the Grincevi\v{c}ius--Grey setup. https://arxiv.org/abs/2401.03842

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