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Branching Processes with Immigration in a Random Environment - the Grincevičius-Grey setup

Kevei, Péter (2024) Branching Processes with Immigration in a Random Environment - the Grincevičius-Grey setup. STATISTICS AND PROBABILITY LETTERS, 214. No.-110199. ISSN 0167-7152

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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 Grincevičius–Grey theorem for the stochastic recurrence equation.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Depositing User: Peter Kevei
Date Deposited: 07 Sep 2024 07:03
Last Modified: 07 Sep 2024 07:03
URI: https://real.mtak.hu/id/eprint/204437

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