Critical Branching Regenerative Processes with Migration

George P. Yanev; Kosto V. Mitov; Nickolay M. Yanev

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Critical Branching Regenerative Processes with Migration

George P. Yanev·Kosto V. Mitov·Nickolay M. Yanev

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Abstract

This paper demonstrates a new regeneration processes technology making use of positive stable distributions. We study the asymptotic behavior of branching processes with a randomly controlled migration component. Using the new method, we confirm some known results and establish new limit theorems that hold in a more general setting.

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George P. Yanev, Kosto V. Mitov, Nickolay M. Yanev. 2006-02-12. Critical Branching Regenerative Processes with Migration. https://arxiv.org/abs/math/0602261

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