Critical Branching Regenerative Processes with Migration
George P. Yanev, Kosto V. Mitov, Nickolay M. Yanev
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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