Abstract
We study the asymptotics of the survival probability for the critical and decomposable branching processes in a random environment and prove Yaglom-type limit theorems for these processes. It is shown that such processes possess some properties having no analogues for the decomposable branching processes in a constant environment.
Citation
Vladimir Vatutin. Quansheng Liu. "Limit theorems for decomposable branching processes in a random environment." J. Appl. Probab. 52 (3) 877 - 893, September 2015. https://doi.org/10.1239/jap/1445543853
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