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Vatutin, Vladimir; Liu, Quansheng

Limit theorems for decomposable branching processes in a random environment. (English) Zbl 1326.60144

J. Appl. Probab. 52, No. 3, 877-893 (2015).
Summary: 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.

Cited in 3 Documents

MSC:

60K37 Processes in random environments
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
60F17 Functional limit theorems; invariance principles
60J85 Applications of branching processes

Keywords:

decomposable branching processes; random environment; limit theorems; survival probability
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\textit{V. Vatutin} and \textit{Q. Liu}, J. Appl. Probab. 52, No. 3, 877--893 (2015; Zbl 1326.60144)
Full Text: DOI arXiv Euclid
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References:

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