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Extinction of branching processes in varying environments. (English) Zbl 1171.60378
Summary: Let $$q$$ be the extinction probability and $$\tau _{0}$$ be the extinction time of a Galton-Watson branching process in varying environments. In this paper, some useful upper and lower bounds of $$q$$ and $$E\tau _{0}$$ are estimated respectively.

##### MSC:
 60J80 Branching processes (Galton-Watson, birth-and-death, etc.) 60K37 Processes in random environments 60E15 Inequalities; stochastic orderings
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##### References:
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