On the maximum of a subcritical branching process in a random environment
Let {[xi]n} be a subcritical branching process in random environment with independent identically distributed generating functions fn(s). It is shown that if there exists a positive number æ such that E(f0'(1))æ=1 then, for x-->+[infinity],where K is a positive constant.
Year of publication: |
2001
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Authors: | Afanasyev, V. I. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 93.2001, 1, p. 87-107
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Publisher: |
Elsevier |
Subject: | Branching processes Random environment |
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