On the maximum of a subcritical branching process in a random environment

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:93

Article

Afanasyev, VI

关键词: branching processes;    random environment;   

DOI  :  10.1016/S0304-4149(00)00084-3

来源: Elsevier

【 摘 要 】

Let (xi (n)) be a subcritical branching process in random environment with independent identically distributed generating functions f(n)(s). It is shown that if there exists a positive number ae such that E(f'(o)(1)) = 1 then, for x --> +infinity, [GRAPHICS] where K is a positive constant. (C) 2001 Elsevier Science B.V. All rights reserved.

【 授权许可】

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