Title of article
On the maximum of a subcritical branching process in a random environment
Author/Authors
Afanasyev، نويسنده , , V.I.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
21
From page
87
To page
107
Abstract
Let {ξn} 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→+∞,Psupn ξn>x∼Kx−æ,where K is a positive constant.
Keywords
branching processes , Random environment
Journal title
Stochastic Processes and their Applications
Serial Year
2001
Journal title
Stochastic Processes and their Applications
Record number
1576809
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