Path to survival for the critical branching processes in a random environment
نویسندگان
چکیده
منابع مشابه
Path to survival for the critical branching processes in a random environment
A critical branching process {Z k , k = 0, 1, 2, ...} in a random environment is considered. A conditional functional limit theorem for the properly scaled process {log Zpu, 0 ≤ u < ∞} is established under the assumptions Zn > 0 and p ≪ n. It is shown that the limiting process is a Levy process conditioned to stay nonnegative. The proof of this result is based on a limit theorem describing the ...
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ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2017
ISSN: 0021-9002,1475-6072
DOI: 10.1017/jpr.2017.19