Limit theorems for strongly and intermediately supercritical branching processes in random environment with linear fractional offspring distributions

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:124

Article

Boeinghoff, Christian

关键词: Branching process in random environment;    Supercritical;    Conditional limit theorem;   

DOI  :  10.1016/j.spa.2014.05.009

来源: Elsevier

【 摘 要 】

In the present paper, we characterize the behavior of supercritical branching processes in random environment with linear fractional offspring distributions, conditioned on having small, but positive values at some large generation. As it has been noticed in previous works, there is a phase transition in the behavior of the process. Here, we examine the strongly and intermediately supercritical regimes The main result is a conditional limit theorem for the rescaled associated random walk in the intermediately case. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

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