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

Christian Böinghoff

Stochastic Processes and their Applications, 2014, vol. 124, issue 11, 3553-3577

Abstract: 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.

Keywords: Branching process in random environment; Supercritical; Conditional limit theorem (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:124:y:2014:i:11:p:3553-3577

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DOI: 10.1016/j.spa.2014.05.009

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