Limit theorems for strongly and intermediately supercritical branching processes in random environment with linear fractional offspring distributions |
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Authors: | Christian Bö inghoff |
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Affiliation: | Fachbereich Mathematik, Universität Frankfurt, Fach 187, D-60054 Frankfurt am Main, Germany |
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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. |
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Keywords: | 60J80 60K37 92D25 |
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