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Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment

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Abstract

Intermediately subcritical branching processes in random environment are at the borderline between two subcritical regimes and exhibit particularly rich behavior. In this paper, we prove a functional limit theorem for these processes. It is discussed together with two other recently proved limit theorems for the intermediately subcritical case and illustrated by several computer simulations.

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Authors and Affiliations

  1. Fachbereich Mathematik, Goethe-Universität, Fach 187, D-60054, Frankfurt am Main, Germany

    Christian Böinghoff & Götz Kersting

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  1. Christian Böinghoff
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  2. Götz Kersting
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Correspondence to Christian Böinghoff.

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Böinghoff, C., Kersting, G. Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment. Proc. Steklov Inst. Math. 282, 45–61 (2013). https://doi.org/10.1134/S0081543813060059

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  • DOI: https://doi.org/10.1134/S0081543813060059

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