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Large deviation for supercritical branching processes with immigration

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Abstract

In this paper, we study the large deviation for a supercritical branching process with immigration controlled by a sequence of non-negative integer-valued independently identical distributed random variables, improving the previous results for non immigration processes. We rely heavily on the detail description and limit property of the generating function of immigration processes.

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Authors and Affiliations

  1. School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing, 100875, P. R. China

    Jing Ning Liu & Mei Zhang

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  1. Jing Ning Liu
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  2. Mei Zhang
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Correspondence to Jing Ning Liu.

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Supported by NSFC (Grant No. 11371061)

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Liu, J.N., Zhang, M. Large deviation for supercritical branching processes with immigration. Acta. Math. Sin.-English Ser. 32, 893–900 (2016). https://doi.org/10.1007/s10114-016-5437-z

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  • DOI: https://doi.org/10.1007/s10114-016-5437-z

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