Large deviation for supercritical branching processes with immigration

被引：0
作者：
Jing Ning Liu
Mei Zhang
机构：
[1] Beijing Normal University,School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems
来源：
Acta Mathematica Sinica, English Series | 2016年 / 32卷
关键词：
Supercritical; branching processes; large deviation; immigration; 60J80; 60G57; 60J35;
D O I：
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中图分类号：
学科分类号：
摘要：
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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页码：893 / 900
页数：7
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