Large deviation for supercritical branching processes with immigration

被引：19

作者：

Liu, Jing Ning ^{[1
]}

Zhang, Mei ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 08期

关键词：

Supercritical; branching processes; large deviation; immigration; GALTON-WATSON PROCESS; RATES;

D O I：

10.1007/s10114-016-5437-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：893 / 900

页数：8

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