Harmonic moments and large deviations for supercritical branching processes with immigration

被引：0

作者：

Qi Sun

Mei Zhang

机构：

[1] Beijing Normal University,School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems

来源：

Frontiers of Mathematics in China | 2017年 / 12卷

关键词：

Supercritical; branching processes; harmonic moments; large deviations; immigration; 60J80; 60F10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the convergence rates of the harmonic moments for supercritical branching processes with immigration Zn, extending the previous results for non-immigration cases in literature. As a by-product, the large deviations for Zn+1/Zn are also studied. We can see that there is a phase transition in converging rates depending on the generating functions of both branching and immigration.

引用

页码：1201 / 1220

页数：19

共 11 条

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[10]

Pakes A G(undefined)undefined undefined undefined undefined-undefined

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