Limit Theorems for Critical Galton-Watson Processes with Immigration Stopped at Zero

被引：0

作者：

Dou Dou Li

Mei Zhang

Xian Yu Zhang

机构：

[1] Beijing University of Technology,College of Statistics and Data Science, Faculty of Science

[2] Beijing Normal University,Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences

来源：

Acta Mathematica Sinica, English Series | 2024年 / 40卷

关键词：

Branching; immigration; critical; life period; limit theorems; 60J80; 60F10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider a critical Galton–Watson branching process with immigration stopped at zero W. Some precise estimation on the probability generating function of the n-th population are obtained, and the tail probability of the life period of W is studied. Based on above results, two conditional limit theorems for W are established.

引用

页码：435 / 450

页数：15

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