Criteria on ergodicity and strong ergodicity of single death processes

被引：0

作者：

Yuhui Zhang

机构：

[1] Beijing Normal University,School of Mathematical Sciences

[2] Laboratory of Mathematics and Complex Systems,undefined

[3] Ministry of Education,undefined

来源：

Frontiers of Mathematics in China | 2018年 / 13卷

关键词：

Single death process; ergodicity; strong ergodicity; recurrence; moments of hitting times; 60J60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Based on an explicit representation of moments of hitting times for single death processes, the criteria on ergodicity and strong ergodicity are obtained. These results can be applied for an extended class of branching processes. Meanwhile, some sufficient and necessary conditions for recurrence and exponential ergodicity as well as extinction probability for the processes are presented.

引用

页码：1215 / 1243

页数：28

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