Criteria on ergodicity and strong ergodicity of single death processes

doi:10.1007/s11464-018-0722-z

Front. Math. China

2018, Vol. 13

Issue (5) : 1215-1243 https://doi.org/10.1007/s11464-018-0722-z

RESEARCH ARTICLE

Criteria on ergodicity and strong ergodicity of single death processes

Yuhui ZHANG(

)

School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

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Abstract

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.

Keywords Single death process ergodicity strong ergodicity recurrence moments of hitting times

Corresponding Author(s): Yuhui ZHANG

Issue Date: 29 October 2018

Cite this article:

Yuhui ZHANG. Criteria on ergodicity and strong ergodicity of single death processes[J]. Front. Math. China, 2018, 13(5): 1215-1243.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-018-0722-z
https://academic.hep.com.cn/fmc/EN/Y2018/V13/I5/1215

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