Frontiers of Mathematics in China >
Criteria on ergodicity and strong ergodicity of single death processes
Received date: 29 Jun 2018
Accepted date: 05 Aug 2018
Published date: 29 Oct 2018
Copyright
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.
Yuhui ZHANG . Criteria on ergodicity and strong ergodicity of single death processes[J]. Frontiers of Mathematics in China, 2018 , 13(5) : 1215 -1243 . DOI: 10.1007/s11464-018-0722-z
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