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 branchin...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.展开更多
We get an explicit and recursive representation for high order moments of integral-type downward functionals for single death processes.Meanwhile,main results are applied to more general integral-type downward functio...We get an explicit and recursive representation for high order moments of integral-type downward functionals for single death processes.Meanwhile,main results are applied to more general integral-type downward functionals.展开更多
文摘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.
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.11571043,11771047,11871008).
文摘We get an explicit and recursive representation for high order moments of integral-type downward functionals for single death processes.Meanwhile,main results are applied to more general integral-type downward functionals.
