一类单死过程的遍历性

Ergodicity of a Class of Single Death Processes

本文通过与生灭过程击中时矩的比较和随机可比的方法分别得出有限生单死过程各种遍历性的充分条件和必要条件.文末,讨论了一个例子的各种遍历性.

In this paper, we consider the single death processes which go out of reversed Markov context. By comparing with the moments of hitting time of birth-death processes and stochastic compara- bility, some sufficient conditions and necessary conditions are obtained for some kinds of ergodicity of the single death processes respectively. Finally, one example are given to illustrate the results.