一类单死过程的遍历性  

Ergodicity of a Class of Single Death Processes

作　　者：张丽华[1] 张余辉[2] 

机构地区：[1]北京邮电大学理学院,北京100876 [2]北京师范大学数学科学学院,北京100875

出　　处：《应用概率统计》2007年第4期377-383,共7页Chinese Journal of Applied Probability and Statistics

基　　金：973项目;国家自然科学基金(批准号:10121101;10025105和10101003);教育部博士点基金(批准号:20010027007和20040027009)资助项目.

摘　　要：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.

关 键 词：单死过程 遍历性 生灭过程 

分 类 号：O211.6[理学—概率论与数理统计]