Strong ergodicity for single-birth processes

被引：34
|
作者：
Zhang, YH [1 ]
机构：
[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
来源：
JOURNAL OF APPLIED PROBABILITY | 2001年 / 38卷 / 01期
关键词：
strongly ergodic; single-birth Q-process; Schlogl model;
D O I：
10.1017/S0021900200018696
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
An explicit and computable criterion for strong ergodicity of single-birth processes is presented. As an application, some sufficient conditions are obtained for strong ergodicity of an extended class of continuous-time branching processes and multi-dimensional Q-processes by comparison methods respectively. Consequently strong ergodicity of the Q-process corresponding to the finite-dimensional Schlogl model is proven.
引用
收藏
页码：270 / 277
页数：8
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