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

页码：270 / 277

页数：8

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