Correction to a proposition related to ergodicity of Markov chains

被引：0

作者：

Ziqi Tan

Xianping Guo

机构：

[1] Sun Yat-sen University,School of Mathematics and Guangdong Province Key Laboratory of Computational Science

来源：

Frontiers of Mathematics in China | 2021年 / 16卷

关键词：

Markov chain; split chain; petite set; minorization condition; 60J05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Proposition 5.5.6 (ii) in the book Markov Chains and Stochastic Stability (2nd ed, Cambridge Univ. Press, 2009) has been used in the proof of a theorem about ergodicity of Markov chains. Unfortunately, an example in this paper shows that this proposition is not always true. Thus, a correction of this proposition is provided.

引用

页码：801 / 813

页数：12

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