Scholarlink

In Chap. 10.1007/978-3-031-89311-7_4 , we present ergodic theorems with explicit exponential upper bounds for convergence rates for discrete-time, homogeneous Markov chains with general state spaces. The coefficients of ergodicity, which play a key role in ergodic theorems, are introduced, and the corresponding maximal coupling constructions are described. Ergodic theorems with exponential upper bounds for convergence rates for general Markov chains are obtained using the coupling method. Modifications of these ergodic theorems for Markov chains with transition distribution possessing absolutely continuous components are also given.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Coupling and Ergodic Theorems for General Markov Chains

  • 章节

  • 发表日期：

    2025年

查看全文
  • Dmitrii Silvestrov

摘要

In Chap. 10.1007/978-3-031-89311-7_4 , we present ergodic theorems with explicit exponential upper bounds for convergence rates for discrete-time, homogeneous Markov chains with general state spaces. The coefficients of ergodicity, which play a key role in ergodic theorems, are introduced, and the corresponding maximal coupling constructions are described. Ergodic theorems with exponential upper bounds for convergence rates for general Markov chains are obtained using the coupling method. Modifications of these ergodic theorems for Markov chains with transition distribution possessing absolutely continuous components are also given.