Scholarlink

In Chap. 10 , we consider an infinite family of regenerative processes and present ergodic theorems with explicit power and exponential upper bounds for rates of convergence uniform with respect to this family. We present uniform ergodic theorems for the regenerative processes based on the first and second moments of regeneration times. Then, we present uniform ergodic theorems for the regenerative processes based on the high-order power moments for regeneration times. Finally, we present uniform ergodic theorems for the regenerative processes based on exponential moments for regeneration times.

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

Uniform Ergodic Theorems for Regenerative Processes

  • 章节

  • 发表日期：

    2025年

查看全文
  • Dmitrii Silvestrov

摘要

In Chap. 10 , we consider an infinite family of regenerative processes and present ergodic theorems with explicit power and exponential upper bounds for rates of convergence uniform with respect to this family. We present uniform ergodic theorems for the regenerative processes based on the first and second moments of regeneration times. Then, we present uniform ergodic theorems for the regenerative processes based on the high-order power moments for regeneration times. Finally, we present uniform ergodic theorems for the regenerative processes based on exponential moments for regeneration times.