Introduction

Dmitrii Silvestrov
Additional contact information
Dmitrii Silvestrov: Stockholm University, Department of Mathematics

Chapter Chapter 1 in Coupling and Ergodic Theorems for Semi-Markov-Type Processes I, 2025, pp 1-49 from Springer

Abstract: Abstract The chapter is an introduction to the book devoted to studying ergodic theorems with explicit power and exponential upper bounds for convergence rates for Markov chains, renewal, and regenerative processes obtained using the coupling method and the method of test functions. It informally presents the main problems, methods, and algorithms that comprise the book’s contents, gives simple examples illustrated by 15 figures, and tries to show the logic and ideas underlying the coupling method and the method of test functions and their applications for obtaining ergodic theorems with explicit upper bounds for convergence rates for Markov chains, renewal, and regenerative processes, as well as to explain the meaning of the results presented in the book.

Date: 2025
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-89311-7_1

Ordering information: This item can be ordered from
http://www.springer.com/9783031893117

DOI: 10.1007/978-3-031-89311-7_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().