Markov Chains and Invariant Probabilities

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March 28, 2025 | History

Markov Chains and Invariant Probabilities

This book concerns discrete-time homogeneous Markov chains that admit an invariant probability measure. The main objective is to give a systematic, self-contained presentation on some key issues about the ergodic behavior of that class of Markov chains. These issues include, in particular, the various types of convergence of expected and pathwise occupation measures, and ergodic decompositions of the state space. Some of the results presented appear for the first time in book form. A distinguishing feature of the book is the emphasis on the role of expected occupation measures to study the long-run behavior of Markov chains on uncountable spaces. The intended audience are graduate students and researchers in theoretical and applied probability, operations research, engineering and economics.

Publish Date
Language
English
Pages
206

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Edition Availability
Cover of: Markov Chains and Invariant Probabilities
Markov Chains and Invariant Probabilities
2003, Birkhäuser Basel, Imprint: Birkhäuser
electronic resource / in English

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Book Details


Table of Contents

Preliminaries
Markov Chains and Ergodic Theorems
Countable Markov Chains
Harris Markov Chains
Markov Chains in Metric Spaces
Classification of Markov Chains via Occupation Measures
Feller Markov Chains
The Poisson Equation
Strong and Uniform Ergodicity
Existence of Invariant Probability Measures
Existence and Uniqueness of Fixed Points for Markov Operators
Approximation Procedures for Invariant Probability Measures.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Basel
Series
Progress in Mathematics -- 211, Progress in Mathematics -- 211

Classifications

Dewey Decimal Class
519.2
Library of Congress
QA273.A1-274.9, QA274-274.9

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xvi, 206 p.)
Number of pages
206

Edition Identifiers

Open Library
OL27072837M
ISBN 10
3034894082, 3034880243
ISBN 13
9783034894081, 9783034880244
OCLC/WorldCat
851838160

Work Identifiers

Work ID
OL19885839W

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
March 28, 2025 Edited by ImportBot Redacting ocaids
September 28, 2024 Edited by MARC Bot import existing book
February 27, 2022 Edited by ImportBot import existing book
February 26, 2022 Edited by ImportBot import existing book
July 5, 2019 Created by MARC Bot Imported from Internet Archive item record