Markov chains and stochastic stability
Author(s)
Bibliographic Information
Markov chains and stochastic stability
（Communications and control engineering）
Springer, c1993
- : Berlin
- : New York
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Available at / 43 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: New York519.233/M5772070403918
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Note
Includes bibliographical references (p. [528]-540) and index
Description and Table of Contents
Description
The area of Markov chain theory and application has matured over the past 20 years. This publication deals with the action of Markov chains on general state spaces. It discusses the theories and the use to be gained, concentrating on the areas of engineering, operations research and control theory. Throughout, the theme of stochastic stability and the search for practical methods of verifying such stability, provide a new and powerful technique which not only affects applications, but also the development of the theory itself. The impact of the theory on specific models is discussed in detail.
Table of Contents
Contents: Communication and Regeneration: Heuristics.- Markov Models.- Transition Probabilities.- Irreducibility.- Pseudo-atoms.- Topology and Continuity.- Nonlinear State Space Model.- Stability Structures: Transience and Recurrence.- Harris and Topological Recurrence.- The Existence of +.- Drift and Regularity.- Invariance and Tightness. Convergence: Ergodicity.- f-Ergodicity and f-Regularity.- Geometric Ergodicity.- V-Uniform Ergodicity.- Sample Paths and Limit Theorems.- Positivity.- Generalised Classification Criteria. Appendices: Mud Maps.- Testing for Stability.- Glossary of Model Assumptions.- Mathematical Background.
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