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Markov chains and stochastic stability

Author: S P Meyn; R L Tweedie
Publisher: London ; New York : Springer-Verlag, ©1993.
Series: Communications and control engineering series.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This monograph discusses the action of Markov chains on general state spaces. It explores theories and usage, particularly in the areas of engineering, operations research and control theory. The  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S P Meyn; R L Tweedie
ISBN: 0387198326 9780387198323 3540198326 9783540198321
OCLC Number: 28926658
Description: xvi, 548 pages : illustrations ; 24 cm.
Contents: I. Communication and Regeneration. 1. Heuristics. 2. Markov Models. 3. Transition Probabilities. 4. Irreducibility. 5. Pseudo-atoms. 6. Topology and Continuity. 7. The Nonlinear State Space Model --
II. Stability Structures. 8. Transience and Recurrence. 9. Harris and Topological Recurrence. 10. The Existence of [pi]. 11. Drift and Regularity. 12. Invariance and Tightness --
III. Convergence. 13. Ergodicity. 14. f-Ergodicity and f-Regularity. 15. Geometric Ergodicity. 16. V-Uniform Ergodicity. 17. Sample Paths and Limit Theorems. 18. Positivity. 19. Generalized Classification Criteria --
IV. Appendices. A. Mud Maps. B. Testing for Stability. C.A Glossary of Model Assumptions. D. Some Mathematical Background.
Series Title: Communications and control engineering series.
Responsibility: S.P. Meyn and R.L. Tweedie.

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