Markov chains and stochastic stability
著者
書誌事項
Markov chains and stochastic stability
（Communications and control engineering）
Springer, 1996, c1993
- : Berlin
- : New York
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注記
Includes bibliographical references (p. [528]-541) and indexes
"3rd printing 1996"--T.p. verso
内容説明・目次
内容説明
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.
目次
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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