Markov Chains : a primer in random processes and their applications
著者
書誌事項
Markov Chains : a primer in random processes and their applications
（Probability and statistics by example / Y. Suhov, M. Kelbert, 2）
Cambridge University Press, 2008
- : hbk
- : pbk
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注記
Bibliography: p. 483-484
Includes index
内容説明・目次
内容説明
Probability and Statistics are as much about intuition and problem solving as they are about theorem proving. Because of this, students can find it very difficult to make a successful transition from lectures to examinations to practice, since the problems involved can vary so much in nature. Since the subject is critical in many modern applications such as mathematical finance, quantitative management, telecommunications, signal processing, bioinformatics, as well as traditional ones such as insurance, social science andengineering, the authors have rectified deficiencies in traditional lecture-based methods by collecting together a wealth of exercises with complete solutions, adapted to needs and skills of students. Following on from the success of Probability and Statistics by Example: Basic Probability and Statistics, the authors here concentrate on random processes, particularly Markov processes, emphasising modelsrather than general constructions. Basic mathematical facts are supplied as and when they are needed andhistorical information is sprinkled throughout.
目次
- Preface
- Introduction: Andrei Markov and his time
- 1. Discrete-time Markov chains
- 2. Continuous-time Markov chains: basic theory
- 3. Statistics of discrete-time Markov chains
- Afterword: Pearson, Maxwell and other famous Cambridge Wranglers of the past: some lessons to be learned
- Bibliography
- Appendix
- Index.
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