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Introduction to hidden semi-Markov models

Author: John Van der Hoek; Robert J Elliott
Publisher: Cambridge, United Kingdom ; New York : Cambridge University Press, 2018.
Series: London Mathematical Society lecture note series, 445.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Markov chains and hidden Markov chains have applications in many areas of engineering and genomics. This book provides a basic introduction to the subject by first developing the theory of Markov processes in an elementary discrete time, finite state framework suitable for senior undergraduates and graduates. The authors then introduce semi-Markov chains and hidden semi-Markov chains, before developing related  Read more...
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Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John Van der Hoek; Robert J Elliott
ISBN: 1108377424 9781108377423
OCLC Number: 1023532400
Description: 1 online resource.
Contents: Preface; 1. Observed Markov chains; 2. Estimation of an observed Markov chain; 3. Hidden Markov models; 4. Filters and smoothers; 5. The Viterbi algorithm; 6. The EM algorithm; 7. A new Markov chain model; 8. Semi-Markov models; 9. Hidden semi-Markov models; 10. Filters for hidden semi-Markov models; Appendix A. Higher order chains; Appendix B. An example of a second order chain; Appendix C. A conditional Bayes theorem; Appendix D. On conditional expectations; Appendix E. Some molecular biology; Appendix F. Earlier applications of hidden Markov chain models; References; Index.
Series Title: London Mathematical Society lecture note series, 445.
Responsibility: John van der Hoek (University of South Australia), Robert J. Elliott (University of Calgary).

Abstract:

Markov chains and hidden Markov chains have applications in many areas of engineering and genomics. This book provides a basic introduction to the subject, developing the theory of Markov and  Read more...

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