John van der Hoek,
John (University of South Australia) van der Hoek,
Robert J. Elliott,
Robert J. (University of Calgary) Elliott
e.a.
Introduction to Hidden Semi-Markov Models
Paperback Engels 2018 9781108441988Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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 estimation and filtering results. Genomics applications are modelled by discrete observations of these hidden semi-Markov chains. This book contains new results and previously unpublished material not available elsewhere. The approach is rigorous and focused on applications.
Specificaties
ISBN13:9781108441988
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:184
Uitgever:Cambridge University Press
Serie:London Mathematical
Lezersrecensies
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Inhoudsopgave
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.
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