Introduction to hidden semi-Markov models/ Hoek, John van der & Elliot, Robert J
Series: London Mathematical Society Lecture Note Series ; 445Publication details: UK: CUP, 2018Description: x, 174 pages, 23 cmISBN:- 9781108441988
- 23 519.233 H693
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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Books | ISI Library, Kolkata NBHM Collection | 519.233 H693 (Browse shelf(Opens below)) | Available | 138633 |
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519.233 G478 Markov processes | 519.233 H283 Continuous semi-Markov processes | 519.233 H557 Markov chains and invariant probabilities | 519.233 H693 Introduction to hidden semi-Markov models/ | 519.233 H835 Homogeneous denumerable markov processes | 519.233 L734 Semi-Markov processes and reliability | 519.233 P839 Brownian motion and classical potential theory |
ncludes bibliography and index
Observed Markov Chains -- Estimation of an observed Markov chain -- Hidden Markov models -- Filters and smoothers -- The Viterbi algorithm -- The EM algorithm -- A New Markov chain model -- Semi-Markov models -- Hidden semi-Markov models -- Filters for hidden semi-Markov models
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 This book contains new results and previously unpublished material not available elsewhere.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.
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