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Auteur Tobias Rydén |
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Inference in hidden Markov models / Olivier Cappé (2005)
Titre : Inference in hidden Markov models Type de document : livre Auteurs : Olivier Cappé, Auteur ; Eric Moulines, Auteur ; Tobias Rydén, Auteur Editeur : New York : Springer Année de publication : 2005 Collection : Springer series in statistics Importance : 652 p. ISBN/ISSN/EAN : 978-0-387-40264-2 Note générale : ISBN-10 : 0-387-40264-0; DOI:10.1007/0-387-28982-8 Langues : Anglais (eng) Mots-clés : ALGORITHME Modèle Méthode statistique Résumé : Le site éditeur indique : Hidden Markov models have become a widely used class of statistical models with applications in diverse areas such as communications engineering, bioinformatics, finance and many more. This book is a comprehensive treatment of inference for hidden Markov models, including both algorithms and statistical theory. Topics range from filtering and smoothing of the hidden Markov chain to parameter estimation, Bayesian methods and estimation of the number of states.
In a unified way the book covers both models with finite state spaces, which allow for exact algorithms for filtering, estimation etc. and models with continuous state spaces (also called state-space models) requiring approximate simulation-based algorithms that are also described in detail. Simulation in hidden Markov models is addressed in five different chapters that cover both Markov chain Monte Carlo and sequential Monte Carlo approaches. Many examples illustrate the algorithms and theory. The book also carefully treats Gaussian linear state-space models and their extensions and it contains a chapter on general Markov chain theory and probabilistic aspects of hidden Markov models.
This volume will suit anybody with an interest in inference for stochastic processes, and it will be useful for researchers and practitioners in areas such as statistics, signal processing, communications engineering, control theory, econometrics, finance and more. The algorithmic parts of the book do not require an advanced mathematical background, while the more theoretical parts require knowledge of probability theory at the measure-theoretical level.Inference in hidden Markov models [livre] / Olivier Cappé, Auteur ; Eric Moulines, Auteur ; Tobias Rydén, Auteur . - New York : Springer, 2005 . - 652 p.. - (Springer series in statistics) .
ISBN : 978-0-387-40264-2
ISBN-10 : 0-387-40264-0; DOI:10.1007/0-387-28982-8
Langues : Anglais (eng)
Mots-clés : ALGORITHME Modèle Méthode statistique Résumé : Le site éditeur indique : Hidden Markov models have become a widely used class of statistical models with applications in diverse areas such as communications engineering, bioinformatics, finance and many more. This book is a comprehensive treatment of inference for hidden Markov models, including both algorithms and statistical theory. Topics range from filtering and smoothing of the hidden Markov chain to parameter estimation, Bayesian methods and estimation of the number of states.
In a unified way the book covers both models with finite state spaces, which allow for exact algorithms for filtering, estimation etc. and models with continuous state spaces (also called state-space models) requiring approximate simulation-based algorithms that are also described in detail. Simulation in hidden Markov models is addressed in five different chapters that cover both Markov chain Monte Carlo and sequential Monte Carlo approaches. Many examples illustrate the algorithms and theory. The book also carefully treats Gaussian linear state-space models and their extensions and it contains a chapter on general Markov chain theory and probabilistic aspects of hidden Markov models.
This volume will suit anybody with an interest in inference for stochastic processes, and it will be useful for researchers and practitioners in areas such as statistics, signal processing, communications engineering, control theory, econometrics, finance and more. The algorithmic parts of the book do not require an advanced mathematical background, while the more theoretical parts require knowledge of probability theory at the measure-theoretical level.Exemplaires (1)
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