Mixture and Hidden Markov Models with R

This book discusses mixture and hidden Markov models for modeling behavioral data. Mixture and hidden Markov models are statistical models which are useful when an observed system occupies a number of distinct regimes or unobserved (hidden) states. These models are widely used in a variety of fields, including artificial intelligence, biology, finance, and psychology. Hidden Markov models can be viewed as an extension of mixture models, to model transitions between states over time. Covering both mixture and hidden Markov models in a single book allows main concepts and issues to be introduced in the relatively simpler context of mixture models. After a thorough treatment of the theory and practice of mixture modeling, the conceptual leap towards hidden Markov models is relatively straightforward.

This book provides many practical examples illustrating the wide variety of uses of the models. These examples are drawn from our own work in psychology, as well as other areas such as financial time series and climate data. Most examples illustrate the use of the authors' depmixS4 package, which provides a flexible framework to construct and estimate mixture and hidden Markov models. All examples are fully reproducible and the accompanying hmmR package provides all the datasets used, as well as additional functionality. This book is suitable for advanced students and researchers with an applied background.

Provides a unified and comprehensive treatment of mixture and hidden Markov models Provides many practical R examples on applications in the behavioral and social sciences Suitable for advanced students and researchers in applied statistics and the social sciences

Auteur

Ingmar Visser is Associate Professor of Developmental Psychology at the Department of Psychology, University of Amsterdam, where he also obtained his PhD after studying philosophy of language, mathematics and psychology. His research revolves around studying the dynamics of learning and development in all stages of development and in developing statistical methods for optimally mapping such development.

Maarten Speekenbrink is Associate Professor of Mathematical Psychology at the Department of Experimental Psychology, University College London, and Fellow of the Alan Turing Institute, the UK national institute for data science and artificial intelligence. He obtained his PhD in Psychological Methods at the University of Amsterdam.

Together, the authors developed the depmixS4 package, which already has a large user base in different areas of science. They have authored articles on the theory and use of hidden Markov models, and have given numerous talks and workshops on mixture and hidden Markov modelling.

Résumé

"The book is intended to guide the reader step by step on how to apply basic versions of FM and HM models and keep the text generally accessible to a broad audience, mainly from sociology, psychology, and economics, who have not used these models before and would apply them." (Francesco Bartolucci and Fulvia Pennoni, Psychometrika, Vol. 89 (2), June, 2024)

Contenu
Preface.- Introduction & preliminaries.- 2 Mixture and latent class models.- 3 Mixture and latent class models: Applications.- 4 Hidden Markov model.- 5 Univariate hidden Markov models.- 6 Multivariate hidden Markov models.- 7 Extensions.- References.- Index.- Epilogue.