Edited by
Nathalie Peyrard, INRAE, Toulouse, France.
Benoîte de Saporta, University of Montpellier, France.
ISBN : 9781836690351
Publication Date : January 2026
Hardcover 260 pp
165.00 USD
Co-publisher
Hidden Semi-Markov Models (HSMMs) have been extensively used for diverse applications where the objective is to analyze time series whose dynamics can be explained by a hidden process.
A Comprehensive Guide to HSMM offers an accessible introduction to the framework of HSMM, covering the main methods and theoretical results for maximum likelihood estimation in HSMM. It also includes a unique review of existing R and Python software for HSMM estimation. The book then introduces less classical related topics, such as multi-chain HSMM and controlled HSMM, with an emphasis on the challenges related to computational complexity.
This book is primarily intended for master’s and PhD students, researchers and academic faculty in the fields of statistics, applied probability, graphical models, computer science and connected domains. It is also meant to be accessible to practitioners involved in modeling, analysis or control of time series in the fields of reliability, theoretical ecology, signal processing, finance, medicine and epidemiology.
1. Monochain HSMM, Jean-Baptiste Durand, Alain Franc, Nathalie Peyrard, Nicolas Vergne et Irene Votsi.
2. Review of HSMM R and Python Softwares, Caroline Bérard, Marie-Josée Cros, Jean-Baptiste Durand, Corentin Lothodé, Sandra Plancade, Ronan Trépos et Nicolas Vergne.
3. Multichain HMM, Hanna Bacave, Jean-Baptiste Durand, Alain Franc, Nathalie Peyrard, Sandra Plancade et Régis Sabbadin.
4. Multichain HSMM, Jean-Baptiste Durand, Nathalie Peyrard, Sandra Plancade et Régis Sabbadin.
5. The Forward-backward Algorithm with Matrix Calculus, Alain Franc.
Nathalie Peyrard is Senior Scientist at INRAE, Toulouse, France. Her research includes computational statistics in models with latent variables, with applications in ecology.
Benoîte de Saporta is Professor of Applied Mathematics at the University of Montpellier, France. Her research includes applied probability (Markov processes, optimal stochastic control) and statistics (inference for partially hidden processes).
