Nonlinear times series theory, methods and applications with R examples

This text emphasizes nonlinear models for a course in time series analysis. After introducing stochastic processes, Markov chains, Poisson processes, and ARMA models, the authors cover functional autoregressive, ARCH, threshold AR, and discrete time series models as well as several complementary app...

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Bibliographic Details
Main Authors: Douc, Randal author, Moulines, Eric (Author), Stoffer, David S. (Author)
Format: Book
Language:English
Published: Boca Raton CRC Press, Taylor & Francis Group [2014]
Series:Texts in statistical science
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Summary:This text emphasizes nonlinear models for a course in time series analysis. After introducing stochastic processes, Markov chains, Poisson processes, and ARMA models, the authors cover functional autoregressive, ARCH, threshold AR, and discrete time series models as well as several complementary approaches. They discuss the main limit theorems for Markov chains, useful inequalities, statistical techniques to infer model parameters, and GLMs. Moving on to HMM models, the book examines filtering and smoothing, parametric and nonparametric inference, advanced particle filtering, and numerical methods for inference.
Physical Description:xx, 531 pages illustrations 24 cm
Bibliography:Includes bibliographical references and index
ISBN:9781466502253