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Hidden markov models for time series : an introduction using R / Walter Zucchini, Iain L. MacDonald and Roland Langrock.

By: Contributor(s): Material type: TextTextSeries: Monographs on statistics and applied probability ; 150Publication details: Boca Raton : CRC Press, ©2106.Edition: Second editionDescription: xxviii, 370 pages : illustrations ; 24 cmISBN:
  • 9781482253832
Subject(s): DDC classification:
  • 519.233 23 Z94
Contents:
Preliminaries: mixtures and Markov chains -- Hidden Markov models: definition and properties -- Estimation by direct maximization of the likelihood -- Estimation by the EM algorithm -- Forecasting, decoding and state prediction -- Model selection and checking -- Bayesian inference for Poisson-hidden Markov models -- R packages -- HMMs with general state-dependent distribution -- Covariates and other extra dependencies -- Continuous-valued state processes -- Hidden semi-Markov models and their representation as HMMs -- HMMs for logitudinal data -- Introduction to applications -- Epileptic seizures -- Daily rainfall occurrence -- Eruptions of the Old Faithful geyser -- HMMs for animal movement -- Wind direction at Koeberg -- Models for financial series -- Births at Edendale Hospital -- Homicides and suicides in Cape Town, 1986-1991 -- A model for animal behavior which incorporates feedback -- Estimating the survival rates of Soay sheep from makr-recapture-recovery data -- Examples of R code -- Some proofs.
Summary: Hidden Markov Models for Time Series: An Introduction Using R, Second Edition illustrates the great flexibility of hidden Markov models (HMMs) as general-purpose models for time series data. The book provides a broad understanding of the models and their uses. After presenting the basic model formulation, the book covers estimation, forecasting, decoding, prediction, model selection, and Bayesian inference for HMMs. Through examples and applications, the authors describe how to extend and generalize the basic model so that it can be applied in a rich variety of situations. The book demonstrates how HMMs can be applied to a wide range of types of time series: continuous-valued, circular, multivariate, binary, bounded and unbounded counts, and categorical observations. It also discusses how to employ the freely available computing environment R to carry out the computations.
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Includes bibliographical references and indexes.

Preliminaries: mixtures and Markov chains --
Hidden Markov models: definition and properties --
Estimation by direct maximization of the likelihood --
Estimation by the EM algorithm --
Forecasting, decoding and state prediction --
Model selection and checking --
Bayesian inference for Poisson-hidden Markov models --
R packages --
HMMs with general state-dependent distribution --
Covariates and other extra dependencies --
Continuous-valued state processes --
Hidden semi-Markov models and their representation as HMMs --
HMMs for logitudinal data --
Introduction to applications --
Epileptic seizures --
Daily rainfall occurrence --
Eruptions of the Old Faithful geyser --
HMMs for animal movement --
Wind direction at Koeberg --
Models for financial series --
Births at Edendale Hospital --
Homicides and suicides in Cape Town, 1986-1991 --
A model for animal behavior which incorporates feedback --
Estimating the survival rates of Soay sheep from makr-recapture-recovery data --
Examples of R code --
Some proofs.

Hidden Markov Models for Time Series: An Introduction Using R, Second Edition illustrates the great flexibility of hidden Markov models (HMMs) as general-purpose models for time series data. The book provides a broad understanding of the models and their uses. After presenting the basic model formulation, the book covers estimation, forecasting, decoding, prediction, model selection, and Bayesian inference for HMMs. Through examples and applications, the authors describe how to extend and generalize the basic model so that it can be applied in a rich variety of situations. The book demonstrates how HMMs can be applied to a wide range of types of time series: continuous-valued, circular, multivariate, binary, bounded and unbounded counts, and categorical observations. It also discusses how to employ the freely available computing environment R to carry out the computations.

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