Introduction to Time Series Modeling with Applications in R

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A01=Genshiro Kitagawa
advanced time series estimation methods
AR Coefficient
AR Model
ARMA model
ARMA Order
Author_Genshiro Kitagawa
Autocorrelation Function
Autocovariance Function
Category=KCH
Category=PBT
Category=UFM
Cauchy Distribution
covariance structure analysis
Cross-covariance Function
entropy maximization principle
entropy-based modeling
eq_bestseller
eq_business-finance-law
eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
Householder Transformation
Kalman filter
least squares method
locally stationary AR model
MA Coefficient
maximum likelihood method
Maximum Temperature Data
Monte Carlo simulation
multivariate analysis
Multivariate Time Series
non-Gaussian filter
non-Gaussian State Space Model
Nonlinear State Space Model
Nonstationary Time Series
nonstationary time series models
parameter estimation
parameter optimization
Power Spectrum
recursive estimation
recursive filtering
Rudder Angle
Sample Autocorrelation Function
Sample Autocovariance Functions
seasonal adjustment model
sequential Monte Carlo filter
simulation methods
smoothing methods
state-space model
Stationary Time Series
stationary time series models
statistical signal processing
time series modeling
Time Series Models
time-varying coefficient AR model
Trend Component
trend model
Variance Covariance Matrix

Product details

  • ISBN 9780367187330
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 11 Aug 2020
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Praise for the first edition:

[This book] reflects the extensive experience and significant contributions of the author to non-linear and non-Gaussian modeling. … [It] is a valuable book, especially with its broad and accessible introduction of models in the state-space framework.

Statistics in Medicine

What distinguishes this book from comparable introductory texts is the use of state-space modeling. Along with this come a number of valuable tools for recursive filtering and smoothing, including the Kalman filter, as well as non-Gaussian and sequential Monte Carlo filters.

MAA Reviews

Introduction to Time Series Modeling with Applications in R, Second Edition covers numerous stationary and nonstationary time series models and tools for estimating and utilizing them. The goal of this book is to enable readers to build their own models to understand, predict and master time series. The second edition makes it possible for readers to reproduce examples in this book by using the freely available R package TSSS to perform computations for their own real-world time series problems.

This book employs the state-space model as a generic tool for time series modeling and presents the Kalman filter, the non-Gaussian filter and the particle filter as convenient tools for recursive estimation for state-space models. Further, it also takes a unified approach based on the entropy maximization principle and employs various methods of parameter estimation and model selection, including the least squares method, the maximum likelihood method, recursive estimation for state-space models and model selection by AIC.

Along with the standard stationary time series models, such as the AR and ARMA models, the book also introduces nonstationary time series models such as the locally stationary AR model, the trend model, the seasonal adjustment model, the time-varying coefficient AR model and nonlinear non-Gaussian state-space models.

About the Author:

Genshiro Kitagawa is a project professor at the University of Tokyo, the former Director-General of the Institute of Statistical Mathematics, and the former President of the Research Organization of Information and Systems.

Genshiro Kitagawa is a project professor at the University of Tokyo, the former Director-General of the Institute of Statistical Mathematics, and the former President of the Research Organization of Information and Systems.

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