The book is OK but it falls behind other available texts at comparable or lower prices. I agree with others that the book is not the best introduction and neither a must-have rigorous reference. The main contribution is that it does account for some topics not typically found in most time series tex
Time Series Analysis and Its Applications: With R Examples (Springer Texts in Statistics)
β Scribed by Robert H. Shumway, David S. Stoffer
- Publisher
- Springer
- Year
- 2017
- Tongue
- English
- Leaves
- 568
- Edition
- 4th ed. 2017
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
The fourth edition of this popular graduate textbook, like its predecessors, presents a balanced and comprehensive treatment of both time and frequency domain methods with accompanying theory. Numerous examples using nontrivial data illustrate solutions to problems such as discovering natural and anthropogenic climate change, evaluating pain perception experiments using functional magnetic resonance imaging, and monitoring a nuclear test ban treaty.
The book is designed as a textbook for graduate level students in the physical, biological, and social sciences and as a graduate level text in statistics. Some parts may also serve as an undergraduate introductory course. Theory and methodology are separated to allow presentations on different levels. In addition to coverage of classical methods of time series regression, ARIMA models, spectral analysis and state-space models, the text includes modern developments including categorical time series analysis, multivariate spectral methods, long memory series, nonlinear models, resampling techniques, GARCH models, ARMAX models, stochastic volatility, wavelets, and Markov chain Monte Carlo integration methods.
This edition includes R code for each numerical example in addition to Appendix R, which provides a reference for the data sets and R scripts used in the text in addition to a tutorial on basic R commands and R time series.Β An additional file is available on the bookβs website for download, making all the data sets and scripts easy to load into R.
β¦ Table of Contents
Preface to the Fourth Edition
Preface to the Third Edition
Characteristics of Time Series
The Nature of Time Series Data
Time Series Statistical Models
Measures of Dependence
Stationary Time Series
Estimation of Correlation
Vector-Valued and Multidimensional Series
Problems
Time Series Regression and Exploratory Data Analysis
Classical Regression in the Time Series Context
Exploratory Data Analysis
Smoothing in the Time Series Context
Problems
ARIMA Models
Autoregressive Moving Average Models
Difference Equations
Autocorrelation and Partial Autocorrelation
Forecasting
Estimation
Integrated Models for Nonstationary Data
Building ARIMA Models
Regression with Autocorrelated Errors
Multiplicative Seasonal ARIMA Models
Problems
Spectral Analysis and Filtering
Cyclical Behavior and Periodicity
The Spectral Density
Periodogram and Discrete Fourier Transform
Nonparametric Spectral Estimation
Parametric Spectral Estimation
Multiple Series and Cross-Spectra
Linear Filters
Lagged Regression Models
Signal Extraction and Optimum Filtering
Spectral Analysis of Multidimensional Series
Problems
Additional Time Domain Topics
Long Memory ARMA and Fractional Differencing
Unit Root Testing
GARCH Models
Threshold Models
Lagged Regression and Transfer Function Modeling
Multivariate ARMAX Models
Problems
State Space Models
Linear Gaussian Model
Filtering, Smoothing, and Forecasting
Maximum Likelihood Estimation
Missing Data Modifications
Structural Models: Signal Extraction and Forecasting
State-Space Models with Correlated Errors
ARMAX Models
Multivariate Regression with Autocorrelated Errors
Bootstrapping State Space Models
Smoothing Splines and the Kalman Smoother
Hidden Markov Models and Switching Autoregression
Dynamic Linear Models with Switching
Stochastic Volatility
Bayesian Analysis of State Space Models
Problems
Statistical Methods in the Frequency Domain
Introduction
Spectral Matrices and Likelihood Functions
Regression for Jointly Stationary Series
Regression with Deterministic Inputs
Random Coefficient Regression
Analysis of Designed Experiments
Discriminant and Cluster Analysis
Principal Components and Factor Analysis
The Spectral Envelope
Problems
Appendix Large Sample Theory
Convergence Modes
Central Limit Theorems
The Mean and Autocorrelation Functions
Appendix Time Domain Theory
Hilbert Spaces and the Projection Theorem
Causal Conditions for ARMA Models
Large Sample Distribution of the AR Conditional Least Squares Estimators
The Wold Decomposition
Appendix Spectral Domain Theory
Spectral Representation Theorems
Large Sample Distribution of the Smoothed Periodogram
The Complex Multivariate Normal Distribution
Integration
RiemannβStieltjes Integration
Stochastic Integration
Spectral Analysis as Principal Component Analysis
Parametric Spectral Estimation
Appendix R Supplement
First Things First
astsa
Getting Started
Time Series Primer
Graphics
References
Index
π SIMILAR VOLUMES
The book is OK but it falls behind other available texts at comparable or lower prices. I agree with others that the book is not the best introduction and neither a must-have rigorous reference. The main contribution is that it does account for some topics not typically found in most time series tex
This book has been developed for a one-semester course usually attended by students in statistics, economics, business, engineering, and quantitative social sciences. A unique feature of this edition is its integration with the R computing environment. Basic applied statistics is assumed through mul
Time Series Analysis and Its Applications, second edition, presents a balanced and comprehensive treatment of both time and frequency domain methods with accompanying theory. Numerous examples using non-trivial data illustrate solutions to problems such as evaluating pain perception experiments usin
Time Series Analysis and Its Applications presents a balanced and comprehensive treatment of both time and frequency domain methods with accompanying theory. Numerous examples using non-trivial data illustrate solutions to problems such as evaluating pain perception experiments using magnetic resona