# Introduction to Time Series Analysis and Forecasting. 2nd Edition. Wiley Series in Probability and Statistics

• ID: 3024948
• Book
• 672 Pages
• John Wiley and Sons Ltd
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Praise for the First Edition" [t]he book is great for readers who need to apply the methods and models presented but have little background in mathematics and statistics." –MAA ReviewsThoroughly updated throughout, Introduction to Time Series Analysis and Forecasting, Second Edition presents the underlying theories of time series analysis that are needed to analyze time–oriented data and construct real–world short– to medium–term statistical forecasts.

Authored by highly–experienced academics and professionals in engineering statistics, the Second Edition features discussions on both popular and modern time series methodologies as well as an introduction to Bayesian methods in forecasting. Introduction to Time Series Analysis and Forecasting, Second Edition also includes:

• Over 300 exercises from diverse disciplines including health care, environmental studies, engineering, and finance
• More than 50 programming algorithms using JMP, SAS, and R that illustrate the theory and practicality of forecasting techniques in the context of time–oriented data
• New material  on frequency domain and spatial temporal data analysis
• Expanded coverage of the variogram and spectrum with applications as well as transfer and intervention model functions
• A supplementary website featuring  PowerPoint® slides, data sets, and select solutions to the problems
Introduction to Time Series Analysis and Forecasting, Second Edition is an ideal textbook upper–undergraduate and graduate–levels courses in forecasting and time series. The book is also an excellent reference for practitioners and researchers who need to model and analyze time series data to generate forecasts.
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PREFACE xi

1 INTRODUCTION TO FORECASTING 1

1.1 The Nature and Uses of Forecasts 1

1.2 Some Examples of Time Series 6

1.3 The Forecasting Process 13

1.4 Data for Forecasting 16

1.5 Resources for Forecasting 19

2 STATISTICS BACKGROUND FOR FORECASTING 25

2.1 Introduction 25

2.2 Graphical Displays 26

2.3 Numerical Description of Time Series Data 33

2.4 Use of Data Transformations and Adjustments 46

2.5 General Approach to Time Series Modeling and Forecasting 61

2.6 Evaluating and Monitoring Forecasting Model Performance 64

2.7 R Commands for Chapter 2 84

3 REGRESSION ANALYSIS AND FORECASTING 107

3.1 Introduction 107

3.2 Least Squares Estimation in Linear Regression Models 110

3.3 Statistical Inference in Linear Regression 119

3.4 Prediction of New Observations 134

3.6 Variable Selection Methods in Regression 146

3.7 Generalized and Weighted Least Squares 152

3.8 Regression Models for General Time Series Data 177

3.9 Econometric Models 205

3.10 R Commands for Chapter 3 209

4 EXPONENTIAL SMOOTHING METHODS 233

4.1 Introduction 233

4.2 First–Order Exponential Smoothing 239

4.3 Modeling Time Series Data 245

4.4 Second–Order Exponential Smoothing 247

4.5 Higher–Order Exponential Smoothing 257

4.6 Forecasting 259

4.7 Exponential Smoothing for Seasonal Data 277

4.8 Exponential Smoothing of Biosurveillance Data 286

4.9 Exponential Smoothers and Arima Models 299

4.10 R Commands for Chapter 4 300

5 AUTOREGRESSIVE INTEGRATED MOVING AVERAGE (ARIMA) MODELS 327

5.1 Introduction 327

5.2 Linear Models for Stationary Time Series 328

5.2.1 Stationarity 329

5.2.2 Stationary Time Series 329

5.3 Finite Order Moving Average Processes 333

5.4 Finite Order Autoregressive Processes 337

5.5 Mixed Autoregressive Moving Average Processes 354

5.6 Nonstationary Processes 363

5.7 Time Series Model Building 367

5.8 Forecasting Arima Processes 378

5.9 Seasonal Processes 383

5.10 Arima Modeling of Biosurveillance Data 393

5.12 R Commands for Chapter 5 401

6 TRANSFER FUNCTIONS AND INTERVENTION MODELS 427

6.1 Introduction 427

6.2 Transfer Function Models 428

6.3 Transfer Function Noise Models 436

6.4 Cross–Correlation Function 436

6.5 Model Specification 438

6.6 Forecasting with Transfer Function Noise Models 456

6.7 Intervention Analysis 462

6.8 R Commands for Chapter 6 473

7 SURVEY OF OTHER FORECASTING METHODS 493

7.1 Multivariate Time Series Models and Forecasting 493

7.3 Arch and Garch Models 507

7.4 Direct Forecasting of Percentiles 512

7.5 Combining Forecasts to Improve Prediction Performance 518

7.6 Aggregation and Disaggregation of Forecasts 522

7.7 Neural Networks and Forecasting 526

7.8 Spectral Analysis 529

7.9 Bayesian Methods in Forecasting 535

7.10 Some Comments on Practical Implementation and Use of Statistical Forecasting Procedures 542

7.11 R Commands for Chapter 7 545

APPENDIX A STATISTICAL TABLES 561

APPENDIX B DATA SETS FOR EXERCISES 581

APPENDIX C INTRODUCTION TO R 627

BIBLIOGRAPHY 631

INDEX 639

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