Time Series Models

For anyone interested in time series analysis, this should be the second book you read following an elementary introduction such as Franses (1998).

Contents

1. Introduction

2. Stationary Stochastic Processes and their Properties in the Time Domain

3. Estimation and Testing of Autoregressive-Moving Average Models

4. State Space Models and the Kalman Filter

5. Time Series Models

6. The Frequency Domain

7. Multivariate Time Series

8. Non-Linear Models

Answers to Selected Exercises

References

Subject Index

Author Index

Harvey is a pioneer in the field who is well-known for his work applying the Kalman filter to time series modeling. In the opening three chapters of this book, he provides a sophisticated treatment of ARMA models and applicable estimation techniques. In chapter 4, he covers state-space models and the Kalman filter. Chapter 5 confronts the challenges of modeling non-stationary processes, and pursues three different solutions. Several models and techniques are introduced, including the classic Box-Jenkins differencing approach and the more sophisticated structural approach. The last three chapters cover the frequency domain, multivariate models and non-linear models, including ARCH and stochastic variance models. This is an exceptional book that opens the door to the vast literature on time series analysis. The book is technical, but it will be accessible to anyone who has mastered basic concepts of statistics as presented by Casella and Berger (2001).

For related books, see sections:

Mathematics - Probability

Mathematics - Time Series Analysis

Finance - Financial Econometrics

 

 

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