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E-raamat: Periodic Time Series Models

(, Econometric Institute, Erasmus University, Rotterdam), (, Faculty of Economics, Erasmus University, Rotterdam)
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This book considers periodic time series models for seasonal data, characterized by parameters that differ across the seasons, and focuses on their usefulness for out-of-sample forecasting. Providing an up-to-date survey of the recent developments in periodic time series, the book presents a large number of empirical results.

The first part of the book deals with model selection, diagnostic checking and forecasting of univariate periodic autoregressive models. Tests for periodic integration, are discussed, and an extensive discussion of the role of deterministic regressors in testing for periodic integration and in forecasting is provided.

The second part discusses multivariate periodic autoregressive models. It provides an overview of periodic cointegration models, as these are the most relevant. This overview contains single-equation type tests and a full-system approach based on generalized method of moments.

All methods are illustrated with extensive examples, and the book will be of interest to advanced graduate students and researchers in econometrics, as well as practitioners looking for an understanding of how to approach seasonal data.
List of figures
ix
List of tables
x
Notation and abbreviations xii
Introduction
1(10)
Preliminaries
1(2)
Readership
3(2)
Why periodic models?
5(3)
Outline of this book
8(3)
Properties of seasonal time series
11(16)
Graphs and basic regressions
11(6)
Typical features of seasonal time series
17(8)
Summary and outlook
25(2)
Univariate periodic time series models
27(34)
Representation
28(6)
Stationarity in periodic autoregressions
34(5)
Model selection and parameter estimation
39(7)
Forecasting
46(2)
Effects of neglecting periodicity
48(6)
Periodic conditional heteroskedasticity
54(4)
Discussion
58(3)
Periodic models for trending data
61(42)
Representation of unit roots
64(8)
Intercepts and deterministic trends
72(5)
Testing for unit roots
77(15)
Forecasting trending time series
92(5)
Effects of neglecting periodicity
97(2)
Conclusion
99(1)
EViews code
99(4)
Multivariate periodic time series models
103(22)
Notation and representation
104(4)
Useful representations in practice
108(3)
Cointegration testing---single-equation approach
111(6)
Cointegration testing---full-system approach
117(5)
Discussion
122(3)
Appendix A
125(1)
Critical values of the Dickey and Fuller statistics
125(1)
Appendix B
126(3)
Critical values of the Johansen trace statistics
126(3)
Appendix C
129(2)
Critical values of the Boswijk and Franses statistic
129(2)
References 131(10)
Author index 141(4)
Subject index 145
Philip Hans Franses is Professor of Applied Econometrics and Professor of Marketing Research at Erasmus University, Rotterdam. He is the author of a number of books, including Periodicity and Stochastic Trends in Economic Time Series (OUP, 1996).

Richard Paap is a Postdoctoral Researcher at the Econometric Institute in Erasmus University, Rotterdam.