This volume is a comprehensive assessment of many recent developments in the modelling of time series. The focus is on introducing various nonlinear models and discussing their practical use, and encouraging the reader to apply nonlinear models to their practical modelling problems.

This book contains an extensive up-to-date overview of nonlinear time series models and their application to modelling economic relationships. It considers nonlinear models in stationary and nonstationary frameworks, and both parametric and nonparametric models are discussed. The book contains examples of nonlinear models in economic theory and presents the most common nonlinear time series models. Importantly, it shows the reader how to apply these models in practice. For this purpose, the building of various nonlinear models with its three stages of model building: specification, estimation and evaluation, is discussed in detail and is illustrated by several examples involving both economic and non-economic data. Since estimation of nonlinear time series models is carried out using numerical algorithms, the book contains a chapter on estimating parametric nonlinear models and another on estimating nonparametric ones. Forecasting is a major reason for building time series models, linear or nonlinear. The book contains a discussion on forecasting with nonlinear models, both parametric and nonparametric, and considers numerical techniques necessary for computing multi-period forecasts from them. The main focus of the book is on models of the conditional mean, but models of the conditional variance, mainly those of autoregressive conditional heteroskedasticity, receive attention as well. A separate chapter is devoted to state space models. As a whole, the book is an indispensable tool for researchers interested in nonlinear time series and is also suitable for teaching courses in econometrics and time series analysis.

1. Concepts, models, and definitions 2. Nonlinear models in economic theory 3. Parametric nonlinear models 4. The nonparametric approach 5. Testing linearity against parametric alternatives 6. Testing parameter constrancy 7. Nonparametric specification tests 8. Models of conditional heteroskedasticity 9. Time-varying parameters and state space models 10. Nonparametric models 11. Nonlinear and nonstationary models 12. Algrithms for estimating parametric nonlinear models 13. Basic nonparametric estimates 14. Forecasting from nonlinear models 15. Nonlinear impulse responses 16. Building nonlinear models 17. Other topics