Applied Nonparametric Regression

This is the first book to bring together in one place the techniques for regression curve smoothing involving more than one variable.

Wolfgang Härdle (Author)

9780521429504, Cambridge University Press

Paperback, published 31 January 1992

352 pages
22.9 x 15.2 x 2 cm, 0.52 kg

"...Härdle has written an important book on NPR that will undoubtedly serve as one of the standards in this field for some time to come." R. L. Eubank, Technometrics

Applied Nonparametric Regression is the first book to bring together in one place the techniques for regression curve smoothing involving more than one variable. The computer and the development of interactive graphics programs have made curve estimation possible. This volume focuses on the applications and practical problems of two central aspects of curve smoothing: the choice of smoothing parameters and the construction of confidence bounds. Härdle argues that all smoothing methods are based on a local averaging mechanism and can be seen as essentially equivalent to kernel smoothing. To simplify the exposition, kernel smoothers are introduced and discussed in great detail. Building on this exposition, various other smoothing methods (among them splines and orthogonal polynomials) are presented and their merits discussed. All the methods presented can be understood on an intuitive level; however, exercises and supplemental materials are provided for those readers desiring a deeper understanding of the techniques. The methods covered in this text have numerous applications in many areas using statistical analysis. Examples are drawn from economics as well as from other disciplines including medicine and engineering.

Preface
Part I. Regression Smoothing: 1. Introduction
2. Basic idea of smoothing 3. Smoothing techniques
Part II. The Kernel Method: 4. How close is the smooth to the true curve?
5. Choosing the smoothing parameter
6. Data sets with outliers
7. Smoothing with correlated data
8. Looking for special features (qualitative smoothing)
9. Incorporating parametric components and alternatives
Part III. Smoothing in High Dimensions: 10. Investigating multiple regression by additive models
Appendices
References
List of symbols and notation.

Subject Areas: Econometrics [KCH]