Nonparametric Regression and Generalized Linear Models: A roughness penalty approach (Chapman & Hall/CRC Monographs on Statistics and Applied Probability) - Hardcover

Green, P.J.; Silverman, Bernard. W.

Hardcover

ISBN 10: 0412300400 ISBN 13: 9780412300400

Publisher: Chapman and Hall/CRC, 1993

Synopsis

In recent years, there has been a great deal of interest and activity in the general area of nonparametric smoothing in statistics. This monograph concentrates on the roughness penalty method and shows how this technique provides a unifying approach to a wide range of smoothing problems. The method allows parametric assumptions to be realized in regression problems, in those approached by generalized linear modelling, and in many other contexts. The emphasis throughout is methodological rather than theoretical, and it concentrates on statistical and computation issues. Real data examples are used to illustrate the various methods and to compare them with standard parametric approaches. Some publicly available software is also discussed. The mathematical treatment is self-contained and depends mainly on simple linear algebra and calculus. This monograph will be useful both as a reference work for research and applied statisticians and as a text for graduate students and other encountering the material for the first time.

About this title

About the Author

P.J. Green, Bristol Univesity. Bernard. W. Silverman St. Peters College, Oxford.

From the Back Cover

Over the past 15 years there has been a great deal of interest and activity in the general area of nonparametric smoothing in statistics. This monograph concentrates on the roughness penalty method with the aim of showing how it provides a unifying approach to a wide range of smoothing problems. The method allows parametric assumptions to be relaxed both in regression problems and in those approached by generalized linear modelling. The emphasis throughout is methodological rather than theoretical and concentrates on statistical and computational issues. Real data examples are used to illustrate the various methods and to compare them with standard parametric approaches. Some publicly available software is also discussed. The mathematical treatment is intended to be largely self-contained, and depends mainly on simple linear algebra and calculus. This monograph will be useful both as a reference work for research and applied statisticians and as a text for graduate students and others encountering the material for the first time.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1993
• Language: English
• ISBN 10: 0412300400
• ISBN 13: 9780412300400
• Binding: Hardcover
• Edition number: 1
• Number of pages: 194