Nonparametric Regression and Generalized Linear Models

P.J. Green, Bernard. W. Silverman

ISBN 10: 0412300400 / ISBN 13: 9780412300400

Published by Taylor and Francis Ltd, GB, 1993

About this Item

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.

Seller Inventory # LU-9780412300400

Bibliographic Details

• Title: Nonparametric Regression and Generalized Linear Models
• Publisher: Taylor and Francis Ltd, GB
• Publication Date: 1993
• Language: English
• ISBN 10: 0412300400
• ISBN 13: 9780412300400
• Binding: Hardback
• Condition: New
• Weight: 840 grams

About this title

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 the Author

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