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Nonparametric Regression and Generalized Linear Models: A Roughness Penalty Approach

£29.99

Product description

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.

Item details

Author(s):
P. J. Green and B. W. Silverman
Condition:
Used: very good
Edition:
1994
Format:
Hardback
ISBN-10:
0412300400
ISBN-13:
9780412300400
Number of pages:
182
Publisher:
Chapman & Hall
Title:
Nonparametric Regression and Generalized Linear Models: A Roughness Penalty Approach

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About this item

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.

Author(s):
P. J. Green and B. W. Silverman
Condition:
Used: very good
Edition:
1994
Format:
Hardback
ISBN-10:
0412300400
ISBN-13:
9780412300400
Number of pages:
182
Publisher:
Chapman & Hall
Title:
Nonparametric Regression and Generalized Linear Models: A Roughness Penalty Approach

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