Nonparametric regression and generalized linear models : a roughness penalty approach /

"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 problem...

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Bibliographic Details
Main Author: Green, P. J (Peter J.)
Other Authors: Silverman, B. W., 1952-
Format: Book
Language:English
Published: London ; New York : Chapman & Hall, 1994
Edition:First edition
Series:Monographs on statistics and applied probability (Series) ; 58
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245 1 0 |a Nonparametric regression and generalized linear models :  |b a roughness penalty approach /  |c P.J. Green and B.W. Silverman 
250 |a First edition 
264 1 |a London ;  |a New York :  |b Chapman & Hall,  |c 1994 
300 |a 1 online resource (ix, 182 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Monographs on statistics and applied probability ;  |v 58 
504 |a Includes bibliographical references (pages 169-173) and indexes 
505 0 |a 1. Introduction -- 2. Interpolating and smoothing splines -- 3. One-dimensional case: further topics -- 4. Partial splines -- 5. Generalized linear models -- 6. Extending the model -- 7. Thin plate splines -- 8. Available software 
520 1 |a "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."--Jacket 
588 0 |a Print version record 
650 0 |a Nonparametric statistics 
650 0 |a Regression analysis 
650 1 |a Nonparametric statistics 
650 7 |a Analyse de régression  |2 ram 
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650 7 |a Lineare Regression  |2 gnd 
650 7 |a Lineares Regressionsmodell  |2 gnd 
650 7 |a Méthodes statistiques  |2 eclas 
650 7 |a Nichtparametrisches Verfahren  |2 gnd 
650 7 |a Nonparametric statistics  |2 fast 
650 7 |a Regression analysis  |2 fast 
650 7 |a Statistique non-paramétrique  |2 ram 
650 0 2 |a Regression Analysis 
650 1 7 |a Lineaire modellen  |2 gtt 
650 1 7 |a Non-parametrische statistiek  |2 gtt 
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655 4 |a Electronic books 
700 1 |a Silverman, B. W.,  |d 1952- 
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830 0 |a Monographs on statistics and applied probability (Series) ;  |v 58 
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