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Nonparametric regression and generalized linear models : a roughness penalty approach

Author: P J Green; B W Silverman
Publisher: London ; New York : Chapman & Hall, 1994.
Series: Monographs on statistics and applied probability (Series), 58.
Edition/Format:   Print book : English : 1st edView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: P J Green; B W Silverman
ISBN: 0412300400 9780412300400
OCLC Number: 29635089
Description: ix, 182 pages : illustrations ; 23 cm.
Series Title: Monographs on statistics and applied probability (Series), 58.
Responsibility: P.J. Green and B.W. Silverman.
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Abstract:

"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.

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