Smoothing Splines Methods and Applications

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  • Engels
  • Hardcover
  • 9781420077551
  • 22 juni 2011
  • 370 pagina's
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Samenvatting

A general class of powerful and flexible modeling techniques, spline smoothing has attracted a great deal of research attention in recent years and has been widely used in many application areas, from medicine to economics. Smoothing Splines: Methods and Applications covers basic smoothing spline models, including polynomial, periodic, spherical, thin-plate, L-, and partial splines, as well as more advanced models, such as smoothing spline ANOVA, extended and generalized smoothing spline ANOVA, vector spline, nonparametric nonlinear regression, semiparametric regression, and semiparametric mixed-effects models. It also presents methods for model selection and inference.

The book provides unified frameworks for estimation, inference, and software implementation by using the general forms of nonparametric/semiparametric, linear/nonlinear, and fixed/mixed smoothing spline models. The theory of reproducing kernel Hilbert space (RKHS) is used to present various smoothing spline models in a unified fashion. Although this approach can be technical and difficult, the author makes the advanced smoothing spline methodology based on RKHS accessible to practitioners and students. He offers a gentle introduction to RKHS, keeps theory at a minimum level, and explains how RKHS can be used to construct spline models.

Smoothing Splines offers a balanced mix of methodology, computation, implementation, software, and applications. It uses R to perform all data analyses and includes a host of real data examples from astronomy, economics, medicine, and meteorology. The codes for all examples, along with related developments, can be found on the book’s web page.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
22 juni 2011
Aantal pagina's
370
Illustraties
Nee

Betrokkenen

Hoofdauteur
Yuedong Wang
Tweede Auteur
Yuedong Want
Hoofduitgeverij
Onbekend

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Editie
1
Extra groot lettertype
Nee
Product breedte
165 mm
Product hoogte
25 mm
Product lengte
241 mm
Studieboek
Nee
Verpakking breedte
165 mm
Verpakking hoogte
25 mm
Verpakking lengte
241 mm
Verpakkingsgewicht
703 g

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EAN
9781420077551
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