Smoothing Splines: Methods and Applications - Couverture rigide

Wang, Yuedong

Couverture rigide

ISBN 10 : 1420077554 ISBN 13 : 9781420077551

Editeur : Chapman and Hall/CRC, 2011

Synopsis

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.

A propos du livre

À propos de l?auteur

Yuedong Wang is a professor and the chair of the Department of Statistics and Applied Probability at the University of California-Santa Barbara. Dr. Wang is an elected fellow of the ASA and ISI, a fellow of the RSS, and a member of IMS, IBS, and ICSA. His research covers the development of statistical methodology and its applications.

Détails de l'édition

• Éditeur: Chapman and Hall/CRC
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 1420077554
• ISBN 13: 9781420077551
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 394
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible