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Zusatztext A distinguished strength of this book is the wide variety of real data sets used to illustrate models and methods. ? extremely helpful for practitioners ? For each method! the book provides all the necessary computational details! including explicit formulae and detailed algorithms. ? It is an ideal textbook for a high-level graduate student course and an ideal reference for those who deal with complicated nonparametric or semiparametric regression models. ? I think this is a great book on smoothing splines that one should treasure like Wahba and Gu.-Pang Du! Biometrics! December 2012? a readable text that focuses on methodology! computation! implementation! software! and application. The book is lavishly illustrated with real examples and incorporates many figures which clearly demonstrate the differences between the various smoothing spline models far more effectively than mere words could ever do. A library implemented in the R language is available to apply the methods described! and the analyses undertaken! in the book. For anyone wishing to explore the utility of smoothing spline models and the ease with which they can be fitted and explored! I recommend this text as your first reference before delving into the technical details of the underlying RKHS.-International Statistical Review! 80! 2012This excellent book aims at making the advanced smoothing spline methodology based on reproducing kernel Hilbert spaces (RKHS) more accessible to practitioners and students. It provides software and examples to enable spline smoothing methods to be routinely used in practice ? The exposition is very clear; the author takes great care to motivate the different tools and to explain their use. When there are different approaches for the same problem! their pros and cons are carefully considered. Throughout the book! the systematic use of RKHS helps the reader to understand the main issues. The book can be used as reference book and also serve as a text for an advanced course.-Ricardo Maronna! Statistical Papers! September 2012 Informationen zum Autor 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. Klappentext With many real-world examples, this book shows how to apply the powerful methods of smoothing splines in practice. It covers basic smoothing spline models as well as more advanced models, such as spline smoothing with correlated random errors. It also presents methods for model selection and inference. The author makes the advanced smoothing spline methodology based on reproducing kernel Hilbert space (RKHS) accessible to practitioners and students by keeping theory to a minimum. R is used throughout to implement the methods, with code available for download on the book's web page. Zusammenfassung 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,...
