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Smoothing Spline ANOVA Models

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Smoothing Spline ANOVA Models
 Produktbeschreibung

Smoothing Spline ANOVA Models

Autoren: Chong Gu
Sprache: English
Verlag: Springer-Verlag New York
Reihe: Springer Series in Statistics
ISBN: 0-387-95353-1


Nonparametric function estimation with stochastic data, otherwise known as smoothing, has been studied by several generations of statisticians. Assisted by the recent availability of ample desktop and laptop computing power, smoothing methods are now finding their ways into everyday data analysis by practitioners.
While scores of methods have proved successful for univariate smoothing, ones practical in multivariate settings number far less. Smoothing spline ANOVA models are a versatile family of smoothing methods derived through roughness penalties that are suitable for both univariate and multivariate problems.
In this book, the author presents a comprehensive treatment of penalty smoothing under a unified framework. Methods are developed for (i) regression with Gaussian and non-Gaussian responses as well as with censored life time data; (ii) density and conditional density estimation under a variety of sampling schemes; and (iii) hazard rate estimation with censored life time data and covariates. The unifying themes are the general penalized likelihood method and the construction of multivariate models with built-in ANOVA decompositions. Extensive discussions are devoted to model construction, smoothing parameter selection, computation, and asymptotic convergence. Most of the computational and data analytical tools discussed in the book are implemented in R, an open-source clone of the popular S/S- PLUS language. Code for regression has been distributed in the R package gss freely available through the Internet on CRAN, the Comprehensive R Archive Network. The use of gss facilities is illustrated in the book through simulated and real data examples.


Aus dem Inhalt:
  • Introduction.
  • Model Construction.
  • Regression with Gaussian Type Responses.
  • More Splines.
  • Regression with Exponential Families.
  • Probability Density Estimation.
  • Hazard Rate Estimation.
  • Asymptotic Convergence.


Buchkategorie: Monograph

Infotext: - Smoothing is an active area of research
- Most of the computational and data analytiv tools discussed in the book are implemented in R, an open-source clone of the popular S/S-PLUS language
- Book can be used as a reference for researchers in theo


Klassifizierung:
  • Statistische Theorie und Methoden


Hauptzielgruppe: Science

Bibliographie: 2002, XIII, 289 p. 42 illus., Hardcover

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