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Statistics - Statistical Theory and Methods | Smoothing Spline ANOVA Models

Smoothing Spline ANOVA Models

Series: Springer Series in Statistics, Vol. 297

Gu, Chong

2nd ed. 2013, XVIII, 433 p. 82 illus., 69 illus. in color.

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  • ​Covers latest research of smoothing methods in data analysis
  • Second edition is updated with latest computational methods, including the uses ofthe R package gss
  • Empirical studies are expanded, reorganized, and mostly rerun using the latest software
  • Two new appendices are also added,  outlining the overall design of the R package gss and coverage of new and controversial topics on smoothing methods

Nonparametric function estimation with stochastic data, otherwise

known as smoothing, has been studied by several generations of

statisticians. Assisted by the ample computing power in today's

servers, desktops, and laptops, smoothing methods have been 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 treatise on penalty smoothing

under a unified framework. Methods are developed for (i) regression

with Gaussian and non-Gaussian responses as well as with censored lifetime 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.

Content Level » Research

Keywords » ANOVA - ANOVA models - Spline smoothing - nonparametric smoothing - smoothing methods

Related subjects » Statistical Theory and Methods

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