Smoothing spline ANOVA models Chong Gu

Format:

Book

Author/Creator:

Gu, Chong

Series:

Springer series in statistics 297

Springer series in statistics 0172-7397 297

Language:

English

Subjects (All):

Analysis of variance.

Spline theory.

Smoothing (Statistics).

statistics.

Physical Description:

1 online resource

Edition:

2nd ed.

Place of Publication:

New York, NY Springer ©2013

Language Note:

English

System Details:

text file

PDF

Summary:

Nonparametric function estimation with stochastic data, otherwiseknown as smoothing, has been studied by several generations ofstatisticians. Assisted by the ample computing power in today'sservers, desktops, and laptops, smoothing methods have been findingtheir ways into everyday data analysis by practitioners. While scoresof methods have proved successful for univariate smoothing, onespractical in multivariate settings number far less. Smoothing splineANOVA models are a versatile family of smoothing methods derivedthrough roughness penalties, that are suitable for both univariate andmultivariate problems. In this book, the author presents a treatise on penalty smoothingunder a unified framework. Methods are developed for (i) regressionwith Gaussian and non-Gaussian responses as well as with censored lifetime data; (ii) density and conditional density estimation under avariety of sampling schemes; and (iii) hazard rate estimation withcensored life time data and covariates. The unifying themes are thegeneral penalized likelihood method and the construction ofmultivariate models with built-in ANOVA decompositions. Extensivediscussions are devoted to model construction, smoothing parameterselection, computation, and asymptotic convergence

Contents:

Introduction Model Construction Regression with Gaussian-Type Responses More Splines Regression with Responses from Exponential Families Regression with Correlated Responses Probability Density Estimation Hazard Rate Estimation Asymptotic Convergence Penalized Pseudo Likelihood

Notes:

Includes bibliographical references and indexes

Other Format:

Print version Gu, Chong. Smoothing Spline ANOVA Models

ISBN:

9781461453697

1461453690

1461453682

9781461453680

1299337511

9781299337510

OCLC:

826636317

Access Restriction:

Restricted for use by site license