Smoothing spline ANOVA models

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...

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Detalhes bibliográficos
Autor principal: Gu, Chong
Formato: Livre numérique
Idioma:Anglais
Publicado em: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edição:2nd ed. 2013.
Colecção:Springer Series in Statistics 297
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Edition sous un autre format:• Smoothing spline ANOVA models, Chong Gu, 2nd ed., New York, Springer, 2013, 1 vol. (XVIII-433 p.), Springer series in statistics, 978-1-4614-5368-0
• Smoothing Spline ANOVA Models, Texte imprimé, 9781489989840
• Smoothing Spline ANOVA Models, Texte imprimé, 9781461453703
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505 1 |a Introduction Model Construction Regression with Gaussian-Type Responses More Splines Regression and Exponential Families Regression with Correlated Responses Probability Density Estimation Hazard Rate Estimation Asymptotic Convergence Penalized Pseudo Likelihood 
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520 |a 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 
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