swMATH ID: 6099
Software Authors: Chong Gu
Description: Smoothing spline ANOVA models 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.
Homepage: http://cran.r-project.org/web/packages/gss/
Source Code:  https://github.com/cran/gss
Dependencies: R (≥ 2.14.0)
Related Software: R; SemiPar; fda (R); gamair; ElemStatLearn; GAMLSS; S-PLUS; mgcv; BayesX; GMRFLib; UCI-ml; MEMSS; assist; KernSmooth; VGAM; dobson; BayesDA; BayesTree; BartPy; spBayes
Cited in: 357 Documents

Standard Articles

3 Publications describing the Software, including 2 Publications in zbMATH Year
Smoothing Spline ANOVA Models: R Package gss Link
Chong Gu
Smoothing spline ANOVA models. 2nd ed. Zbl 1269.62040
Gu, Chong
Smoothing spline ANOVA models. Zbl 1051.62034
Gu, Chong
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Cited by 654 Authors

15 Du, Pang
12 Wang, Yuedong
11 Gu, Chong
10 Wood, Simon N.
9 Ma, Ping
8 Liu, Yufeng
8 Marra, Giampiero
8 Zhang, Hao Helen
7 Cheng, Guang
7 Durban, Maria
7 Radice, Rosalba
7 Wahba, Grace
6 Ma, Shuangge
6 Shang, Zuofeng
5 Banerjee, Sudipto
5 Cao, Jiguo
5 Finley, Andrew O.
5 Kim, YoungJu
5 Kneib, Thomas
5 Liang, Hua
5 Lukas, Mark A.
5 Zhong, Wenxuan
4 Kosorok, Michael R.
4 Lee, Dae-Jin
4 Lin, Yi
4 Liu, Anna
4 Ramsay, James O.
3 Anderssen, Robert Scott
3 Bartel, Felix
3 Borgonovo, Emanuele
3 de Hoog, Frank Robert
3 Eilers, Paul H. C.
3 Faraway, Julian J.
3 Huang, Jianhua Z.
3 Kounchev, Ognyan Ivanov
3 Lang, Stefan M.
3 Lee, Thomas C. M.
3 Leng, Chenlei
3 Render, Hermann
3 Storlie, Curtis B.
3 Sun, Xiaoxiao
3 Tuo, Rui
3 Wang, Xiao
3 Wong, Raymond K. W.
3 Wu, Yichao
3 Zhang, Chong
2 Abramovich, Felix P.
2 Antonelli, Joseph L.
2 Antoniadis, Anestis
2 Bach, Francis R.
2 Basile, Roberto
2 Belitz, Christiane
2 Bellinger, David C.
2 Boer, Martin P.
2 Buysse, Daniel J.
2 Buzzard, Gregery T.
2 Chen, Chen
2 Chen, Chun-Shu
2 Christiani, David C.
2 Chun, Hyonho
2 Cornillon, Pierre-André
2 Coull, Brent A.
2 Cui, Wenquan
2 de Faveri, Joanne
2 Dean, Charmaine B.
2 Du, Jiarui
2 Fan, Ruzong
2 Ferris, Michael C.
2 Gao, Zhenguo
2 Gill, Ryan S.
2 Greco, Fedele
2 Hall, Martica H.
2 Han, Xuli
2 Helwig, Nathaniel E.
2 Hielscher, Ralf
2 Hong, Yongmiao
2 Hsing, Tailen
2 Huang, Hanwen
2 Jeon, Yongho
2 Jiang, Jiancheng
2 Kalogridis, Ioannis
2 Klein, Nadja
2 Klein, Ronald
2 Koenker, Roger W.
2 Koo, Ja-Yong
2 Krafty, Robert Todd
2 Lamboni, Matieyendou
2 Li, Luyi
2 Li, Ting
2 Lin, Junhong
2 Liu, Meimei
2 Lü, Zhenzhou
2 Maity, Arnab Kumar
2 Mateu, Jorge
2 Matzner-Løber, Eric
2 Mazumdar, Maitreyi M.
2 Meng, Cheng
2 Mínguez, Román
2 Mizera, Ivan
2 Nanshan, Muye
...and 554 more Authors
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Cited in 100 Serials

30 Computational Statistics and Data Analysis
19 The Annals of Statistics
17 Biometrics
17 Journal of the American Statistical Association
12 The Annals of Applied Statistics
10 Journal of Multivariate Analysis
10 Journal of Statistical Planning and Inference
10 Electronic Journal of Statistics
10 Journal of Computational and Graphical Statistics
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9 Statistics and Computing
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8 Journal of Nonparametric Statistics
8 SORT. Statistics and Operations Research Transactions
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6 Journal of Applied Statistics
5 Communications in Statistics. Simulation and Computation
5 Australian & New Zealand Journal of Statistics
5 Journal of Agricultural, Biological, and Environmental Statistics
5 SIAM/ASA Journal on Uncertainty Quantification
4 Scandinavian Journal of Statistics
4 Annals of the Institute of Statistical Mathematics
4 Communications in Statistics. Theory and Methods
4 Journal of the Royal Statistical Society. Series B. Statistical Methodology
4 Springer Series in Statistics
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2 The American Statistician
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2 Statistics & Probability Letters
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2 Journal of Statistical Mechanics: Theory and Experiment
2 Bayesian Analysis
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1 Statistical Theory and Related Fields
1 SIAM Journal on Mathematics of Data Science

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