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gss

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; gamair; fda (R); ElemStatLearn; GAMLSS; S-PLUS; mgcv; BayesX; GMRFLib; MEMSS; UCI-ml; assist; dobson; KernSmooth; BayesDA; VGAM; glmnet; SemiParBIVProbit; Matlab
Cited in: 320 Publications
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Cited by 570 Authors

14 Du, Pang
11 Gu, Chong
10 Wang, Yuedong
10 Wood, Simon N.
8 Marra, Giampiero
8 Zhang, Hao Helen
7 Cheng, Guang
7 Durban, Maria
7 Liu, Yufeng
7 Ma, Ping
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.
4 Kosorok, Michael R.
4 Lee, Dae-Jin
4 Lin, Yi
4 Ramsay, James O.
4 Zhong, Wenxuan
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 Lang, Stefan M.
3 Leng, Chenlei
3 Liu, Anna
3 Wang, Xiao
3 Wu, Yichao
2 Abramovich, Felix P.
2 Antoniadis, Anestis
2 Bach, Francis R.
2 Basile, Roberto
2 Belitz, Christiane
2 Buysse, Daniel J.
2 Buzzard, Gregery T.
2 Chen, Chen
2 Chun, Hyonho
2 Cornillon, Pierre-André
2 Dean, Charmaine B.
2 Fan, Ruzong
2 Ferris, Michael C.
2 Gao, Zhenguo
2 Gill, Ryan S.
2 Greco, Fedele
2 Hall, Martica H.
2 Helwig, Nathaniel E.
2 Hielscher, Ralf
2 Hong, Yongmiao
2 Hooker, Giles
2 Hsing, Tailen
2 Huang, Hanwen
2 Huang, Jianhua Z.
2 Jeon, Yongho
2 Jiang, Jiancheng
2 Klein, Nadja
2 Klein, Ronald
2 Koenker, Roger W.
2 Koo, Ja-Yong
2 Kounchev, Ognyan Ivanov
2 Krafty, Robert Todd
2 Lamboni, Matieyendou
2 Li, Luyi
2 Lin, Junhong
2 Liu, Meimei
2 Lü, Zhenzhou
2 Maity, Arnab Kumar
2 Mateu, Jorge
2 Matzner-Løber, Eric
2 Mínguez, Román
2 Mizera, Ivan
2 Nanshan, Muye
2 Nielsen, Jason D.
2 Potts, Daniel
2 Qin, Li
2 Ratto, Marco
2 Render, Hermann
2 Robertson, John L.
2 Rohmer, Jeremy
2 Rue, Håvard
2 Sapatinas, Theofanis
2 Scheipl, Fabian
2 Steinberg, David M.
2 Sun, Xiaoxiao
2 Tan, Zhiqiang
2 Tuo, Rui
2 Voelker, Meta M.
2 Wainwright, Martin J.
2 Wang, Wenjia
2 Wong, Raymond K. W.
2 Wu, Tongtong
2 Xu, Ganggang
...and 470 more Authors
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Cited in 90 Serials

29 Computational Statistics and Data Analysis
19 The Annals of Statistics
15 Biometrics
11 The Annals of Applied Statistics
10 Journal of the American Statistical Association
10 Journal of Multivariate Analysis
10 Journal of Statistical Planning and Inference
9 Electronic Journal of Statistics
9 Statistics and Computing
8 The Canadian Journal of Statistics
8 Journal of Nonparametric Statistics
8 SORT. Statistics and Operations Research Transactions
8 Journal of Computational and Graphical Statistics
7 Computational Statistics
7 AStA. Advances in Statistical Analysis
5 Communications in Statistics. Simulation and Computation
5 Test
5 Statistica Sinica
5 Journal of Applied 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 Australian & New Zealand Journal of Statistics
4 Journal of the Royal Statistical Society. Series B. Statistical Methodology
4 Springer Series in Statistics
4 Chapman & Hall/CRC Texts in Statistical Science Series
3 Inverse Problems
3 Biometrika
3 Statistical Science
3 Journal of Statistical Computation and Simulation
3 Statistical Modelling
3 Journal of Machine Learning Research (JMLR)
3 Statistical Methods and Applications
2 Computers & Mathematics with Applications
2 Journal of Computational Physics
2 Psychometrika
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Statistics & Probability Letters
2 Journal of Complexity
2 European Journal of Operational Research
2 Applied and Computational Harmonic Analysis
2 Statistical Papers
2 Computational Geosciences
2 Journal of Statistical Mechanics: Theory and Experiment
2 Bayesian Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 Journal of Mathematical Analysis and Applications
1 Metrika
1 Physica A
1 Chaos, Solitons and Fractals
1 BIT
1 Information Sciences
1 Journal of Approximation Theory
1 Mathematics and Computers in Simulation
1 Journal of Time Series Analysis
1 American Journal of Mathematical and Management Sciences
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Economic Dynamics & Control
1 Annals of Operations Research
1 Machine Learning
1 Applied Mathematical Modelling
1 Proceedings of the National Academy of Sciences of the United States of America
1 Mathematical Programming. Series A. Series B
1 Tatra Mountains Mathematical Publications
1 SIAM Journal on Scientific Computing
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 Lifetime Data Analysis
1 Bernoulli
1 Revista Investigación Operacional
1 Optimization Methods & Software
1 Soft Computing
1 Stochastic Environmental Research and Risk Assessment
1 Biostatistics
1 International Journal of Wavelets, Multiresolution and Information Processing
1 International Journal of Computational Methods
1 International Journal of Numerical Analysis and Modeling
1 Journal of Forecasting
1 Statistical Methodology
1 Journal of the Korean Statistical Society
1 Computational & Mathematical Methods in Medicine
1 Journal of Statistical Theory and Practice
1 Mathematical Geosciences
1 Statistics and Its Interface
1 Mathematical Foundations of Computing
1 SIAM Journal on Mathematics of Data Science

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