Structured additive regression models: An R interface to BayesX

Journal of Statistical Software

Volumn 63, Issue 21, 2015, Pages

  Umlauf, Nikolaus ^a   Adler, Daniel ^b   Kneib, Thomas ^c   Lang, Stefan ^a   Zeileis, Achim ^a  

^a UNIVERSITY OF INNSBRUCK   (Austria)

^b GWDG Gesellschaft für wissenschaftliche Datenverarbeitung GmbH Göttingen   (Germany)

^c UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

MCMC; R; REML; STAR models; Stepwise

Indexed keywords

EID: 84981313753     PISSN: 15487660     EISSN: None     Source Type: Journal    
DOI: 10.18637/jss.v063.i21     Document Type: Article

References (48)

1. Adler D, Kneib T, Lang S, Umlauf N, Zeileis A (2014). BayesXsrc: R Package Distribution of the BayesX C++ Sources. R package version 2.1-2, URL http://CRAN.R-project. org/package=BayesXsrc.
2. Belitz C, Brezger A, Kneib T, Lang S (2012). BayesX - Software for Bayesian Inference in Structured Additive Regression Models. Version 2.1, URL http://www.BayesX.org/.
3. Belitz C, Lang S (2008). "Simultaneous Selection of Variables and Smoothing Parameters in Structured Additive Regression Models." Computational Statistics & Data Analysis, 53, 61-81.
4. Bivand RS, Pebesma E, Gómez-Rubio V (2013). Applied Spatial Data Analysis with R. 2nd edition. Springer-Verlag, New York. URL http://www.asdar-book.org/.
5. Brezger A, Kneib T, Lang S (2005). "BayesX: Analyzing Bayesian Structured Additive Regression Models." Journal of Statistical Software, 14(11), 1-22. URL http://www.jstatsoft. org/v14/i11/.
6. Brezger A, Lang S (2006). "Generalized Structured Additive Regression Based on Bayesian P-Splines." Computational Statistics & Data Analysis, 50, 947-991.
7. Burnham KP, Anderson DR (1998). Model Selection and Multimodel Inference. Springer-Verlag, New York.
8. Chambers JM, Hastie TJ (eds.) (1992). Statistical Models in S. Chapman & Hall, London.
9. Fahrmeir L, Kneib T, Lang S (2004). "Penalized Structured Additive Regression for Space Time Data: A Bayesian Perspective." Statistica Sinica, 14, 731-761.
10. Fahrmeir L, Kneib T, Lang S, Marx B (2013). Regression - Models, Methods and Applications. Springer-Verlag, Berlin.
11. Fahrmeir L, Lang S (2001). "Bayesian Inference for Generalized Additive Mixed Models Based on Markov Random Field Priors." Journal of the Royal Statistical Society C, 50, 201-220.
12. Fahrmeir L, Tutz G (2001). Multivariate Statistical Modelling Based on Generalized Linear Models. Springer-Verlag, New York.
13. Fotheringham AS, Brunsdon C, Charlton ME (2002). Geographically Weighted Regression: The Analysis of Spatially Varying Relationships. John Wiley & Sons, Chichester.
14. Göttlein A, Pruscha H (1996). "Der Einfuss von Bestandskenngrössen, Topographie, Standord und Witterung auf die Entwicklung des Kronenzustandes im Bereich des Forstamtes Rothenbuch." Forstwissenschaftliches Zentralblatt, 114, 146-162.
15. Hastie T (2013). gam: Generalized Additive Models. R package version 1.09.1, URL http://CRAN.R-project.org/package=gam.
16. Hastie T, Tibshirani R (1990). Generalized Additive Models. Chapman & Hall/CRC.
17. Hastie T, Tibshirani R (1993). "Varying-Coefficient Models." Journal of the Royal Statistical Society B, 55, 757-796.
18. Hastie TJ, Tibshirani RJ, Friedman J (2009). The Elements of Statistical Learning. 2nd edition. Springer-Verlag, New York.
19. Ihaka R, Murrell P, Hornik K, Fisher JC, Zeileis A (2013). colorspace: Color Space Manipulation. R package version 1.2-4, URL http://CRAN.R-project.org/package=colorspace.
20. Kamman EE, Wand MP (2003). "Geoadditive Models." Journal of the Royal Statistical Society C, 52, 1-18.
21. Kandala NB, Lang S, Klasen S, Fahrmeir L (2001). "Semiparametric Analysis of the Socio-Demographic and Spatial Determinants of Undernutrition in Two African Countries." Research in Official Statistics, 1, 81-100.
22. Kneib T, Fahrmeir L (2006). "Structured Additive Regression for Multicategorical Space-Time Data: A Mixed Model Approach." Biometrics, 62, 109-118.
23. Kneib T, Heinzl F, Brezger A, Bove DS, Klein N (2014). BayesX: R Utilities Accompanying the Software Package BayesX. R package version 0.2-9, URL http://CRAN.R-project. org/package=BayesX.
24. Krivobokova T (2012). AdaptFit: Adaptive Semiparametic Regression. R package version 0.2-2, URL http://CRAN.R-project.org/package=AdaptFit.
25. Lang S, Brezger A (2004). "Bayesian P-Splines." Journal of Computational and Graphical Statistics, 13, 183-212.
26. Lin X, Zhang D (1999). "Inference in Generalized Additive Mixed Models by Using Smoothing Splines." Journal of the Royal Statistical Society B, 61, 381-400.
27. Lindgren F, Rue H (2015). "Bayesian Spatial Modelling with R-INLA." Journal of Statistical Software, 63(19), 1-25. URL http://www.jstatsoft.org/v63/i19/.
28. Lunn DJ, Spiegelhalter D, Thomas A, Best N (2009). "The BUGS Project: Evolution, Critique and Future Directions." Statistics in Medicine, 28, 3049-3082. URL http://www.openbugs.info/.
29. Lunn DJ, Thomas A, Best N, Spiegelhalter D (2000). "WinBUGS - A Bayesian Modelling Framework: Concepts, Structure, and Extensibility." Statistics and Computing, 10, 325-337. URL http://www.mrc-bsu.cam.ac.uk/bugs/.
30. McCullagh P, Nelder JA (1989). Generalized Linear Models. 2nd edition. Chapman & Hall, London.
31. Pebesma EJ, Bivand RS (2005). "Classes and Methods for Spatial Data in R." R News, 5(2), 9-13. URL http://CRAN.R-project.org/doc/Rnews/.
32. Plummer M (2003). "JAGS: A Program for Analysis of Bayesian Graphical Models Using Gibbs Sampling." In K Hornik, F Leisch, A Zeileis (eds.), Proceedings of the 3rd International Workshop on Distributed Statistical Computing, Vienna, Austria. ISSN 1609-395X, URL http://www.ci.tuwien.ac.at/Conferences/DSC-2003/Proceedings/.
33. Plummer M, Best N, Cowles K, Vines K (2006). "coda: Convergence Diagnosis and Output Analysis for MCMC." R News, 6(1), 7-11. URL http://CRAN.R-project.org/doc/Rnews/.
34. R Core Team (2014). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. URL http://www.R-project.org/.
35. Rigby RA, Stasinopoulos DM (2005). "Generalized Additive Models for Location, Scale and Shape." Journal of the Royal Statistical Society C, 54(3), 507-554.
36. Rue H, Martino S, Chopin N (2009). "Approximate Bayesian Inference for Latent Gaussian Models Using Integrated Nested Laplace Approximations." Journal of the Royal Statistical Society B, 71(2), 319-392.
37. Ruppert D, Wand MP, Carrol RJ (2003). Semiparametric Regression. Cambridge University Press, New York.
38. Scheipl F (2011). "spikeSlabGAM: Bayesian Variable Selection, Model Choice and Regularization for Generalized Additive Mixed Models in R." Journal of Statistical Software, 43(14), 1-24. URL http://www.jstatsoft.org/v43/i14/.
39. Stabler B (2013). shapefiles: Read and Write ESRI Shapefiles. R package version 0.7, URL http://CRAN.R-project.org/package=shapefiles.
40. Stan Development Team (2014). "Stan: A C++ Library for Probability and Sampling, Version 2.4.0." URL http://mc-stan.org/.
41. Stasinopoulos DM, Rigby RA (2007). "Generalized Additive Models for Location Scale and Shape (GAMLSS) in R." Journal of Statistical Software, 23(7), 1-46. URL http://www.jstatsoft.org/v23/i07/.
42. Wand M (2013). SemiPar: Semiparametic Regression. R package version 1.0-4, URL http://CRAN.R-project.org/package=SemiPar.
43. Wood SN (2006). Generalized Additive Models: An Introduction with R. Chapman & Hall/CRC.
44. Wood SN (2011). "Fast Stable Restricted Maximum Likelihood and Marginal Likelihood Estimation of Semiparametric Generalized Linear Models." Journal of the Royal Statistical Society B, 73(3), 3-36.
45. Wood SN (2014). mgcv: GAMs with GCV/AIC/REML Smoothness Estimation and GAMMs by PQL. R package version 1.8-2, URL http://CRAN.R-project.org/package=mgcv.
46. Yee TW (2010). "The VGAM Package for Categorical Data Analysis." Journal of Statistical Software, 32(10), 1-34. URL http://www.jstatsoft.org/v32/i10/.
47. Yee TW, Wild CJ (1996). "Vector Generalized Additive Models." Journal of the Royal Statistical Society B, 58(3), 481-493.
48. Zeileis A, Hornik K, Murrell P (2009). "Escaping RGBland: Selecting Colors for Statistical Graphics." Computational Statistics & Data Analysis, 53, 3259-3270.