206
Views
13
CrossRef citations to date
0
Altmetric
Theory and Method

Bayesian Regression Modeling with Interactions and Smooth Effects

Pages 795-806 | Received 01 Jul 1998, Published online: 17 Feb 2012

References

  • Breiman , L. 1996 . “Bagging Predictors” . Machine Learning , 26 : 123 – 140 .
  • Chipman , H. , George , E. and McCulloch , R. 1998 . “Bayesian CART Model Search” . Journal of the American Statistical Association , 93 : 935 – 960 . (with discussion)
  • Clyde , M. 1999 . “Bayesian Model Averaging and Model Search Strategies,” . In Bayesian Statistics 6 , Edited by: Bernardo , J. M. , Berger , J. O. , Dawid , A. P. and Smith , A. F. M. New York : Oxford University Press .
  • Clyde , M. , DeSimone , H. and Parmigiani , G. 1996 . “Prediction via Orthogonalized Model Mixing” . Journal of the American Statistical Association , 91 : 1197 – 1208 .
  • Denison , D. G. T. , Mallick , B. K. and Smith , A. F. M. 1998a . “A Bayesian CART Algorithm” . Biometrika , 85 : 363 – 377 .
  • Denison , D. G. T. , Mallick , B. K. and Smith , A. F. M. 1998b . “Automatic Bayesian Curve Fitting” . Journal of the Royal Statistical Society , 60 : 333 – 350 . Ser. B
  • Denison , D. G. T. , Mallick , B. K. and Smith , A. F. M. 1998c . “Bayesian MARS” . Statistics and Computing , 8 : 337 – 346 .
  • Ein-Dor , P. and Feldmesser , J. 1987 . “Attributes of the Performance of Central Processing Units: A Relative Performance Prediction Model” . Communications of the Association for Computing Machinery , 30 : 308 – 317 .
  • Fernandez , C. , Ley , E. and Steel , M. F. J. 1998 . “Benchmark Priors for Bayesian Model Averaging,” , Madrid : FEDEA . Documento de Trabajo 98–06
  • Friedman , J. H. 1991 . “Multivariate Adaptive Regression Splines” . The Annals of Statistics , 19 : 1 – 141 . (with discussion)
  • George , E. I. and McCulloch , R. 1993 . “Variable Selection via Gibbs Sampling” . Journal of the American Statistical Association , 88 : 881 – 889 .
  • George , E. I. and McCulloch , R. 1997 . “Approaches for Bayesian Variable Selection” . Statistica Sinica , 7 : 339 – 373 .
  • Green , P. J. and Silverman , B. W. 1994 . Nonparametric Regression and Generalized Linear Models , London : Chapman and Hall .
  • Harrison , D. and Rubinfield , D. L. 1978 . “Hedonic House Prices and the Demand for Clean Air” . Journal of Environmental Economics and Management , 5 : 81 – 102 .
  • Hastie , T. and Tibshirani , R. 1990 . Generalized Additive Models , New York : Chapman and Hall .
  • Hastie , T. and Tibshirani , R. 1993 . “Varying Coefficient Models” . Journal of the Royal Statistical Society , 55 : 757 – 796 . (with discussion), Ser. B
  • Hastie , T. and Tibshirani , R. 2000 . “Bayesian Backfitting” . Statistical Science , 15 (with discussion), to appear
  • Hoeting , J. A. , Madigan , D. , Raftery , A. E. and Volinsky , C. T. 1999 . “Bayesian Model Averaging: A Tutorial” . Statistical Science , 14 : 382 – 417 . (with discussion)
  • Kass , R. E. and Wasserman , L. 1995 . “A Reference Bayesian Test for Nested Hypotheses and Its Relationship to the Schwarz Criterion” . Journal of the American Statistical Association , 90 : 928 – 934 .
  • LeBlanc , M. 1995 . “An Adaptive Expansion Method for Regression” . Statistica Sinica , 5 : 737 – 748 .
  • Madigan , D. and York , J. 1995 . “Bayesian Graphical Models for Discrete Data” . International Statistical Review , 63 : 215 – 232 .
  • Neal , R. M. 1996 . Bayesian Learning for Neural Networks , New York : Springer-Verlag .
  • Neal , R. M. 1999 . “Regression and Classification using Gaussian Process Priors” . In Bayesian Statistics 6 , Edited by: Bernardo , J. M. , Berger , J. O. , Dawid , A. P. and Smith , A. F. M. 475 – 501 . New York : Oxford University Press . (with discussion)
  • Raftery , A. E. , Madigan , D. M. and Hoeting , J. 1997 . “Model Selection and Accounting for Model Uncertainty in Linear Regression Models” . Journal of the American Statistical Association , 92 : 179 – 191 .
  • Raftery , A. E. , Madigan , D. M. and Volinsky , C. T. 1996 . “Accounting for Model Uncertainty in Survival Analysis Improves Predictive Performance,” . In Bayesian Statistics 5 , Edited by: Bernardo , J. , Berger , J. , Dawid , A. and Smith , A. 323 – 349 . New York : Oxford University Press . (with discussion)
  • Shively , T. S. , Kohn , R. and Wood , S. 1999 . “Variable Selection and Function Estimation in Additive Nonparametric Regression Using a Data-Based Prior” . Journal of the American Statistical Association , 94 : 777 – 806 .
  • Smith , A. F. M. and Spiegelhalter , D. J. 1980 . “Bayes Factors and Choice Criteria for Linear Models” . Journal of the Royal Statistical Society , 42 : 213 – 220 . Ser. B
  • Smith , M. and Kohn , R. 1996 . “Nonparametric Regression Using Bayesian Variable Selection” . Journal of Econometrics , 75 : 317 – 344 .
  • Smith , M. and Kohn , R. 1997 . “A Bayesian Approach to Nonparametric Bivariate Regression” . Journal of the American Statistical Association , 92 : 1522 – 1535 .
  • Venables , W. N. and Ripley , B. D. 1997 . Modern Applied Statistics With S-PLUS, , 2nd ed. , New York : Springer .
  • Zellner , A. 1986 . “On Assessing Prior Distributions and Bayesian Regression Analysis With g-Prior Distributions,” . In Bayesian Inference and Decision Techniques: Essays in Honour of Bruno de Finetti , Edited by: Goel , P. K. and Zellner , A. 233 – 243 . Amsterdam : North-Holland .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.