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Objective Bayesian Model Selection in Generalized Additive Models With Penalized Splines
| Content Provider | Scilit |
|---|---|
| Author | Bové, Daniel Sabanés Held, Leonhard Kauermann, Göran |
| Copyright Year | 2015 |
| Description | We propose an objective Bayesian approach to the selection of covariates and their penalized splines transformations in generalized additive models. The methodology is based on a combination of continuous mixtures of g-priors for model parameters and a multiplicity-correction prior for the models themselves. We introduce our approach in the normal model and extend it to nonnormal exponential families. A simulation study and an application with binary outcome is provided. An efficient implementation is available in the R package hypergsplines. Supplementary materials for this article are available online. |
| Related Links | http://www.zora.uzh.ch/id/eprint/115536/1/dissPaper2.pdf |
| Ending Page | 415 |
| Page Count | 22 |
| Starting Page | 394 |
| ISSN | 10618600 |
| e-ISSN | 15372715 |
| DOI | 10.1080/10618600.2014.912136 |
| Journal | Journal of Computational and Graphical Statistics |
| Issue Number | 2 |
| Volume Number | 24 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2015-04-03 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Computational and Graphical Statistics Statistics and Probability Function Selection G-prior Shrinkage Stochastic Search Variable Selection |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Discrete Mathematics and Combinatorics Statistics, Probability and Uncertainty |