JSM 2005 - Toronto

Abstract #304748

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 271
Type: Contributed
Date/Time: Tuesday, August 9, 2005 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #304748
Title: Estimation and Model Choice in Nonparametric Additive Regression
Author(s): Ivan Jeliazkov*+ and Siddhartha Chib
Companies: University of California, Irvine and Washington University in St. Louis
Address: 3151 Social Science Plaza, Irvine, CA, 92697-5100, United States
Keywords: Additive models ; Bayes factor ; Marginal likelihood ; Markov chain Monte Carlo ; Gibbs sampling ; model comparison
Abstract:

This article revisits the Bayesian inferential problem for the important class of nonparametric additive models. We propose a new identification restriction on the unknown covariate functions under which the model can be estimated efficiently by Markov chain Monte Carlo simulation techniques. In contrast to previous discussions in the literature, our estimation procedure is based on proper smoothness priors on the unknown functions. This opens the way for model comparisons on the basis of marginal likelihoods and Bayes factors. A simulation study is used to illustrate the performance of the proposed techniques. The entire methodology is conveniently adapted to generalized additive models for both nonclustered and clustered data.


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