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Activity Number: 247
Type: Invited
Date/Time: Tuesday, August 5, 2008 : 10:30 AM to 12:20 PM
Sponsor: Council of Chapters
Abstract - #300066
Title: Sparse Modeling of Conditional Response Distributions with Many Predictors
Author(s): David Dunson*+
Companies: Duke University
Address: Department of Statistical Science, Durham, NC, 27708-0251,
Keywords: Nonparametric Bayes ; Variable selection ; Density regression ; Shrinkage ; Quantile regression ; Large p, small n
Abstract:

There is an increasingly rich literature on methods for accommodating high-dimensional predictors in regression, either to identify promising subsets of important predictors or for prediction. Such methods almost always focus on a mean regression setting in which the predictors are related to the mean of the response variable, with the residual distribution assumed to be constant or possibly changing according to a parametric model. Our focus is on using nonparametric Bayes methods to flexibly model the conditional response distribution, allowing the different quantiles of the distribution to change differentially with a high-dimensional set of candidate predictors. We propose an approach based on the kernel stick-breaking process, and illustrate the method with epidemiologic applications.


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Revised September, 2008