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Activity Number: 486
Type: Invited
Date/Time: Thursday, August 2, 2007 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #308028
Title: Bayesian Semiparametric Modeling Based on Mixtures of Polya Trees
Author(s): Timothy E. Hanson*+
Companies: The University of Minnesota
Address: Div. of Biostatistics, A460 Mayo Building, MMC 303, Minneapolis, MN, 55455,
Keywords: Nonparametric ; mixed model
Abstract:

Relative to Dirichlet process mixtures (DPM) and other nonparametric prior processes, the Polya tree and mixtures of Polya tree (MPT) priors have seen relatively limited use. In this talk I will briefly provide some background on MPTs and implementation notes, then move on to a number of real data examples where the MPT model improves prediction relative to a parametric model or equivalent DPM model. Examples will include survival models with time dependent longitudinal trajectories, survival models with spatial frailties, diagnostic serology test data modeled subject to a stochastic order constraint, dependent Polya tree processes, and Polya tree mixtures for meta-analysis in non-normal settings.


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Revised September, 2007