JSM 2004 Online Program

Abstract #301268

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Activity Number:	333
Type:	Topic Contributed
Date/Time:	Wednesday, August 11, 2004 : 10:30 AM to 12:20 PM
Sponsor:	Section on Bayesian Statistical Science
Abstract - #301268
Title:	Posterior Simulation with Polya Tree Priors
Author(s):	Ying Yang*+ and Peter Mueller
Companies:	University of Texas M.D. Anderson Cancer Center and University of Texas MD Anderson Cancer Center
Address:	1515 Holcombe Blvd., Houston, TX, 77030,
Keywords:	regression ; Polya tree ; Markov chain Monte Carlo
Abstract:	The error distribution in the standard regression model is modeled as a Polya tree prior constrained to have median 0. A noninformative prior is placed on the regression parameters. We discuss several alternative methods to implement posterior simulation: finite Polya tree, Polya tree predictive density, or Polya tree marginal density. Markov chain Monte Carlo algorithms are described for each approach.

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