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Activity Number: 241
Type: Contributed
Date/Time: Tuesday, August 8, 2006 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #307331
Title: Bayesian Inference with Matching Priors
Author(s): Ana-Maria Staicu*+
Companies: University of Toronto
Address: 100 St. George Street, TORONTO, ON, M5S 3G3, Canada
Keywords: matching priors ; orthogonal parameters ; higher order approximations ; uninformative priors ; approximate Bayesian inference ; logistic model
Abstract:

Matching priors are a natural choice in the absence of specific prior information, since they lead to inferences equivalent to frequentist inferences to the second order. We use the Tibshirani (1989) class of uninformative priors for orthogonal component parameters in exponential family models. A numerical study compares posterior tail probabilities, using this class of priors, with the frequentist first and higher-order counterpart p-values using conditional inference. The extension of this to more general models is explored and some directions are indicated.

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