Bayes and empirical-Bayes multiplicity adjustment in the variable-selection problem
- đ¤ Speaker: James Scott, Duke University
- đ Date & Time: Friday 13 March 2009, 16:00 - 17:00
- đ Venue: MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
Abstract
In this talk, I will present a theorem that characterizes a surprising discrepancy between fully Bayes and empirical-Bayes approaches to multiplicity adjustment in linear regression. This discrepancy arises from a different source than the failure to account for uncertainty in the empirical-Bayes estimate, which is the usual issue in such problems. Indeed, I will show that even at the extreme, when the empirical-Bayes estimate converges asymptotically to the true parameter value, the potential for a serious difference remains.
I will also highlight some interesting examples of Bayesian multiplicity adjustment on large data sets, with particular attention to a business application that involves large-scale screening of functional data.
Series This talk is part of the Statistics series.
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James Scott, Duke University
Friday 13 March 2009, 16:00-17:00