Record Details

The Bias in Bayes and How to Measure it

Pakistan Journal of Statistics and Operation Research

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Field Value
 
Title The Bias in Bayes and How to Measure it
 
Creator Fraser, D.A. S.; Department of Statistics
University of Toronto, Toronto
Ontario, Canada M5S 3G3
 
Subject Statistics
Asymptotics; Bayes bias; High dimensional; Likelihood analysis;

 
Description A Bayes prior with a likelihood can give approximate confidence and provide a remarkably flexible approach to statistical inference; but is also known to provide inaccurate perhaps incorrect results. We develop a measure of Bayes bias, first examining a simple Normal model and then progressing to quite general models with scalar and vector parameters. The Bias measure can be interpreted as the lateral displacement of the location standardized likelihood function and thus provides ready access to the effect of a prior on p-values, confidence bounds, and Bayes posterior bounds. The needed computation is comparable to that for the likelihood function and thus provides an initial option for checking merits of Bayesian computation for high dimensions.
 
Publisher College of Statistical and Actuarial Sciences
 
Contributor
 
Date 2012-07-01
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://www.pjsor.com/index.php/pjsor/article/view/512
10.18187/pjsor.v8i3.512
 
Source Pakistan Journal of Statistics and Operation Research; Vol 8. No. 3, 2012; 345-352
2220-5810
1816-2711
 
Language eng
 
Relation http://www.pjsor.com/index.php/pjsor/article/view/512/245