PL EN


2014 | 1 | 1-31
Article title

Divergent Priors and Well Behaved Bayes Factors

Content
Title variants
Languages of publication
EN
Abstracts
EN
Bartlett’s paradox has been taken to imply that using improper priors results in Bayes factors that are not well defined, preventing model comparison in this case. We use well understood principles underlying what is already common practice, to demonstrate that this implication is not true for some improper priors, such as the Shrinkage prior due to Stein (1956). While this result would appear to expand the class of priors that may be used for computing posterior odds, we warn against the straightforward use of these priors. Highlighting the role of the prior measure in the behaviour of Bayes factors, we demonstrate pathologies in the prior measures for these improper priors. Using this discussion, we then propose a method of employing such priors by setting rules on the rate of diffusion of prior certainty.
Year
Volume
1
Pages
1-31
Physical description
Dates
accepted
2012-03-22
received
2014-02-20
Contributors
References
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.desklight-3377d715-e011-4b19-9736-fa056061e071
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.