April 11, 2022

Recovering a Prior from a Posterior: Some Parameterizations of Jeffrey Conditioning

Abstract

Given someone’s fully specified posterior probability distribution q and information about the revision method that they employed to produce q, what can you infer about their prior probabilistic commitments? This question provides an entrée into a thoroughgoing discussion of a class of parameterizations of Jeffrey conditioning in which the parameters furnish information above and beyond that incorporated in
\(q\)
. Our analysis highlights the ubiquity of Bayes factors (ratios of new to old odds) in the study of probability revision.

April 11, 2022 at 04:21PM

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