Reporting Bayes factors or probabilities to decision makers of unknown loss functions

David R. Bickel

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 9, 2163-2174

Abstract: When competing interests seek to influence a decision maker, a scientist must report a posterior probability or a Bayes factor among those consistent with the evidence. The disinterested scientist seeks to report the value that is least controversial in the sense that it is best protected from being discredited by one of the competing interests. If the loss function of the decision maker is not known but can be assumed to satisfy two invariance conditions, then the least controversial value is a weighted generalized mean of the upper and lower bounds of the interval.

Date: 2019
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DOI: 10.1080/03610926.2018.1459713

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