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Lookup NU author(s): Dr Cristiano Villa
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This paper is concerned with the well known Jeffreys–Lindley paradox. In a Bayesian set up, the so-called paradox arises when a point null hypothesis is tested and an objective prior is sought for the alternative hypothesis. In particular, the posterior for the null hypothesis tends to one when the uncertainty, i.e., the variance, for the parameter value goes to infinity. We argue that the appropriate way to deal with the paradox is to use simple mathematics, and that any philosophical argument is to be regarded as irrelevant.
Author(s): Villa C, Walker SG
Publication type: Article
Publication status: Published
Journal: Communications in Statistics - Theory and Methods
Online publication date: 06/09/2017
Acceptance date: 09/02/2017
ISSN (print): 0361-0926
ISSN (electronic): 1532-415X
Publisher: Taylor & Francis Inc.
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