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Commuting probability revisions: The uniformity rule - MaRDI portal

Commuting probability revisions: The uniformity rule (Q1430122)

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scientific article; zbMATH DE number 2069113
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Commuting probability revisions: The uniformity rule
scientific article; zbMATH DE number 2069113

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    Commuting probability revisions: The uniformity rule (English)
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    27 May 2004
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    The paper deals with the commutativity of probability revisions for purely atomic \(\sigma\)-algebras. The main result (Theorem 2.1) states that under some natural conditions on Bayes factors the probability revisions satisfy a so-called commutativity principle. This generalizes earlier results by \textit{H. Field} [Philosophy of Science 45, 361--367 (1978)], \textit{R. Jeffrey} [Philos. Studies 77, 97--102 (1995)], and \textit{C. Wagner} [Philosophy of Science 69, 266--278 (2002)].
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    commuting probability revisions
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    probability factor
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    Bayes factor
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    conditional Bayes factor
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