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2009 New axioms for rigorous Bayesian probability
Maurice J. Dupré, Frank J. Tipler
Bayesian Anal. 4(3): 599-606 (2009). DOI: 10.1214/09-BA422


By basing Bayesian probability theory on five axioms, we can give a trivial proof of Cox's Theorem on the product rule and sum rule for conditional plausibility without assuming continuity or differentiablity of plausibility. Instead, we extend the notion of plausibility to apply to unknowns, giving them plausible values. Thus, we combine the best aspects of two approaches to Bayesian probability theory, namely the Cox-Jaynes theory and the de Finetti theory.


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Maurice J. Dupré. Frank J. Tipler. "New axioms for rigorous Bayesian probability." Bayesian Anal. 4 (3) 599 - 606, 2009.


Published: 2009
First available in Project Euclid: 22 June 2012

zbMATH: 1330.62044
MathSciNet: MR2551047
Digital Object Identifier: 10.1214/09-BA422

Keywords: Axiomatic Bayesian Probability , Cox , de Finetti , Jaynes , Product Rule , Sum Rule

Rights: Copyright © 2009 International Society for Bayesian Analysis


Vol.4 • No. 3 • 2009
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