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A resolution of the Borel-Kolmogorov Paradox via the Maximum Entropy Principle

Trésor, Raphaël et al.
arXiv (All) · Papers
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statistics-theory
Bayesian updating routinely conditions on events of prior probability zero, such as an exact observation of a continuous parameter or a parameter confined to a submanifold. Two equally natural parametrizations of the same event can then return different posteriors, which is the Borel--Kolmogorov par
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