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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Factorization of probability measures and absolutely measurable sets


Authors: David Blackwell and Ashok Maitra
Journal: Proc. Amer. Math. Soc. 92 (1984), 251-254
MSC: Primary 28A50; Secondary 60A10
DOI: https://doi.org/10.1090/S0002-9939-1984-0754713-3
MathSciNet review: 754713
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Abstract: We find necessary and sufficient conditions for a separable metric space $ Y$ to possess the property that for any measurable space $ \left( {X,\mathcal{A}} \right)$ and probability measure $ P$ on $ X \times Y$, $ P$ can be factored.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0754713-3
Keywords: Probability measure, product space, transition function, factorization, absolutely measurable set, prior distribution, posterior distribution
Article copyright: © Copyright 1984 American Mathematical Society