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Factorization of Measures and Perfection
Proceedings of the American Mathematical Society
Vol. 97, No. 1 (May, 1986), pp. 30-32
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2046074
Page Count: 3
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It is proved that a probability measure P defined on a countably generated measurable space (Y, C) is perfect iff every probability measure on R × Y having P as marginal can be factored. This result leads to a generalization of a theorem due to Blackwell and Maitra.
Proceedings of the American Mathematical Society © 1986 American Mathematical Society