Factorization of measures and perfection
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- by Wolfgang Adamski PDF
- Proc. Amer. Math. Soc. 97 (1986), 30-32 Request permission
Abstract:
It is proved that a probability measure $P$ defined on a countably generated measurable space $\left ( {Y,\mathcal {C}} \right )$ is perfect iff every probability measure on ${\mathbf {R}} \times Y$ having $P$ as marginal can be factored. This result leads to a generalization of a theorem due to Blackwell and Maitra.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 30-32
- MSC: Primary 28A50; Secondary 28A12, 60A10
- DOI: https://doi.org/10.1090/S0002-9939-1986-0831381-5
- MathSciNet review: 831381