Splitting of Liftings in Products of Probability Spaces
Splitting of Liftings in Products of Probability Spaces
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Hayward, CA: Institute of Mathematical Statistics
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English
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Hayward, CA: Institute of Mathematical Statistics
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We prove that if (X, A, P) is an arbitrary probability space with countably generated σ-algebra A, (Y, B, Q) is an arbitrary complete probability space with a lifting ρ and$\widehat{R}$is a complete probability measure on$\germ{A}\widehat{\otimes}_{R}\germ{B}$determined by a regular conditional probability {Sy: y∈ Y} on A with respect to B, then th...
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Splitting of Liftings in Products of Probability Spaces
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TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1091813617
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1091813617
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ISSN
0091-1798
E-ISSN
2168-894X
DOI
10.1214/009117904000000018