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Splitting of Liftings in Products of Probability Spaces

Splitting of Liftings in Products of Probability Spaces

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1091813617

Splitting of Liftings in Products of Probability Spaces

About this item

Full title

Splitting of Liftings in Products of Probability Spaces

Publisher

Hayward, CA: Institute of Mathematical Statistics

Journal title

The Annals of probability, 2004-07, Vol.32 (3), p.2389-2408

Language

English

Formats

Publication information

Publisher

Hayward, CA: Institute of Mathematical Statistics

More information

Scope and Contents

Contents

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...

Alternative Titles

Full title

Splitting of Liftings in Products of Probability Spaces

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1091813617

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1091813617

Other Identifiers

ISSN

0091-1798

E-ISSN

2168-894X

DOI

10.1214/009117904000000018

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