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math.PR2026
Existence of measurable versions of stochastic processes
Kazimierz Musiał
Let $(X, \mfA,P)$, $(Y, \mfB,Q)$ be two arbitrary probability spaces and $¶:=\{(\mfA,P_y):y\in{Y}\}$ be a regular conditional probability (rcp) on $\mfA$ with respect to . Denot…
math.PR2026
Splitting of Liftings in Product Spaces II
Kazimierz Musial
Let $(X, \mfA,P)$ and $(Y, \mfB,Q)$ be two probability spaces, be their skew product on the product -algebra $\mfA\otimes\mfB$ and $\{(\mfA_y,S_y)\colon y\in{Y}\}$ be a -…
math.PR2005★ 8 cited
Splitting of liftings in products of probability spaces
W. Strauss, N. D. Macheras, K. Musial
We prove that if (X,\mathfrakA,P) is an arbitrary probability space with countably generated σ-algebra \mathfrakA, (Y,\mathfrakB,Q) is an arbitrary complete probability space with…