Displaying similar documents to “The support of ℒ ( ξ , η ) when the supports of ℒ ( η | ξ = x ) and ℒ ( ξ ) are given”

Two dimensional probabilities with a given conditional structure

Josef Štěpán, Daniel Hlubinka (1999)

Kybernetika

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A properly measurable set 𝒫 ⊂ X × M 1 ( Y ) (where X , Y are Polish spaces and M 1 ( Y ) is the space of Borel probability measures on Y ) is considered. Given a probability distribution λ ∈ M 1 ( X ) the paper treats the problem of the existence of X × Y -valued random vector ( ξ , η ) for which ℒ ( ξ ) = λ and ℒ ( η | ξ = x ) ∈ 𝒫 x λ -almost surely that possesses moreover some other properties such as “ ℒ ( ξ , η ) has the maximal possible support” or “ ℒ ( η | ξ = x ) ’s are extremal measures in 𝒫 x ’s”. The paper continues the research started in [7].

On duals of Calderón-Lozanovskiĭ intermediate spaces

Yves Raynaud (1997)

Studia Mathematica

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We give a description of the dual of a Calderón-Lozanovskiĭ intermediate space φ(X,Y) of a couple of Banach Köthe function spaces as an intermediate space ψ(X*,Y*) of the duals, associated with a "variable" function ψ.

The Markov property for generalized gaussian random fields

G. Kallianpur, V. Mandrekar (1974)

Annales de l'institut Fourier

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We obtain necessary and sufficient conditions in order that a Gaussian process of many parameters (more generally, a generalized Gaussian random field in R n ) possess the Markov property relative to a class of open sets. The method adopted is the Hilbert space approach initiated by Cartier and Pitt. Applications are discussed.