Wyniki wyszukiwania

1

Mass transport problem and derivation

100%

Belili N., Heinich H.

Applicationes Mathematicae

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1999

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tom 26

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nr 3

299-314

EN

A characterization of the transport property is given. New properties for strongly nonatomic probabilities are established. We study the relationship between the nondifferentiability of a real function f and the fact that the probability measure $λ_{f*}:=λ◦(f*)^{-1}$, where f*(x):=(x,f(x)) and λ is the Lebesgue measure, has the transport property.

2

Median for metric spaces

100%

Belili N., Heinich H.

Applicationes Mathematicae

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2001

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tom 28

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nr 2

191-209

EN

We consider a Köthe space $(𝔼,||·||_𝔼)$ of random variables (r.v.) defined on the Lebesgue space ([0,1],B,λ). We show that for any sub-σ-algebra ℱ of B and for all r.v.'s X with values in a separable finitely compact metric space (M,d) such that d(X,x) ∈ 𝔼 for all x ∈ M (we then write X ∈ 𝔼(M)), there exists a median of X given ℱ, i.e., an ℱ-measurable r.v. Y ∈ 𝔼(M) such that $||d(X,Y)||_𝔼 ≤ ||d(X,Z)||_𝔼$ for all ℱ-measurable Z. We develop the basic theory of these medians, we show the convergence of empirical medians and we give some applications.

3

Applications de dualité dans les espaces de Köthe

50%

Bru B., Heinich H.

Studia Mathematica

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1989

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tom 93

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nr 1

41-69

Ograniczanie wyników

2 Applicationes Mathematicae

1 Studia Mathematica

3 Heinich H.

2 Belili N.

1 Bru B.

1 2001

1 1999

1 1989

Mass transport problem and derivation

Median for metric spaces

Applications de dualité dans les espaces de Köthe