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A properly measurable set $𝒫 \subset X \times M_{1} (Y)$ (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 $λ \in M_{1} (X)$ the paper treats the problem of the existence of $X \times Y$ -valued random vector $(ξ, η)$ for which $ℒ (ξ) = λ$ and $ℒ (η | ξ = x) \in 𝒫_{x}$ $λ$ -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...

Uniqueness and approximate computation of optimal incomplete transportation plans

P. C. Álvarez-Esteban, E. del Barrio, J. A. Cuesta-Albertos, C. Matrán (2011)

Annales de l'I.H.P. Probabilités et statistiques

For α∈(0, 1) an α-trimming, P∗, of a probability P is a new probability obtained by re-weighting the probability of any Borel set, B, according to a positive weight function, f≤1/(1−α), in the way P∗(B)=∫Bf(x)P(dx). If P, Q are probability measures on euclidean space, we consider the problem of obtaining the best L2-Wasserstein approximation between: (a) a fixed probability and trimmed versions of the other; (b) trimmed versions of both probabilities. These best trimmed approximations naturally...

Устойчивость теоремы о единственности вероятностной меры в $ℝ^{n}$ с заданными значениями ее на сдвигах некоторого множества

Н.А. Сапогов (1977)

Zapiski naucnych seminarov Leningradskogo

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The degree of progress to goal during self-organization process

The dynamics of $F$ -quantum spaces

The Fréchet transform.

The measure extension theorem for subadditive measures in $σ$ -continuous logics

The return time theorem fails on infinite measure-preserving systems

The support of $ℒ (ξ, η)$ when the supports of $ℒ (η | ξ = x)$ and $ℒ (ξ)$ are given

The weak Radon-Nikodym property

The Zero-one law for Products of Internal *-finitely Additive Probabiltty Spaces

Theorems on lower semicontinuity and relaxation for integrands with fast growth.

Translation invariance and finite additivity in a probability measure on the natural numbers.

Two dimensional probabilities with a given conditional structure

Uniqueness and approximate computation of optimal incomplete transportation plans

Vervaat et Lévy

Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities

Дезинтегрирование возрастающих доминируемых сублинейных функционалов на пространстве измеримых функций

Математическое ожидание непрерывных функций случайных величин, гладкость и дисперсия

О вероятностях умеренных уклонений

О независимости подалгебр и разбиений

Об условиях абсолютной непрерывности вероятностных мер

Устойчивость теоремы о единственности вероятностной меры в $ℝ^{n}$ с заданными значениями ее на сдвигах некоторого множества

Currently displaying 101 – 120 of 120