The Brunn-Minkowski Inequality in Gauss Space.
The convolution equation of Choquet and Deny on semigroups
The domain of attraction of a non-Gaussian stable distribution in a Hilbert space
The Existence of Dual Processes.
The fuzzy metric space based on fuzzy measure
In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.
The law of large numbers, examples and counterexamples.
The Order Aspect of the Fuzzy Real Line.
The Wold-Cramér concordance problem for Banach-space-valued stationary processes
Théorème central-limite pour le groupe des déplacements de
Théorème de convergence vers des lois stables pour une classe de chaînes de Markov
Théorèmes de Nikishin : théorèmes de factorisation pour les applications linéaires à valeurs dans un espace (suite et fin)
Théorèmes de Nikishin : théorèmes de factorisation pour les applications linéaires à valeurs dans un espace
Théorie spectrale d'un opérateur de transition sur un espace métrique compact
Thin and heavy tails in stochastic programming
Optimization problems depending on a probability measure correspond to many applications. These problems can be static (single-stage), dynamic with finite (multi-stage) or infinite horizon, single- or multi-objective. It is necessary to have complete knowledge of the “underlying” probability measure if we are to solve the above-mentioned problems with precision. However this assumption is very rarely fulfilled (in applications) and consequently, problems have to be solved mostly on the basis of...
Topics in Weak Convergence of Probability Measures
Topological algebras of random elements
Let L₀(Ω;A) be the Fréchet space of Bochner-measurable random variables with values in a unital complex Banach algebra A. We study L₀(Ω;A) as a topological algebra, investigating the notion of spectrum in L₀(Ω;A), the Jacobson radical, ideals, hulls and kernels. Several results on automatic continuity of homomorphisms are developed, including versions of well-known theorems of C. Rickart and B. E. Johnson.
Topological spaces with the strong Skorokhod property.
Topologies on Spaces of Vector-Valued Continuous Functions. II.
Transformation of gaussian measures
Trivial bundles of spaces of probability measures and countable-dimensionality
The probability measure functor P carries open continuous mappings of compact metric spaces into Q-bundles provided Y is countable-dimensional and all fibers are infinite. This answers a question raised by V. Fedorchuk.