A counterexample on generalized convolutions
A Gauss-Kuzmin-Lévy theorem for a certain continued fraction.
A general bounded continuous moment problem and its sets of uniqueness
A noncompact Choquet theorem
A Note on Quasicontinuous Kernels Representing Quasi-Linear Positive Maps.
A probabilistic ergodic decomposition result
Let be a standard probability space. We say that a sub-σ-algebra of decomposes μ in an ergodic way if any regular conditional probability with respect to andμ satisfies, for μ-almost every x∈X, . In this case the equality , gives us an integral decomposition in “-ergodic” components. For any sub-σ-algebra of , we denote by the smallest sub-σ-algebra of containing and the collection of all setsAin satisfyingμ(A)=0. We say that isμ-complete if . Let be a non-empty family...
A property of doubly stochastic densities
A remark on metrics for finitely additive distribution functions.
A remark on Slutsky's theorem
A solution of an equation for indexed functions
A version of the strong law of large numbers universal under mappings
About the density of spectral measure of the two-dimensional SaS random vector
In this paper, we consider a symmetric α-stable p-sub-stable two-dimensional random vector. Our purpose is to show when the function is a characteristic function of such a vector for some p and α. The solution of this problem we can find in [3], in the language of isometric embeddings of Banach spaces. Our proof is based on simple properties of stable distributions and some characterization given in [4].
An addendum to a remark on Slutsky's theorem
An Alpern tower independent of a given partition
Given a measure-preserving transformation T of a probability space (X,ℬ,μ) and a finite measurable partition ℙ of X, we show how to construct an Alpern tower of any height whose base is independent of the partition ℙ. That is, given N ∈ ℕ, there exists a Rokhlin tower of height N, with base B and error set E, such that B is independent of ℙ, and TE ⊂ B.
An application of a functional equation to information theory
An axiomatization of extensional probability measures
An integral representation of randomized probabilities and its applications
Approximate dilations
Atoms of characteristic measures