45 citations · 152 across the 64 of their papers we have counts for
83 papers
On variation functions of lacunary series
Matyas Barczy, Peter Kern
We study variation functions of some lacunary series along the sequence of -adic partitions, where is an integer. By such a lacunary series, we mean that in the definition…
Expected loss of quasi-arithmetic means of exchangeable random variables
Matyas Barczy, Zsolt Páles
The purpose of this paper is to establish certain relationships between the theories of means (aggregation functions) and loss functions. Namely, we derive sufficient conditions un…
Distributional properties of first jump times of CBI processes with jump sizes in given Borel sets
Matyas Barczy, Sandra Palau, Yao Xue
We derive an expression for the joint distribution function of the first jump times of a continuous state and continuous time branching process with immigration (CBI process) with…
Jensen convex functions and doubly stochastic matrices
Matyas Barczy, Zsolt Páles
Given an nxn doubly stochastic matrix P satisfying an appropriate condition of linear algebraic-type, and a function f defined on a nonempty interval, we show that the validity of…
A convexity-type functional inequality with infinite convex combinations
Matyas Barczy, Zsolt Páles
Given a function defined on a nonempty and convex subset of the -dimensional Euclidean space, we prove that if is bounded from below and it satisfies a convexity-type fu…
A series of definite integrals involving upper incomplete Gamma functions
Matyas Barczy, István Mező
Using probability theory we derive an expression for the sum of a series of definite integrals involving upper incomplete Gamma functions. In the proof, a normal variance mixture d…