19 citations · 113 across the 18 of their papers we have counts for
5 papers · 1 filter
Fock space associated with quadrabasic Hermite orthogonal polynomials
Wiktor Ejsmont
This paper introduces a new idea for constructing operators associated with a certain class of probability measures. Special cases include several know classical and noncommutative…
Type B Gaussian Statistics as Noncommutative Central Limits
Natasha Blitvić, Wiktor Ejsmont
We show that the noncommutative central limit theorem of Speicher can be adapted to produce the Gaussian statistics associated to Coxeter groups of type B, in the sense of Bożejko,…
Central limit theorem associated to Gaussian operators of type B
Wiktor Ejsmont
In this article we formulate the CLT associated to Gaussian operators of type B -- see \cite{BEH15}, where important role is played by colored pair partitions. Then we present a ce…
A Characterization of the Normal Distribution by the Independence of a Pair of Random Vectors
Wiktor Ejsmont
Kagan and Shalaevski 1967 have shown that if the random variables are independent and identically distributed and the distribution of $a_i…
Characterizations of some free random variables by properties of conditional moments of third degree polynomials
Wiktor Ejsmont
We investigate Laha-Lukacs properties of noncommutative random variables (processes). We prove that some families of free Meixner distributions can be characterized by the conditio…