Publication at Faculty of Mathematics and Physics |
2020
Abstract
Characterizations of scale mixtures of normal, stable, and some other laws are obtained in the case of symmetrically dependent random variables. Symmetrically dependent random variables are studied for a special case of scale dependence.
Conditions of unique (and nonunique) representation of a sequence of random variables as that of symmetrically dependent ones are given. Some variants of the Linnik and Polya theorems are given.