2 citations · 2 across the 5 of their papers we have counts for
7 papers
The Kagan characterization theorem on Banach spaces
Margaryta Myronyuk
A. Kagan introduced classes of distributions in -dimensional space . He proved that if the joint distribution of linear forms of indepe…
The Heyde theorem on a group , where is a discrete Abelian group
Margaryta Myronyuk
Heyde proved that a Gaussian distribution on the real line is characterized by the symmetry of the conditional distribution of one linear statistic given another. The present artic…
On a group analogue of the Heyde theorem
Margaryta Myronyuk
Heyde proved that a Gaussian distribution on a real line is characterized by the symmetry of the conditional distribution of one linear form given another. The present article is d…
Characterization theorems for Q-independent random variables in Banach spaces
Margaryta Myronyuk
Characterization theorems for Q-independent random variables in Banach spaces
On the Skitovich-Darmois theorem for some locally compact Abelian groups
Gennadiy Feldman, Margaryta Myronyuk
Let be a locally compact Abelian group, be topological automorphisms of . Let be independent random variables with values in and distributions $μ…
Characterization of distributions of -independent random variables on locally compact Abelian groups
Margaryta Myronyuk
Let be a second countable locally compact Abelian group. We prove some group analogues of the Skitovich--Darmois, Heyde and Kac--Bernstein characterisation theorems for -ind…