2 citations · 2 across the 8 of their papers we have counts for
12 papers
The Klebanov theorem for the group
Margaryta Myronyuk
L. Klebanov proved the following theorem. Let be independent random variables. Consider linear forms $L_3=…
Identically distributed random vectors on locally compact Abelian groups
Margaryta Myronyuk
L. Klebanov proved the following theorem. Let be independent random variables. Consider linear forms $L_3=…
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…
Independent linear forms on the group
Margaryta Myronyuk
Let be the group of -adic numbers, , , be independent random variables with values in and distributions , , . Let be…
On a characterization of idempotent distributions on discrete fields and on the field of p-adic numbers
G. M. Feldman, M. V. Myronyuk
We prove the following theorem. Let be a discrete field, and be independent identically distributed random variables with values in and distribution . The random…
Random walks on discrete Abelian groups
Margaryta Myronyuk
In the present paper we find necessary and sufficient conditions for recurrence of random walks on arbitrary subgroups of the group of rational numbers .
The Heyde Theorem on a-adic Solenoids
Margaryta Myronyuk
We prove the analogue of the Heyde theorem for a-adic solenoids.