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math.PR2022
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…
math.PR2019
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…
math.PR2019
Characterization theorems for Q-independent random variables in Banach spaces
Margaryta Myronyuk
Characterization theorems for Q-independent random variables in Banach spaces
math.PR2017★ 2 cited
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…