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math.PR2026
A Group Analogue of the Ghurye--Olkin--Ibragimov Theorem
Gennadiy Feldman
According to the classical Skitovich--Darmois theorem, the Gaussian distribution on the real line is characterized by the independence of two linear forms of a finite number of ind…
math.PR2026
An Analogue of Heyde's Theorem for Discrete Torsion Abelian Groups with Cyclic -Components
Gennadiy Feldman
According to the well-known Heyde theorem, the Gaussian distribution on the real line is characterized by the symmetry of the conditional distribution of one linear form of ind…