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- W2950454391 abstract "Let $X$ be a locally compact Abelian group, $Y$ be its character group. Following A. Kagan and G. Szekely we introduce a notion of $Q$-independence for random variables with values in $X$. We prove group analogues of the Cramer, Kac-Bernstein, Skitovich-Darmois and Heyde theorems for $Q$-independent random variables with values in $X$. The proofs of these theorems are reduced to solving some functional equations on the group $Y$." @default.
- W2950454391 created "2019-06-27" @default.
- W2950454391 creator A5020668017 @default.
- W2950454391 date "2017-03-19" @default.
- W2950454391 modified "2023-09-27" @default.
- W2950454391 title "Characterization theorems for $Q$-independent random variables with values in a locally compact Abelian group" @default.
- W2950454391 hasPublicationYear "2017" @default.
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