On the Skitovich--Darmois Theorem for Discrete Abelian Groups

DOI10.1137/S0040585X97981238zbMath1094.60003OpenAlexW1979133322MaRDI QIDQ5700650

Piotr Graczyk, Gennadiy Feldman

Publication date: 28 October 2005

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97981238

zbMATH Keywords

Gaussian random variableidempotent distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (6)

Skitovich-Darmois theorem for discrete and compact totally disconnected abelian groups ⋮ On the Skitovich-Darmois theorem for the group of \(p\)-adic numbers ⋮ THE SKITOVICH–DARMOIS THEOREM FOR LOCALLY COMPACT ABELIAN GROUPS ⋮ Skitovich-Darmois theorem for finite abelian groups ⋮ Independent linear forms on the group \(\Omega_p\) ⋮ Independent linear forms on connected Abelian groups

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