On the Skitovich-Darmois theorem for connected abelian groups

DOI10.1134/S1064562409010037zbMath1320.60018OpenAlexW2033889991MaRDI QIDQ1760922

Gennadiy Feldman, Margaryta Myronyuk

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562409010037

zbMATH Keywords

linear formsindependent random variablesGaussian random variablesGaussian distributionsconnected locally compact abelian groupconvolution semigroup of probability distributions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• Unnamed Item
• Unnamed Item
• A characterization of the Gaussian distribution on Abelian groups
• On the Skitovich-Darmois theorem for compact Abelian groups
• Independent variables with independent sum and difference: \(S{^ 1}\)- case
• An analogue of the Bernstein theorem for the cylinder
• A Characterization of the Multivariate Normal Distribution
• Analyse générale des liaisons stochastiques: etude particulière de l'analyse factorielle linéaire

This page was built for publication: On the Skitovich-Darmois theorem for connected abelian groups