Independent variables with independent sum and difference: \(S{^ 1}\)- case

DOI10.1006/jmva.1993.1031zbMath0771.62008OpenAlexW2074342223MaRDI QIDQ2366542

Bennett Eisenberg, Wolfgang Stadje, Yuliy M. Baryshnikov

Publication date: 17 August 1993

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.1993.1031

zbMATH Keywords

independent random variablesprobability measures on groupscharacteristic sequenceswrapped normal distributionindependent sum and difference

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (6)

Characterization theorems for \(Q\)-independent random variables with values in a locally compact abelian group ⋮ Skitovich-Darmois theorem for discrete and compact totally disconnected abelian groups ⋮ On the Skitovich-Darmois theorem for connected abelian groups ⋮ The Kac-Bernstein functional equation on abelian groups ⋮ Independent linear forms on connected Abelian groups ⋮ Independent Linear Statistics on the Cylinders

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