Bernstein Gaussian Distributions on Groups

DOI10.1137/1131003zbMath0678.60007OpenAlexW2004628150MaRDI QIDQ3834775

Gennadiy Feldman

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1137/1131003

zbMATH Keywords

locally compact separable metric Abelian groupcompact Kolvin subgroupGaussian distributions in the sense of BernsteinGaussian distributions in the sense of Parthasarathy

Mathematics Subject Classification ID

Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (13)

On the Skitovich-Darmois theorem for some locally compact abelian groups ⋮ Characterization theorems for \(Q\)-independent random variables with values in a locally compact abelian group ⋮ Characterizations of probability distributions by the properties of linear forms with random coefficients ⋮ Gaussian distributions in the sense of Bernstein on locally compact abelian groups ⋮ A characterization theorem on compact abelian groups ⋮ On analogues of C.R. Rao's theorems for locally compact Abelian groups ⋮ On the Heyde theorem for finite Abelian groups ⋮ The Kac-Bernstein functional equation on abelian groups ⋮ Independent linear forms on connected Abelian groups ⋮ \(p\)-adic Gaussian random variables ⋮ On a generalisation of the Skitovich-Darmois theorem for several linear forms on abelian groups ⋮ Characterization of distributions of \(Q\)-independent random variables on locally compact abelian groups ⋮ Independent Linear Statistics on the Cylinders

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