Bernstein Gaussian Distributions on Groups
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Publication:3834775
DOI10.1137/1131003zbMath0678.60007OpenAlexW2004628150MaRDI QIDQ3834775
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
locally compact separable metric Abelian groupcompact Kolvin subgroupGaussian distributions in the sense of BernsteinGaussian distributions in the sense of Parthasarathy
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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