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Matematicheskie Zametki, 1969, Volume 6, Issue 3, Pages 301–307
(Mi mzm6936)
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This article is cited in 11 scientific papers (total in 11 papers)
On a theorem of S. N. Bernshtein
A. L. Rukhin Leningrad Department of V. A. Steklov Institute of Mathematics, USSR Academy of Sciences
Abstract:
This note contains the proof of a theorem on the characterization of a normal law on locally compact Abelian groups, this theorem being a generalization of S. N. Bernshtein's wellknown characterization of the normal law by the property that sums and differences of two independent random variables are also random variables.
Received: 11.10.1967
Citation:
A. L. Rukhin, “On a theorem of S. N. Bernshtein”, Mat. Zametki, 6:3 (1969), 301–307; Math. Notes, 6:3 (1969), 638–641
Linking options:
https://www.mathnet.ru/eng/mzm6936 https://www.mathnet.ru/eng/mzm/v6/i3/p301
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