Characterization of the Gaussian distribution on groups by the independence of linear statistics-Reference-Cited by-同舟云学术

Characterization of the Gaussian distribution on groups by the independence of linear statistics

Published:1990 Issue:2 Volume:31 Page:336-345
ISSN:0037-4466
Container-title:Siberian Mathematical Journal
language:en
Short-container-title:Sib Math J

Author:

Fel'dman G. M.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF00970664.pdf

Reference11 articles.

1. V. P. Skitovich, ?On a property of the normal distribution,? Dokl. Akad. Nauk SSSR,89, No. 2, 217?219 (1953).

2. G. Darmois, ?Analyse générale des liaisons stochastiques,? Rev. Inst. Int. Statistique,21, 2?8 (1953).

3. E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Springer, New York (1963), Vol. 1.

4. K. Parthasarathy, R. Ranga Rao and S.R.S. Varadhan, ?Probability distributions on locally compact Abelian groups,? Matematika,9, No. 2, 115?146 (1965).

5. Yu. V. Linnik and I. V. Ostrovskii, Decomposition of Random Variables and Vectors [in Russian], Nauka, Moscow (1972).

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