On the Condition of Independence of Linear Forms with a Random Number of Summands-Reference-Cited by-同舟云学术

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On the Condition of Independence of Linear Forms with a Random Number of Summands

Published:2021-06-29 Issue:13 Volume:9 Page:1516
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Kagan Abram M.,Klebanov Lev B.

Abstract

The property of independence of two random forms with a non-degenerate random number of summands contradicts the Gaussianity of the summands.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/9/13/1516/pdf

Reference7 articles.

1. Herleitung des Gau�schen Fehlergesetzes aus einer Funktionalgleichung

2. On a property characterizing Gaussian law;Bernstein;Proc. Leningr. Polytech. Inst.,1941

3. On a property of the normal distribution;Skitovich;Rep. Acad. Sci. USSR,1953

4. Analyse générale des liaisons stochastiques;Darmois;Rev. Inst. Intern. Stat.,1953

5. Characterization Problems in Mathematical Statistics;Kagan,1973

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