This article is cited in 3 papers

A characterization of the normal distribution by a property of order statistics

L. B. Klebanov

A. A. Zhdanov Leningrad State University, USSR

Abstract: In this note we establish a characterization of the normal distribution by the property that sample variations and all their orthogonal transformations have the same distribution.

UDC: 519.2

Received: 18.10.1971

 English version: Mathematical Notes, 1973, 13:1, 71–73

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