Geodesic
A~characterization of the normal distribution by a~property of order statistics
Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 121-124

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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. 
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     author = {L. B. Klebanov},
     title = {A~characterization of the normal distribution by a~property of order statistics},
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     publisher = {mathdoc},
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     year = {1973},
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L. B. Klebanov. A~characterization of the normal distribution by a~property of order statistics. Matematičeskie zametki, Tome 13 (1973) no. 1, pp. 121-124. http://geodesic.mathdoc.fr/item/MZM_1973_13_1_a14/