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On the Upper Bound for the Expectation of the Norm of a Vector Uniformly Distributed on the Sphere and the Phenomenon of Concentration of Uniform Measure on the Sphere

We consider the problem of constructing upper bounds for the expectation of the norm of a vector uniformly distributed on the Euclidean unit sphere.

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Bibliographic Details
Published in:Mathematical Notes 2019-07, Vol.106 (1-2), p.11-19
Main Authors: Gorbunov, É. A., Vorontsova, E. A., Gasnikov, A. V.
Format: Article
Language:English
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Summary:We consider the problem of constructing upper bounds for the expectation of the norm of a vector uniformly distributed on the Euclidean unit sphere.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434619070022