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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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
Subjects:
Mathematics
Mathematics and Statistics
Upper bounds
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subjects Mathematics
Mathematics and Statistics
Upper bounds
title 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
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