This article is cited in 19 papers

Short Communications

On an infinite-dimensional version of S. N. Bernstein's inequalities

V. V. Yurinskii

Moscow

Abstract: Probability inequalities for sums of bounded independent random vectors in a Hilbert space are obtained. Reduction to one-ditnensieeal case yields a considerable simplification of the proofs.

Received: 17.09.1969

 English version: Theory of Probability and its Applications, 1970, 15:1, 108–109

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