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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1978 Volume 23, Issue 3, Pages 630–637 (Mi tvp3083)

This article is cited in 5 papers

Short Communications

On the distribution of sums of independent Banach-space-valued random variables

I. F. Pinelis

Novosibirsk

Abstract: Probabilistic inequalities of [2] are generalized for the case of Banach-space-valued random variables with the help of the method due to V. V. Yurinski\u i [12]. As a consequence, sufficient conditions for the strong law of large numbers are given.
The results obtained are compared with known ones in this direction.

Received: 13.07.1976


 English version:
Theory of Probability and its Applications, 1978, 23:3, 608–615

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