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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 3, Pages 630–637
(Mi tvp3083)
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This article is cited in 5 scientific papers (total 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
Citation:
I. F. Pinelis, “On the distribution of sums of independent Banach-space-valued random variables”, Teor. Veroyatnost. i Primenen., 23:3 (1978), 630–637; Theory Probab. Appl., 23:3 (1978), 608–615
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