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Teoriya Veroyatnostei i ee Primeneniya, 1968, Volume 13, Issue 1, Pages 155–159
(Mi tvp828)
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This article is cited in 5 scientific papers (total in 5 papers)
Short Communications
Some inequalities for sums of multidimensional random variables
A. A. Borovkov Novosibirsk
Abstract:
A sequence of $k$-dimensional independent identically distributed random variables $\xi_1,\xi_2,\dots$ is considered and probabilities
$$
\mathbf P(s_n\in D_n),
$$
where $s_n=\sum_{i=1}^n\xi_i$, $D_n$ is a sequence of regions of the $k$-dimensional space, are estimated.
Received: 10.10.1967
Citation:
A. A. Borovkov, “Some inequalities for sums of multidimensional random variables”, Teor. Veroyatnost. i Primenen., 13:1 (1968), 155–159; Theory Probab. Appl., 13:1 (1968), 156–160
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