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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 2, Pages 425–429
(Mi tvp3054)
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This article is cited in 3 scientific papers (total in 3 papers)
Short Communications
On the central limit theorem in $R^k$
V. V. Sazonov, V. G. Mirancev Moscow
Abstract:
An estimate of the rate of convergence in the central limit theorem in $R^k$ for i. i. d. summands in the spirit of [1] is obtained. The difference of the present estimate from that of [1] is in the dependence of the right side of it on the distribution of a summand. This dependence now ameliorates as the number of summands increases. In the one-dimensional case a similar result was obtained in [2].
Received: 07.06.1977
Citation:
V. V. Sazonov, V. G. Mirancev, “On the central limit theorem in $R^k$”, Teor. Veroyatnost. i Primenen., 23:2 (1978), 425–429; Theory Probab. Appl., 23:2 (1979), 407–411
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Abstract page: | 173 | Full-text PDF : | 78 |
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