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Teoriya Veroyatnostei i ee Primeneniya, 1982, Volume 27, Issue 2, Pages 308–318
(Mi tvp2352)
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This article is cited in 4 scientific papers (total in 4 papers)
Non-classical estimates of the rate of convergence in the central limit theorem which take into account large deviations
S. Ya. Šorgin Moscow
Abstract:
In the paper, estimates of the convergence rate in the central limit theorem are obtained. The estimates take into account large deviations and closeness of summands' distributions to the normal one. In the paper we prove two lemmas on the convergence rate for the compositions of certain $k$-dimensional Borel measures satisfying Cramer's condition.
Received: 26.03.1980
Citation:
S. Ya. Šorgin, “Non-classical estimates of the rate of convergence in the central limit theorem which take into account large deviations”, Teor. Veroyatnost. i Primenen., 27:2 (1982), 308–318; Theory Probab. Appl., 27:2 (1983), 324–337
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https://www.mathnet.ru/eng/tvp2352 https://www.mathnet.ru/eng/tvp/v27/i2/p308
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