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Teoriya Veroyatnostei i ee Primeneniya, 1984, Volume 29, Issue 1, Pages 159–164
(Mi tvp1988)
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This article is cited in 1 scientific paper (total in 1 paper)
Short Communications
The theorem on deviation of empirical measure and its applications
V. D. Konakov Moscow
Abstract:
In the paper we obtain the moderate deviation theorems for the empirical measures in one- and multi-dimensional cases. The results are used in the construction of the density estimates having the best rates of convergence in a uniform metric.
Received: 05.03.1980
Citation:
V. D. Konakov, “The theorem on deviation of empirical measure and its applications”, Teor. Veroyatnost. i Primenen., 29:1 (1984), 159–164; Theory Probab. Appl., 29:1 (1985), 158–163
Linking options:
https://www.mathnet.ru/eng/tvp1988 https://www.mathnet.ru/eng/tvp/v29/i1/p159
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