Teoriâ veroâtnostej i ee primeneniâ, Tome 29 (1984) no. 1, pp. 159-164
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V. D. Konakov. The theorem on deviation of empirical measure and its applications. Teoriâ veroâtnostej i ee primeneniâ, Tome 29 (1984) no. 1, pp. 159-164. http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a20/
@article{TVP_1984_29_1_a20,
author = {V. D. Konakov},
title = {The theorem on deviation of empirical measure and its applications},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {159--164},
year = {1984},
volume = {29},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a20/}
}
TY - JOUR
AU - V. D. Konakov
TI - The theorem on deviation of empirical measure and its applications
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1984
SP - 159
EP - 164
VL - 29
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a20/
LA - ru
ID - TVP_1984_29_1_a20
ER -
%0 Journal Article
%A V. D. Konakov
%T The theorem on deviation of empirical measure and its applications
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1984
%P 159-164
%V 29
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1984_29_1_a20/
%G ru
%F TVP_1984_29_1_a20
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.
