Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 3, pp. 543-563
Citer cet article
V. N. Vapnik; A. Ja. Červonenkis. Necessary and sufficient conditions for the uniform convergence of empirical means to their true values. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 3, pp. 543-563. http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a7/
@article{TVP_1981_26_3_a7,
author = {V. N. Vapnik and A. Ja. \v{C}ervonenkis},
title = {Necessary and sufficient conditions for the uniform convergence of empirical means to their true values},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {543--563},
year = {1981},
volume = {26},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a7/}
}
TY - JOUR
AU - V. N. Vapnik
AU - A. Ja. Červonenkis
TI - Necessary and sufficient conditions for the uniform convergence of empirical means to their true values
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1981
SP - 543
EP - 563
VL - 26
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a7/
LA - ru
ID - TVP_1981_26_3_a7
ER -
%0 Journal Article
%A V. N. Vapnik
%A A. Ja. Červonenkis
%T Necessary and sufficient conditions for the uniform convergence of empirical means to their true values
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1981
%P 543-563
%V 26
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1981_26_3_a7/
%G ru
%F TVP_1981_26_3_a7
The convergence of empirical means to their true values is studied. Using the properties of $\varepsilon$-entropy we find the necessary and sufficient conditions for the uniformity of this convergence.
