Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@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
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/