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
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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},
publisher = {mathdoc},
volume = {26},
number = {3},
year = {1981},
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 PB - mathdoc 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 %I mathdoc %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/