Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part X, Tome 158 (1987), pp. 45-48
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V. V. Volchaninov. On a rate of convergence of empirical measures. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part X, Tome 158 (1987), pp. 45-48. http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a4/
@article{ZNSL_1987_158_a4,
author = {V. V. Volchaninov},
title = {On a rate of convergence of empirical measures},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {45--48},
year = {1987},
volume = {158},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a4/}
}
TY - JOUR
AU - V. V. Volchaninov
TI - On a rate of convergence of empirical measures
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 45
EP - 48
VL - 158
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a4/
LA - ru
ID - ZNSL_1987_158_a4
ER -
%0 Journal Article
%A V. V. Volchaninov
%T On a rate of convergence of empirical measures
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 45-48
%V 158
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a4/
%G ru
%F ZNSL_1987_158_a4
For the Kantorovich-Rubinshtein metric we investigated the rate of convergence to zero of the average distance of an empirical measure to the distribution of a general collection depending on the massiveness of the compactum on which this distribution is concentrated.
