Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 406-410
Citer cet article
V. A. Abramov. Estimates for the Lévy–Prohorov distance. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 406-410. http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a18/
@article{TVP_1976_21_2_a18,
author = {V. A. Abramov},
title = {Estimates for the {L\'evy{\textendash}Prohorov} distance},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {406--410},
year = {1976},
volume = {21},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a18/}
}
TY - JOUR
AU - V. A. Abramov
TI - Estimates for the Lévy–Prohorov distance
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1976
SP - 406
EP - 410
VL - 21
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a18/
LA - ru
ID - TVP_1976_21_2_a18
ER -
%0 Journal Article
%A V. A. Abramov
%T Estimates for the Lévy–Prohorov distance
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1976
%P 406-410
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a18/
%G ru
%F TVP_1976_21_2_a18
Estimates, analogous to the Esseen inequality, are given for the Lévy–Prohorov distance between distributions in arbitrary finite-dimensional normed spaces. These results are obtained under the assumption that the distributions in question have sufficiently smooth characteristic functions.