Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 2, pp. 239-250
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V. M. Zolotarev; V. V. Senatov. Two-sided estimates of Levy's metric. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 2, pp. 239-250. http://geodesic.mathdoc.fr/item/TVP_1975_20_2_a1/
@article{TVP_1975_20_2_a1,
author = {V. M. Zolotarev and V. V. Senatov},
title = {Two-sided estimates of {Levy's} metric},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {239--250},
year = {1975},
volume = {20},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_2_a1/}
}
TY - JOUR
AU - V. M. Zolotarev
AU - V. V. Senatov
TI - Two-sided estimates of Levy's metric
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1975
SP - 239
EP - 250
VL - 20
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1975_20_2_a1/
LA - ru
ID - TVP_1975_20_2_a1
ER -
%0 Journal Article
%A V. M. Zolotarev
%A V. V. Senatov
%T Two-sided estimates of Levy's metric
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1975
%P 239-250
%V 20
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1975_20_2_a1/
%G ru
%F TVP_1975_20_2_a1
Along with the well-known Levy distance $L$ in the space of distribution functions, a new distance $\lambda$ in the space of characteristic functions is proposed. Upper and lower estimates of $L$, close to optimal ones, are constructed using $\lambda$. Various particular cases are considered.