Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 4, pp. 824-827
Citer cet article
S. S. Vallander. Calculation of the Wasserstein distance between probability distributions on the line. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 4, pp. 824-827. http://geodesic.mathdoc.fr/item/TVP_1973_18_4_a13/
@article{TVP_1973_18_4_a13,
author = {S. S. Vallander},
title = {Calculation of the {Wasserstein} distance between probability distributions on the line},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {824--827},
year = {1973},
volume = {18},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1973_18_4_a13/}
}
TY - JOUR
AU - S. S. Vallander
TI - Calculation of the Wasserstein distance between probability distributions on the line
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1973
SP - 824
EP - 827
VL - 18
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1973_18_4_a13/
LA - ru
ID - TVP_1973_18_4_a13
ER -
%0 Journal Article
%A S. S. Vallander
%T Calculation of the Wasserstein distance between probability distributions on the line
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1973
%P 824-827
%V 18
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1973_18_4_a13/
%G ru
%F TVP_1973_18_4_a13
We prove that the Wasserstein distance between probability distributions on the line coincides with the $L^1$-distance between their distribution function.
