We prove a version for random measures of the celebrated Kantorovich-Rubinstein duality theorem and we give an application to the coupling of random variables which extends and unifies known results.
Publié le : 2004-10-22
Classification:
Kantorovich-Rubinstein theorem,
Minimal distance,
Coupling of random variables,
MSC 60B05; 28C15,
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{hal-00002997,
author = {Dedecker, J\'er\^ome and Prieur, Cl\'ementine and Raynaud de Fitte, Paul},
title = {Parametrized Kantorovich-Rubinstein theorem and application to the coupling of random variables},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00002997}
}
Dedecker, Jérôme; Prieur, Clémentine; Raynaud de Fitte, Paul. Parametrized Kantorovich-Rubinstein theorem and application to the coupling of random variables. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00002997/