2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72728We 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.date de redaction 22 octobre 2004ProbabilityMSC 60B05; 28C15Parametrized Kantorovich-Rubinstein theorem and application to the coupling of random variablestext