Transportation Distance and the Central Limit Theorem

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dc.creatorEkisheva, S.
dc.creatorHoudré, C.
dc.date2006-07-04
dc.date.accessioned2026-07-07T08:08:00Z
dc.date.available2026-07-07T08:08:00Z
dc.descriptionFor probability measures on a complete separable metric space, we present sufficient conditions for the existence of a solution to the Kantorovich transportation problem. We also obtain sufficient conditions (which sometimes also become necessary) for the convergence, in transportation, of probability measures when the cost function is continuous, non-decreasing and depends on the distance. As an application, the CLT in the transportation distance is proved for independent and some dependent stationary sequences.
dc.identifierhttps://arxiv.org/abs/math/0607089
dc.identifierhttp://arxiv.org/abs/math/0607089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131118
dc.subjectProbability
dc.subjectStatistics Theory
dc.subject60B05, 60F05, 60F25, 28A33
dc.titleTransportation Distance and the Central Limit Theorem
dc.typetext

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