Abstract
As consequence of a characterization of optimal multivariate coupling (transportation) problems we obtain the existence of optimal Monge solutions as well as an explicit construction method for optimal transportation plans in the case that one mass distribution is discrete. We also give a new characterization of an extension of the transportation problem with more than two mass distributions involved.
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© 1997 Springer Science+Business Media Dordrecht
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Rüschendorf, L., Uckelmann, L. (1997). On Optimal Multivariate Couplings. In: Beneš, V., Štěpán, J. (eds) Distributions with given Marginals and Moment Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5532-8_31
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DOI: https://doi.org/10.1007/978-94-011-5532-8_31
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6329-6
Online ISBN: 978-94-011-5532-8
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