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On the optimal mapping of distributions. (English) Zbl 0519.60010


MSC:

60E15 Inequalities; stochastic orderings
60G35 Signal detection and filtering (aspects of stochastic processes)
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References:

[1] Tchen, A. H.,Inequalities for Distributions with Given Marginals, Annals of Probability, Vol. 8, pp. 814-827, 1980. · Zbl 0459.62010
[2] Berge, C., andGhouila-Houri, A.,Programming, Games, and Transportation Networks, Methuen and Company, London, England, 1965. · Zbl 0138.15505
[3] Monge, G.,Deblai et Remblai, Mémoires de l’Académie des Sciences, 1781.
[4] Appell, P.,Le Problème Géométrique des Déblais et Remblais, Mémorial des Sciences Mathématiques, Vol. 27, pp. 1-34, 1928.
[5] Appell, P.,Sur un Théorème de Monge et sur une Généralization de Ce Théorème, Acta Mathematica, Vol. 47, pp. 7-14, 1926. · JFM 51.0377.03
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