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Volumn 215, Issue 1, 1997, Pages 86-94

On the monotonicity of optimal transportation plans

Author keywords

[No Author keywords available]

Indexed keywords

OPTIMIZATION; PROBLEM SOLVING;

EID: 0031260785     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5618     Document Type: Article
Times cited : (7)

References (15)
  • 3
    • 0000314501 scopus 로고
    • Notes on the Wasserstein metric in Hilbert spaces
    • Cuesta-Albertos J. A., Matrán C. Notes on the Wasserstein metric in Hilbert spaces. Ann. Probab. 17:1989;1264-1276.
    • (1989) Ann. Probab. , vol.17 , pp. 1264-1276
    • Cuesta-Albertos, J.A.1    Matrán, C.2
  • 9
    • 84974004014 scopus 로고    scopus 로고
    • Existence and uniqueness of monotone measure-preserving maps
    • McCann R. Existence and uniqueness of monotone measure-preserving maps. Duke Math. J. 80:1996;309-323.
    • (1996) Duke Math. J. , vol.80 , pp. 309-323
    • McCann, R.1
  • 12
    • 0011046731 scopus 로고    scopus 로고
    • Bounds for the distributions with multivariate marginals, Stochastic Order and Decision under Risk
    • K. MoslerM. Scarssini Inst. Math. Statist. Hayward, CA
    • L. Rüschendorf, Bounds for the distributions with multivariate marginals, Stochastic Order and Decision under Risk, K. MoslerM. Scarssini, IMS Lecture Notes, 19, 285, 310, Inst. Math. Statist. Hayward, CA.
    • IMS Lecture Notes , vol.19 , pp. 285
    • Rüschendorf, L.1
  • 13
    • 0002558803 scopus 로고
    • Fréchet-bounds and their applications
    • Dall'Aglio, Kotz, & Salinetti. Dordrecht: Kluwer Academic
    • Rüschendorf L. Fréchet-bounds and their applications. Dall'Aglio, Kotz, Salinetti. Advances in Probability Measures with Given Marginals. 1991;151-188 Kluwer Academic, Dordrecht.
    • (1991) Advances in Probability Measures with Given Marginals , pp. 151-188
    • Rüschendorf, L.1
  • 14
    • 0000012825 scopus 로고
    • On Hoeffding-Fréchet bounds and cyclic monotone relations
    • Smith C. S., Knott M. On Hoeffding-Fréchet bounds and cyclic monotone relations. J. Multivariate Anal. 40:1992;328-334.
    • (1992) J. Multivariate Anal. , vol.40 , pp. 328-334
    • Smith, C.S.1    Knott, M.2
  • 15
    • 0003141330 scopus 로고
    • On the stochastic convergence of representations based on Wasserstein metrics
    • Tuero-Díaz A. On the stochastic convergence of representations based on Wasserstein metrics. Ann. Probab. 21:1993;72-85.
    • (1993) Ann. Probab. , vol.21 , pp. 72-85
    • Tuero-Díaz, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.