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Volumn 60, Issue 1, 1997, Pages 72-83

Optimal transportation plans and convergence in distribution

Author keywords

Consistency; Convergence in distribution; Maximal monotone operators; Monge Kantorovich transportation problem; Monotone dependence; Optimal transportation plans; Skorohod almost sure representation; Wasserstein distance

Indexed keywords


EID: 0030693415     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1996.1627     Document Type: Article
Times cited : (30)

References (15)
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    • Cuesta, J.A.1    Matran, C.2
  • 4
    • 0000333441 scopus 로고
    • Optimal coupling of multivariate distributions and stochastic processes
    • [4] Cuesta, J. A., Rüschenforf, L., and Tuero-Diaz, A. (1993). Optimal coupling of multivariate distributions and stochastic processes. J. Multivariate Anal. 46 355-361.
    • (1993) J. Multivariate Anal. , vol.46 , pp. 355-361
    • Cuesta, J.A.1    Rüschenforf, L.2    Tuero-Diaz, A.3
  • 5
    • 0000012684 scopus 로고
    • A multivariate generalization of quantile-quantile plots
    • [5] Easton, G. S., and McCullogh, R. E. (1990). A multivariate generalization of quantile-quantile plots. J. Amer. Stat. Assoc. 85 (410), 376-386.
    • (1990) J. Amer. Stat. Assoc. , vol.85 , Issue.410 , pp. 376-386
    • Easton, G.S.1    McCullogh, R.E.2
  • 7
    • 0010950784 scopus 로고
    • On the optimal mapping of distributions
    • [7] Knott, M., and Smith, C. S. (1984). On the optimal mapping of distributions. J. Optim. Theory Appl. 52 323-329.
    • (1984) J. Optim. Theory Appl. , vol.52 , pp. 323-329
    • Knott, M.1    Smith, C.S.2
  • 8
    • 0011000466 scopus 로고
    • Correlation and complete dependence of random variables
    • [8] Lancaster, H. O. (1963). Correlation and complete dependence of random variables. Ann. Math. Statist. 34 1315-1321.
    • (1963) Ann. Math. Statist. , vol.34 , pp. 1315-1321
    • Lancaster, H.O.1
  • 10
  • 12
    • 85030003019 scopus 로고
    • Some applications of monotone transformations in statistics
    • In Stochastic Inequalities (M. Shaked, and Y. L. Tong, Eds.) Institute of Mathematical Statistics, Hayward, CA
    • [12] Sampson, A. R. (1993). Some applications of monotone transformations in statistics. In Stochastic Inequalities (M. Shaked, and Y. L. Tong, Eds.), IMS Lecture Notes, Vol. 22, pp. 359-370. Institute of Mathematical Statistics, Hayward, CA.
    • (1993) IMS Lecture Notes , vol.22 , pp. 359-370
    • Sampson, A.R.1
  • 13
    • 0003141330 scopus 로고
    • On the stochastic convergence of representations based on Wasserstein metrics
    • [13] Tuero, A. (1993). On the stochastic convergence of representations based on Wasserstein metrics, Ann. Probab. 21 72-85.
    • (1993) Ann. Probab. , vol.21 , pp. 72-85
    • Tuero, A.1
  • 15
    • 84974004014 scopus 로고
    • Existence and uniqueness of monotone measure-preserving maps
    • [15] McCann, R. J. (1995). Existence and uniqueness of monotone measure-preserving maps. Duke Math. J. 80 309-323.
    • (1995) Duke Math. J. , vol.80 , pp. 309-323
    • McCann, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.