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OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS

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Abstract
In this paper, we study opposite diagonal sections of quasi-copulas and copulas. The best-possible upper bound for the set of copulas with a given opposite diagonal section being known, we focus on the best-possible lower bound, which in general is a quasi-copula. Moreover, it exhibits an interesting type of bivariate symmetry called opposite symmetry.
Keywords
DEPENDENCE, 1-LIPSCHITZ AGGREGATION OPERATORS, SEMILINEAR COPULAS

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MLA
De Baets, Bernard, Hans De Meyer, and Manuel Ubeda-Flores. “Opposite Diagonal Sections of Quasi-copulas and Copulas.” INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS 17.4 (2009): 481–490. Print.
APA
De Baets, B., De Meyer, H., & Ubeda-Flores, M. (2009). OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 17(4), 481–490.
Chicago author-date
De Baets, Bernard, Hans De Meyer, and Manuel Ubeda-Flores. 2009. “Opposite Diagonal Sections of Quasi-copulas and Copulas.” International Journal of Uncertainty Fuzziness and Knowledge-based Systems 17 (4): 481–490.
Chicago author-date (all authors)
De Baets, Bernard, Hans De Meyer, and Manuel Ubeda-Flores. 2009. “Opposite Diagonal Sections of Quasi-copulas and Copulas.” International Journal of Uncertainty Fuzziness and Knowledge-based Systems 17 (4): 481–490.
Vancouver
1.
De Baets B, De Meyer H, Ubeda-Flores M. OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD; 2009;17(4):481–90.
IEEE
[1]
B. De Baets, H. De Meyer, and M. Ubeda-Flores, “OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS,” INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, vol. 17, no. 4, pp. 481–490, 2009.
@article{783907,
  abstract     = {{In this paper, we study opposite diagonal sections of quasi-copulas and copulas. The best-possible upper bound for the set of copulas with a given opposite diagonal section being known, we focus on the best-possible lower bound, which in general is a quasi-copula. Moreover, it exhibits an interesting type of bivariate symmetry called opposite symmetry.}},
  author       = {{De Baets, Bernard and De Meyer, Hans and Ubeda-Flores, Manuel}},
  issn         = {{0218-4885}},
  journal      = {{INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS}},
  keywords     = {{DEPENDENCE,1-LIPSCHITZ AGGREGATION OPERATORS,SEMILINEAR COPULAS}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{481--490}},
  publisher    = {{WORLD SCIENTIFIC PUBL CO PTE LTD}},
  title        = {{OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS}},
  url          = {{http://dx.doi.org/10.1142/S0218488509006108}},
  volume       = {{17}},
  year         = {{2009}},
}

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