OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS

被引:32
作者
De Baets, Bernard [1 ]
De Meyer, Hans [2 ]
Ubeda-Flores, Manuel [3 ]
机构
[1] Univ Ghent, Dept Appl Math Biometr & Proc Control, B-9000 Ghent, Belgium
[2] Univ Ghent, Dept Appl Math & Comp Sci, B-9000 Ghent, Belgium
[3] Univ Almeria, Dept Estadist & Matemat Aplicada, La Canada De San Urbano 04120, Almeria, Spain
关键词
Copula; Lipschitz condition; diagonal section; opposite diagonal section; opposite symmetry; quasi-copula; tail dependence;
D O I
10.1142/S0218488509006108
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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.
引用
收藏
页码:481 / 490
页数:10
相关论文
共 50 条
  • [31] Diagonal plane sections of trivariate copulas
    Durante, Fabrizio
    Fernandez-Sanchez, Juan
    Juan Quesada-Molina, Jose
    Ubeda-Flores, Manuel
    INFORMATION SCIENCES, 2016, 333 : 81 - 87
  • [32] A new look on discrete quasi-copulas
    Aguilo, I.
    Suner, J.
    Torrens, J.
    NEW DIMENSIONS IN FUZZY LOGIC AND RELATED TECHNOLOGIES, VOL I, PROCEEDINGS, 2007, : 83 - 90
  • [33] Some new properties of quasi-copulas
    Nelsen, RB
    Quesada-Molina, JJ
    Rodríguez-Lallena, JA
    Ubeda-Flores, M
    DISTRIBUTIONS WITH GIVEN MARGINALS AND STATISTICAL MODELLING, 2002, : 187 - 194
  • [34] Extension to copulas and quasi-copulas as special 1-Lipschitz aggregation operators
    Klement, EP
    Kolesárová, A
    KYBERNETIKA, 2005, 41 (03) : 329 - 348
  • [35] Bivariate measure-inducing quasi-copulas
    Stopar, Nik
    FUZZY SETS AND SYSTEMS, 2024, 492
  • [36] Copulas with given diagonal sections: novel constructions and applications
    Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, 4040 Linz, Austria
    不详
    不详
    不详
    不详
    Int. J. Uncertainty Fuzziness Knowledge Based Syst., 2007, 4 (397-410): : 397 - 410
  • [37] On a new construction of 1-Lipschitz aggregation functions, quasi-copulas and copulas
    Kolesarova, Anna
    Mesiar, Radko
    Kalicka, Jana
    FUZZY SETS AND SYSTEMS, 2013, 226 : 19 - 31
  • [38] Bell-type inequalities for quasi-copulas
    Janssens, S
    De Baets, B
    De Meyer, H
    FUZZY SETS AND SYSTEMS, 2004, 148 (02) : 263 - 278
  • [39] A new family of trivariate proper quasi-copulas
    Ubeda-Flores, Manuel
    KYBERNETIKA, 2007, 43 (01) : 75 - 85
  • [40] Diagonal Copulas
    Mesiar, Radko
    Kalicka, Jana
    AGGREGATION FUNCTIONS IN THEORY AND IN PRACTISE, 2013, 228 : 67 - 74