Curved splicing of copulas

被引:10
作者
Jwaid, T. [1 ]
De Meyer, H. [2 ]
Ismail, A. Haj [3 ]
De Baets, B. [1 ]
机构
[1] Univ Ghent, Dept Data Anal & Math Modelling, Coupure Links 653, B-9000 Ghent, Belgium
[2] Univ Ghent, Dept Appl Math Comp Sci & Stat, Krijgslaan 281 S9, B-9000 Ghent, Belgium
[3] Ajman Univ, Fac Humanities & Sci, POB 346, Ajman, U Arab Emirates
关键词
Copula; Quasi-copula; Diagonal splice; Symmetry;
D O I
10.1016/j.ins.2020.12.053
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
First, we recall the properties of the curved section of a copula that is specified by an auto-morphism of the unit interval. Then, inspired by the operation of diagonal splicing of two copulas, we develop the curved splicing operation, which essentially glues together different restrictions of two copulas that share the same curved section. In order to exploit this operation in practice, we propose two new classes of semilinear copulas. Applying the curved splicing operation to members of these two classes leads to two other classes of semilinear copulas. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码:95 / 110
页数:16
相关论文
共 40 条
  • [1] Alsina C, 2006, ASSOCIATIVE FUNCTIONS: TRIANGULAR NORMS AND COPULAS, P1, DOI 10.1142/9789812774200
  • [2] ON THE CHARACTERIZATION OF A CLASS OF BINARY OPERATIONS ON DISTRIBUTION-FUNCTIONS
    ALSINA, C
    NELSEN, RB
    SCHWEIZER, B
    [J]. STATISTICS & PROBABILITY LETTERS, 1993, 17 (02) : 85 - 89
  • [3] A hitchhiker's guide to quasi-copulas
    Arias-Garcia, J. J.
    Mesiar, R.
    DeBaets, B.
    [J]. FUZZY SETS AND SYSTEMS, 2020, 393 : 1 - 28
  • [4] Calvo T, 2002, STUD FUZZ SOFT COMP, V97, P3
  • [5] Patched approximations and their convergence
    Chaidee, Nattakarn
    Santiwipanont, Tippawan
    Sumetkijakan, Songkiat
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (09) : 2654 - 2664
  • [6] Orthogonal grid constructions of copulas
    De Baets, B.
    De Meyer, H.
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (06) : 1053 - 1062
  • [7] On the degree of asymmetry of a quasi-copula with respect to a curve
    De Baets, B.
    De Meyer, H.
    Jwaid, T.
    [J]. FUZZY SETS AND SYSTEMS, 2019, 354 : 84 - 103
  • [8] On the relationship between modular functions and copulas
    De Baets, B.
    De Meyer, H.
    Kalicka, J.
    Mesiar, R.
    [J]. FUZZY SETS AND SYSTEMS, 2015, 268 : 110 - 126
  • [9] On an idempotent transformation of aggregation functions and its application on absolutely continuous Archimedean copulas
    De Baets, B.
    De Meyer, H.
    Diaz, S.
    [J]. FUZZY SETS AND SYSTEMS, 2009, 160 (06) : 733 - 751
  • [10] De Baets B, 2007, KYBERNETIKA, V43, P221