A New Characterization of Bivariate Copulas

被引:25
|
作者
Durante, Fabrizio [2 ]
Jaworski, Piotr [1 ]
机构
[1] Warsaw Univ, Inst Math, PL-02097 Warsaw, Poland
[2] Johannes Kepler Univ Linz, Dept Knowledge Based Math Syst, A-4040 Linz, Austria
关键词
Copula; Dini derivative; 2-increasing property; QUASI-COPULAS; DIAGONAL SECTIONS; CONSTRUCTIONS;
D O I
10.1080/03610920903151459
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A new characterization of bivariate copulas is given by using the notion of Dini derivatives. Several examples illustrate the usefulness of this result.
引用
收藏
页码:2901 / 2912
页数:12
相关论文
共 50 条
  • [21] Bivariate Cox models and copulas
    Achibi, Mohamed
    Broniatowski, Michel
    Duveau, Catherine
    Marboeuf, Alice
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY, 2012, 226 (O5) : 476 - 487
  • [22] A New Method for the Construction of Bivariate Archimedean Copulas Based on the Function
    Michiels, Frederik
    Koch, Inge
    De Schepper, Ann
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2011, 40 (15) : 2670 - 2679
  • [23] New Bivariate Copulas via Lomax Distribution Generated Distortions
    Aldhufairi, Fadal Abdullah Ali
    Sepanski, Jungsywan H.
    APPLIEDMATH, 2024, 4 (02): : 641 - 665
  • [24] On a new partial order on bivariate distributions and on constrained bounds of their copulas
    Omladic, Matjaz
    Stopar, Nik
    FUZZY SETS AND SYSTEMS, 2021, 415 : 118 - 135
  • [25] New Families of Bivariate Copulas via Unit Lomax Distortion
    Aldhufairi, Fadal Abdullah-A
    Samanthi, Ranadeera G. M.
    Sepanski, Jungsywan H.
    RISKS, 2020, 8 (04) : 1 - 19
  • [26] Tests of symmetry for bivariate copulas
    Genest, Christian
    Neslehova, Johanna
    Quessy, Jean-Francois
    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2012, 64 (04) : 811 - 834
  • [27] Construction of bivariate asymmetric copulas
    Mukherjee, Saikat
    Lee, Youngsaeng
    Kim, Jong-Min
    Jang, Jun
    Park, Jeong-Soo
    COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS, 2018, 25 (02) : 217 - 234
  • [28] Tests of symmetry for bivariate copulas
    Christian Genest
    Johanna Nešlehová
    Jean-François Quessy
    Annals of the Institute of Statistical Mathematics, 2012, 64 : 811 - 834
  • [29] A note on bivariate Archimax copulas
    Durante, Fabrizio
    Fernandez Sanchez, Juan
    Sempi, Carlo
    DEPENDENCE MODELING, 2018, 6 (01): : 178 - 182
  • [30] A Note on the Compatibility of Bivariate Copulas
    Durante, Fabrizio
    Fernandez Sanchez, Juan
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (09) : 1918 - 1923