On Some Construction Methods for Bivariate Copulas

被引:9
|
作者
Mesiar, Radko [1 ]
Komornik, Jozef [2 ]
Komornikova, Magda [1 ]
机构
[1] Slovak Univ Technol Bratislava, Fac Civil Engn, Radlinskeho 11, Bratislava 81368, Slovakia
[2] Comenius Univ, Fac Management, Bratislava 82005, Slovakia
关键词
Farlie-Gumbel-Morgenstern copulas; Mayor-Torrens copulas; construction method for copula;
D O I
10.1007/978-3-642-39165-1_7
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We propose a rather general construction method for bivariate copulas, generalizing some construction methods known from the literature. In some special cases, the constraints ensuring the output of the proposed method to be a copula are given. Our approach opens several new problems in copula theory.
引用
收藏
页码:39 / +
页数:2
相关论文
共 50 条
  • [1] Construction of bivariate asymmetric copulas
    Mukherjee, Saikat
    Lee, Youngsaeng
    Kim, Jong-Min
    Jang, Jun
    Park, Jeong-Soo
    [J]. COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS, 2018, 25 (02) : 217 - 234
  • [2] Construction of copulas for bivariate failure rates
    Wu, Shaomin
    Dui, Hongyan
    Hu, Linmin
    [J]. ANNALS OF OPERATIONS RESEARCH, 2024,
  • [3] Construction of bivariate S-distributions with copulas
    Yu, Lining
    Voit, Eberhard O.
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2006, 51 (03) : 1822 - 1839
  • [4] On the Construction of a Semiparametric Family of Bivariate Copulas Using the Opposite Diagonal Section of Copulas
    Susam, Selim Orhun
    Chesneau, Christophe
    [J]. JOURNAL OF STATISTICAL THEORY AND PRACTICE, 2024, 18 (02)
  • [5] Approximation of bivariate copulas by patched bivariate Frechet copulas
    Zheng, Yanting
    Yang, Jingping
    Huang, Jianhua Z.
    [J]. INSURANCE MATHEMATICS & ECONOMICS, 2011, 48 (02): : 246 - 256
  • [6] A New Method for the Construction of Bivariate Archimedean Copulas Based on the Function
    Michiels, Frederik
    Koch, Inge
    De Schepper, Ann
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2011, 40 (15) : 2670 - 2679
  • [7] A recipe for bivariate copulas
    Key, Eric
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (21) : 6416 - 6420
  • [8] Perturbation of bivariate copulas
    Mesiar, Radko
    Komornikova, Magda
    Komornik, Jozef
    [J]. FUZZY SETS AND SYSTEMS, 2015, 268 : 127 - 140
  • [9] Expansions for bivariate copulas
    Nadarajah, Saralees
    [J]. STATISTICS & PROBABILITY LETTERS, 2015, 100 : 77 - 84
  • [10] Computation and estimation of reliability for some bivariate copulas with Pareto marginals
    Patil, Dipak D.
    Naik-Nimbalkar, U. V.
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2017, 87 (18) : 3563 - 3589