OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS-Reference-Cited by-同舟云学术

OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS

Published:2009-08 Issue:04 Volume:17 Page:481-490
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

DE BAETS BERNARD¹,DE MEYER HANS²,ÚBEDA-FLORES MANUEL³

Affiliation:

1. Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure Links 653, B-9000 Gent, Belgium

2. Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 281 S9, B-9000 Gent, Belgium

3. Departamento de Estadística y Matemática Aplicada, Universidad de Almería, Carretera de Sacramento s/n, 04120 La Cañada de San Urbano, Almería, Spain

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488509006108

Reference22 articles.

1. Semilinear copulas

2. COPULAS WITH GIVEN DIAGONAL SECTIONS: NOVEL CONSTRUCTIONS AND APPLICATIONS

3. Copulas Constructed from Diagonal Sections

4. Best-possible bounds on sets of bivariate distribution functions

Cited by 26 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The topological structures of the spaces of diagonal and opposite diagonal functions with the uniform metric;Topology and its Applications;2024-03

2. Curved splicing of copulas;Information Sciences;2021-05

3. New results on perturbation-based copulas;Dependence Modeling;2021-01-01

4. Absolutely continuous copulas with prescribed support constructed by differential equations, with an application in toxicology;Communications in Statistics - Theory and Methods;2020-12-28

5. A hitchhiker's guide to quasi-copulas;Fuzzy Sets and Systems;2020-08