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

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