Copulas with given track and opposite track sections: Solution to a problem on diagonals

被引：6

作者：

Fernandez-Sanchez, Juan ^{[1
]}

Ubeda-Flores, Manuel ^{[2
]}

机构：

[1] Univ Almeria, Res Grp Math Anal, Almeria 04120, Spain

[2] Univ Almeria, Dept Math, Almeria 04120, Spain

来源：

FUZZY SETS AND SYSTEMS | 2017年 / 308卷

关键词：

Copula; Diagonal; Track; QUASI-COPULAS; BICONIC COPULAS;

D O I：

10.1016/j.fss.2016.06.011

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this note we provide conditions for the existence of a copula with given track and opposite track sections, generalizing conditions for the existence of copulas with given diagonal and opposite diagonal sections in de Amo et al. (2016) [3]. We also use this construction to characterize a class of copulas with a fixed diagonal section, providing, as a consequence, a solution to the Problem 2.4 posed by C. Sempi in Mesiar and Sarkoci (2010) [16]. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：133 / 137

页数：5

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