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

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• 作者：Juan Ferná ; ndez-Sá ; nchez^a ; ^{juanfernandez@ual.es} ; Manuel Ú ; beda-Flores^b ; ^{mubeda@ual.es}
• 关键词：Copula ; Diagonal ; Track
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：308
• 期：Complete
• 页码：133-137
• 全文大小：244 K
• 卷排序：308

文摘

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].