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Curved splicing constructions of (quasi-)copulas with given opposite track sections
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Curved splicing constructions of (quasi-)copulas with given opposite track sections
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Journal Article
Curved splicing constructions of (quasi-)copulas with given opposite track sections
2024
Overview
In this paper, our focus is to construct (quasi-)copulas with a given opposite track section. Three different ways for constructing (quasi-)copulas with a given opposite track section are proposed and the best-possible bounds for all those (quasi-)copulas sharing a common opposite track section are also discussed. Drawing inspiration from the opposite diagonal splicing operation, we propose the curved splicing operation. We obtain that the curved splicing of any two quasi-copulas with a common opposite track section must be a quasi-copula. We also show several sufficient conditions for the curved splicing of any two copulas sharing a common opposite track section to be a copula. Furthermore, we discuss the characteristics of a copula constructed by the curved splicing operation. Finally, we construct two novel types of semilinear copulas, and by applying the curved splicing operation we obtain two additional types of semilinear copulas.
Publisher
University of Sistan and Baluchestan, Iranian Journal of Fuzzy Systems
Subject
