Title of article :
Curved splicing constructions of (quasi-)copulas with given opposite track sections
Author/Authors :
Lou ، Qiao School of Mathematics and Statistics - Guilin University of Technology , Zhang ، Haomin M. University Key Laboratory of Applied Statistics - School of Mathematics and Statistics, Guangxi College - Guilin University of Technology , Ye ، Siya Y. University Key Laboratory of Applied Statistics - Guangxi College - Guilin University of Technology
From page :
81
To page :
100
Abstract :
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 conditionsfor 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.
Keywords :
Curved splicing , copulas , quasi , copulas , best , possible bounds , semilinear copulas
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
Record number :
2780499
Link To Document :
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