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Constructions of absolutely continuous copulas with given curvilinear or opposite-curvilinear sections | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 22، شماره 5، آذر و دی 2025، صفحه 111-128 اصل مقاله (504.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2025.51574.9112 | ||
| نویسندگان | ||
| Zou Wei1؛ Xie Jiehua* 2 | ||
| 1School of Science, Nanchang Institute of Technology | ||
| 2School of Business Administration, Nanchang Institute of Technology, China | ||
| چکیده | ||
| In this paper, we address the constructions of absolutely continuous copulas characterized by given curvilinear or opposite-curvilinear sections. For a given function generated by a suitable curve within the unit square, we develop a family of absolutely continuous copulas having this function as a curvilinear section, achieved by averaging over a series of copulas sharing the common curvilinear section. Subsequently, we establish theoretical relationships between absolutely continuous copulas with given opposite-curvilinear sections and those with corresponding curvilinear sections. Using these relationships, we propose two approaches for constructing of absolutely continuous copulas with given opposite-curvilinear sections. | ||
| کلیدواژهها | ||
| Absolutely continuous copula؛ Curvilinear section؛ Opposite-curvilinear section؛ Curvilinear copula | ||
| مراجع | ||
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