Properties of measures of association within an extended FGM

	Properties of measures of association within an extended FGM
International Journal of Nonlinear Analysis and Applications
دوره 12، Special Issue، اسفند 2021، صفحه 2265-2272 اصل مقاله (394.35 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.6197
نویسندگان
Hawraa A. AL-Challabi¹؛ Noor N. Rasoul^* ²؛ Ahmed Aladilee¹
¹Department of Mathematics, Faculty of Education, University of Kufa, Iraq
²General Directorate of Education in Najaf, Iraq
چکیده
In this paper, we propose an extension to the bivariate FGM copula within a polynomial function of degree one. The desired extension depends on the modification that was shown by Sriboonchitta-Kreinovich [12]. We also illustrate a general form of such extension with degree n. We examine various necessary and sufficient conditions which prove that the illustrated function within the extension is the copula. Eventually, we present several calculations of the most popular dependencies within the proposed FGM copula of degree one.
کلیدواژه‌ها
Copulas؛ Distribution functions؛ FGM copula family؛ Nonparametric measures
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