Properties of measures of association within an extended FGM

Document Type : Research Paper


1 Department of Mathematics, Faculty of Education, University of Kufa, Iraq

2 General Directorate of Education in Najaf, Iraq


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.