A new asymmetric class of bivariate copulas for modeling dependence. Issue 7 (9th August 2017)

• Record Type: Journal Article
• Authors: Bekrizadeh, H.; Parham, G. A.; Jamshidi, B.
• Is Part Of: Communications in statistics. Volume 46:Issue 7(2017)
• Page Start: 5594
• Page End: 5609
• Publication Date: 2017-08-09
• Subjects: Copulas -- Concepts of dependence -- Measures of association -- Medical data; Primary 62H05 -- Secondary 62H20; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2016.1169292
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: In this paper, we propose an asymmetric class of bivariate copulas. This class is obtained through limiting properties of the extended copula introduced by Bekrizadeh, et al. (2015 ), and includes some of known copulas. Some general formulas for well-known association measures and concepts of dependence of the proposed model are obtained. This paper highlights the usefulness of this new bivariate copula for modeling the interested variables whose marginal distribution effect on joint distribution isn't identical. We apply some subfamilies of this new class to model a dataset of medical science to show the superiority of presented model in comparison with the known copulas. These results will be investigated using simulation.