Bivariate copulas defined from matrices
Statistics Theory
2013-10-22 v1 Statistics Theory
Abstract
We propose a semiparametric family of copulas based on a set of orthonormal functions and a matrix. This new copula permits to reach values of Spearman's Rho arbitrarily close to one without introducing a singular component. Moreover, it encompasses several extensions of FGM copulas as well as copulas based on partition of unity such as Bernstein or checkerboard copulas. Finally, it is also shown that projection of arbitrary densities of copulas onto tensor product bases can enter our framework.
Cite
@article{arxiv.1310.5560,
title = {Bivariate copulas defined from matrices},
author = {Cécile Amblard and Stephane Girard and Ludovic Menneteau},
journal= {arXiv preprint arXiv:1310.5560},
year = {2013}
}