Characterization of Differentiable Copulas
Methodology
2012-10-11 v1 Computational Finance
Abstract
This paper proposes a new class of copulas which characterize the set of all twice continuously differentiable copulas. We show that our proposed new class of copulas is a new generalized copula family that include not only asymmetric copulas but also all smooth copula families available in the current literature. Spearman's rho and Kendall's tau for our new Fourier copulas which are asymmetric are introduced. Furthermore, an approximation method is discussed in order to optimize Spearman's rho and the corresponding Kendall's tau.
Cite
@article{arxiv.1210.2953,
title = {Characterization of Differentiable Copulas},
author = {Saikat Mukherjee and Farhad Jafari and Jong-Min Kim},
journal= {arXiv preprint arXiv:1210.2953},
year = {2012}
}
Comments
12 pages, 5 figures, Submitted