Characterization of Differentiable Copulas
AbstractThis 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.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1210.2953.
Date of creation: Oct 2012
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-10-20 (All new papers)
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- Liebscher, Eckhard, 2008. "Construction of asymmetric multivariate copulas," Journal of Multivariate Analysis, Elsevier, Elsevier, vol. 99(10), pages 2234-2250, November.
- RodrÃguez-Lallena, JosÃ© Antonio & Ãšbeda-Flores, Manuel, 2004. "A new class of bivariate copulas," Statistics & Probability Letters, Elsevier, Elsevier, vol. 66(3), pages 315-325, February.
- CÃ©cile Amblard & StÃ©phane Girard, 2009. "A new extension of bivariate FGM copulas," Metrika, Springer, Springer, vol. 70(1), pages 1-17, June.
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