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This paper introduces vector copulas associated with multivariate distributions with given multivariate marginals, based on the theory of measure transportation, and estab-lishes a vector version of Sklar's theorem. The latter provides a theoretical justification for the use of vector copulas to characterize nonlinear or rank dependence between a finite number of random vectors (robust to within vector dependence), and to construct multivariate distributions with any given non-overlapping multivariate marginals. We construct Elliptical and Kendall families of vector copulas, derive their densities, and present algorithms to generate data from them. The use of vector copulas is illustrated with a stylized analysis of international financial contagion.Published by Elsevier B.V.
Keyword:
Measure transportation
Vector ranks
Vector copulas
Elliptical vector copulas
Kendall vector copulas
Financial contagion
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4
论文数:
5.2K
被引数:
3.0W
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