Multivariate conditional versions of Spearman's rho and related measures of tail dependence |
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Authors: | Friedrich Schmid |
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Affiliation: | Seminar für Wirtschafts- und Sozialstatistik, Universität zu Köln, Albertus-Magnus-Platz, D-50923 Köln, Germany |
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Abstract: | A new family of conditional-dependence measures based on Spearman's rho is introduced. The corresponding multidimensional versions are established. Asymptotic distributional results are derived for related estimators which are based on the empirical copula. Particular emphasis is placed on a new type of multidimensional tail-dependence measure and its relationship to other measures of tail dependence is shown. Multivariate tail dependence describes the limiting amount of dependence in the vertices of the copula's domain. |
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Keywords: | primary 62H20 60F05 62G20 secondary 60G15 60G70 |
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