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Multivariate conditional versions of Spearman's rho and related measures of tail dependence

Friedrich Schmid and Rafael Schmidt

Journal of Multivariate Analysis, 2007, vol. 98, issue 6, 1123-1140

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.

Keywords: Measure; of; dependence; Copula; Spearman's; rho; Tail; dependence; Empirical; copula; Weak; convergence (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (30)

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