Due to globalization and relaxed market regulation, we have assisted to an increasing of extremal dependence in international markets. As a consequence, several measures of tail dependence have been stated in literature in recent years, based on multivariate extreme-value theory. In this paper we present a tail dependence function and an extremal coefficient of dependence between two random vectors that extend existing ones. We shall see that in weakening the usual required dependence allows to assess the amount of dependence in d-variate random vectors based on bidimensional techniques. Simple estimators will be stated and can be applied to the well-known stable tail dependence function. Asymptotic normality and strong consistency will be derived too. An application to financial markets will be presented at the end.
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Univ Pavia, Dept Polit & Social Sci, Corso Str Nuova 65, I-27100 Pavia, ItalyUniv Pavia, Dept Polit & Social Sci, Corso Str Nuova 65, I-27100 Pavia, Italy
Marcon, Giulia
Padoan, Simone A.
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Bocconi Univ, Dept Decis Sci, Via Roentgen 1, I-20136 Milan, ItalyUniv Pavia, Dept Polit & Social Sci, Corso Str Nuova 65, I-27100 Pavia, Italy
Padoan, Simone A.
Antoniano-Villalobos, Isadora
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Bocconi Univ, Dept Decis Sci, Via Roentgen 1, I-20136 Milan, ItalyUniv Pavia, Dept Polit & Social Sci, Corso Str Nuova 65, I-27100 Pavia, Italy