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Tail dependence for skew Laplace distribution and skew Cauchy distribution

Jiannan Ning and Wende Yi

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 17, 5224-5233

Abstract: Coefficient of tail dependence measures the strength of dependence in the tail of a bivariate distribution and it has been found useful in the risk management. In this paper, we derive the upper tail dependence coefficient for a random vector following the skew Laplace distribution and the skew Cauchy distribution, respectively. The result shows that skew Laplace distribution is asymptotically independent in upper tail, however, skew Cauchy distribution has asymptotic upper tail dependence.

Date: 2016
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DOI: 10.1080/03610926.2014.941494

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