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Consider n i.i.d. random vectors on R2, with unknown, common distribution function F. Under a sharpening of the extreme value condition on F, we derive a weighted approximation of the corresponding tail copula process. Then we construct a test to check whether the extreme value condition holds...
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. The model is applied to the evaluation of the economic risk capital for a portfolio of risks using conditional value-at-risk … measures. A multivariate conditional value-at-risk vector measure is considered. Its components coincide for the constructed … multivariate copula with the conditional value-at-risk measures of the risk components of the portfolio. This yields a “fair” risk …
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In practice, multivariate dependencies between extreme risks are often only assessed in a pairwise way. We propose a test for detecting situations when such pairwise measures are inadequate and give incomplete results. This occurs when a significant portion of the multivariate dependence...
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the stable tail dependence function, which is standard in extreme value theory for describing multivariate tail dependence …
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extreme value theory for describing multivariate tail dependence. The asymptotic properties of the test are provided and a … standard sample sizes. In an application to international government bonds, we detect a high tail{risk and low return situation … during the last decade which can essentially be attributed to increased higher-order tail risk. We also illustrate the …
Persistent link: https://www.econbiz.de/10010402973
The family of Liouville copulas is defined as the survival copulas of multivariate Liouville distributions, and it covers the Archimedean copulas constructed by Williamson’s d-transform. Liouville copulas provide a very wide range of dependence ranging from positive to negative dependence in...
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