Multivariate extreme models based on underlying skew-t and skew-normal distributions
We derive for the first time the limiting distribution of maxima of skew-t random vectors and we show that its limiting case, as the degree of freedom goes to infinity, is the skewed version of the well-known Hüsler-Reiss model. The advantage of the new families of models is that they are particularly flexible, allowing for both symmetric and asymmetric dependence structures and permitting the modelling of multivariate extremes with dimensions greater than two.
Year of publication: |
2011
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Authors: | Padoan, Simone A. |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 102.2011, 5, p. 977-991
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Publisher: |
Elsevier |
Keywords: | Extreme values Extreme copulas Max-stable distribution Pickands dependence function Skew-normal distribution Skew-t distribution Spatial extremes Tail dependence function |
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