Examples for the coefficient of tail dependence and the domain of attraction of a bivariate extreme value distribution
The tail behaviour of many bivariate distributions with unit Fréchet margins can be characterised by the coefficient of tail dependence and a slowly varying function. We show that such a characterisation is not always possible, and neither implies nor is implied by the fact that the distribution belongs to the domain of attraction of a bivariate extreme value distribution.
Year of publication: |
2001
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Authors: | Schlather, Martin |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 53.2001, 3, p. 325-329
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Publisher: |
Elsevier |
Keywords: | Domain of attraction Bivariate extreme value distribution Coefficient of tail dependence Unit Fréchet margin |
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