In this paper we shall give an alternative derivation of the coe cient of tail dependence introduced by Ledford and Tawn [1996, Biometrika 83, 169 -187] and propose a consistent estimator, which is asymptotically normal.
Examples for the coefficient of tail dependence and the domain of attraction of a bivariate extreme value distribution
β Scribed by Martin Schlather
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 102 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
β¦ Synopsis
The tail behaviour of many bivariate distributions with unit FrΓ echet margins can be characterised by the coe cient 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.
π SIMILAR VOLUMES
The paper considers the problem of estimating the dependence function of a bivariate extreme survival function with standard exponential marginals. Nonparametric estimators for the dependence function are proposed and their strong uniform convergence under suitable conditions is demonstrated. Compar