Tail estimation of the stable index α
✍ Scribed by S. Mittnik; S.T. Rachev
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 291 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0893-9659
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📜 SIMILAR VOLUMES
An estimator is proposed for the index a of a stable distribution (0 < a ~< 2) and the asymmetry parameter p (0 ~< p ~< 1 ) based on a sample from a probability distribution in the domain of attraction of the stable distribution.
In this paper, and in a context of regularly varying tails, we analyse particular but interesting cases of the maximum likelihood and least squares estimators proposed by Feuerverger and Hall (Ann. Statist. 27 (1999) 760). All these estimators are alternatives to a well-known estimator of the tail i
It is well known that a bivariate distribution belongs to the domain of attraction of an extreme value distribution G if and only if the marginals belong to the domain of attraction of the univariate marginal extreme value distributions and the dependence function converges to the stable tail depend