The class of bivariate extreme value copulas, which satisΓΏes the monotone regression positive dependence property or equivalently the stochastic increasing property, is considered. A variational calculus proof of the Hutchinson-Lai conjecture about Kendall's tau and Spearman's rho for this class is
β¦ LIBER β¦
Extreme value attractors for star unimodal copulas
β Scribed by Ioan Cuculescu; Radu Theodorescu
- Book ID
- 104447307
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 51 KB
- Volume
- 334
- Category
- Article
- ISSN
- 1631-073X
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β¦ Synopsis
We determine maximum attractors for copulas star (or 2-) unimodal (about a point (a, b) β R 2 ). If (a, b) = (1, 1) these attractors form a two-parameter family of copulas extending that of Cuadras-AugΓ©, whereas if (a, b) = (1, 1) they cover all maximum value copulas. We also examine the relationship between unimodality and Archimax copulas. To cite this article: I.
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