We determine maximum attractors for copulas star (or 2-) unimodal (about a point (a, b) ∈ R 2 ). If (a, b) = (1, 1) these attractors form a two-parameter family of copulas extending that of Cuadras-Augé, whereas if (a, b) = (1, 1) they cover all maximum value copulas. We also examine the relationshi
Hutchinson-Lai's conjecture for bivariate extreme value copulas
✍ Scribed by Werner Hürlimann
- Book ID
- 104302020
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 133 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
The class of bivariate extreme value copulas, which satisÿes 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 provided.
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