Characterizing Schur-concave commutative copulas as the closure of associative ones
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866913118294114304 |
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| author | Úbeda-Flores, Manuel |
| author_facet | Úbeda-Flores, Manuel |
| contents | Let $\mathcal{C}_a$ denote the class of associative copulas, and let $\overline{\mathcal{C}}_a$ be the closure, in the uniform metric $d_\infty$, of the convex hull of $\mathcal{C}_a$ . It is known that $\mathcal{C}_a \subseteq \mathcal{C}_{SC}$, the class of Schur-concave commutative copulas. We prove the reverse inclusion, establishing $\overline{\mathcal{C}}_a = \mathcal{C}_{SC}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02858 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characterizing Schur-concave commutative copulas as the closure of associative ones Úbeda-Flores, Manuel Statistics Theory Let $\mathcal{C}_a$ denote the class of associative copulas, and let $\overline{\mathcal{C}}_a$ be the closure, in the uniform metric $d_\infty$, of the convex hull of $\mathcal{C}_a$ . It is known that $\mathcal{C}_a \subseteq \mathcal{C}_{SC}$, the class of Schur-concave commutative copulas. We prove the reverse inclusion, establishing $\overline{\mathcal{C}}_a = \mathcal{C}_{SC}$. |
| title | Characterizing Schur-concave commutative copulas as the closure of associative ones |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2605.02858 |