{"paper":{"title":"On all Pickands Dependence Functions whose corresponding Extreme-Value-Copulas have Spearman $\\rho$ (Kendall $\\tau$) identical to some value $v \\in [0,1]$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Christian Genest, Noppadon Kamnitui, Wolfgang Trutschnig","submitted_at":"2018-01-23T17:24:34Z","abstract_excerpt":"We answer an open question posed by the second author at the Salzburg workshop on Dependence Models and Copulas in 2016 concerning the size of the family $\\mathcal{A}^\\rho_v$ ($\\mathcal{A}^\\tau_v$) of all Pickands dependence functions $A$ whose corresponding Extreme-Value-Copulas have Spearman $\\rho$ (Kendall $\\tau$) equal to some arbitrary, fixed value $v \\in [0,1]$. After determining compact sets $\\Omega^\\rho_v, \\Omega^\\tau_v \\subseteq [0,1] \\times [\\frac{1}{2},1]$ containing the graphs of all Pickands dependence functions from the classes $\\mathcal{A}^\\rho_v$ and $\\mathcal{A}^\\tau_v$ respec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07665","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}