{"paper":{"title":"Polynomial Eulerian shape distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Francisco J. Caro-Lopera, Jos\\'e A. D\\'iaz-Garc\\'ia","submitted_at":"2015-02-03T04:49:07Z","abstract_excerpt":"In this paper a new approach is derived in the context of shape theory. The implemented methodology is motivated in an open problem proposed in \\citet{GM93} about the construction of certain shape density involving Euler hypergeometric functions of matrix arguments.\n  The associated distribution is obtained by establishing a connection between the required shape invariants and a known result on canonical correlations available since 1963; as usual in statistical shape theory and the addressed result, the densities are expressed in terms of infinite series of zonal polynomials which involves co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00738","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"}