{"paper":{"title":"Cram\\'er's theorem in measurable locally convex spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Pierre Petit","submitted_at":"2011-03-22T23:40:28Z","abstract_excerpt":"We give a general setting for Cram\\'er's large deviations theorem for the empirical means of a sequence of i.i.d. random vectors, which contains Cram\\'er's theorem in a Banach space and Sanov's theorem.\n  -----\n  Nous \\'etablissons un cadre g\\'en\\'eral pour le th\\'eor\\`eme de Cram\\'er sur les grandes d\\'eviations des moyennes empiriques d'une suite de vecteurs al\\'eatoires i.i.d., cadre qui contient le th\\'eor\\`eme de Cram\\'er dans les espaces de Banach s\\'eparables et le th\\'eor\\`eme de Sanov."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4416","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"}