{"paper":{"title":"Frequentistic approximations to Bayesian prevision of exchangeable random elements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Donato Michele Cifarelli, Emanuele Dolera, Eugenio Regazzini","submitted_at":"2016-02-03T11:28:31Z","abstract_excerpt":"Given a sequence \\xi_1, \\xi_2,... of X-valued, exchangeable random elements, let q(\\xi^(n)) and p_m(\\xi^(n)) stand for posterior and predictive distribution, respectively, given \\xi^(n) = (\\xi_1,..., \\xi_n). We provide an upper bound for limsup b_n d_[[X]](q(\\xi^(n)), \\delta_\\empiricn) and limsup b_n d_[X^m](p_m(\\xi^(n)), \\empiricn^m), where \\empiricn is the empirical measure, b_n is a suitable sequence of positive numbers increasing to +\\infty, d_[[X]] and d_[X^m] denote distinguished weak probability distances on [[X]] and [X^m], respectively, with the proviso that [S] denotes the space of a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01269","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"}