{"paper":{"title":"Uniform rates of the Glivenko-Cantelli convergence and their use in approximating Bayesian inferences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Emanuele Dolera, Eugenio Regazzini","submitted_at":"2017-12-20T08:42:35Z","abstract_excerpt":"This paper deals with the problem of quantifying the approximation a probability measure by means of an empirical (in a wide sense) random probability measure, depending on the first n terms of a sequence of random elements. In Section 2, one studies the range of oscillation near zero of the Wasserstein distance $\\ud^{(p)}_{\\pms}$ between $\\pfrak_0$ and $\\hat{\\pfrak}_n$, assuming that the $\\xitil_i$'s are i.i.d. with $\\pfrak_0$ as common law. Theorem 2.3 deals with the case in which $\\pfrak_0$ is fixed as a generic element of the space of all probability measures on $(\\rd, \\mathscr{B}(\\rd))$ a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07361","kind":"arxiv","version":2},"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"}