{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:OE42K52DQAN3LKE5QYGKZWLF5D","short_pith_number":"pith:OE42K52D","schema_version":"1.0","canonical_sha256":"7139a57743801bb5a89d860cacd965e8e01631fb2f2ae38d6d5c51a4a922038b","source":{"kind":"arxiv","id":"1602.01269","version":1},"attestation_state":"computed","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1602.01269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-02-03T11:28:31Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"2f713c363c6f93b19edcd37fc13e4eee2114c442217601ad81d4c1e127c613de","abstract_canon_sha256":"9daaf114db28d74ae7b3d0d6e18d154e5a5085e7e814bcd6c25ecefbd27626fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:20.636169Z","signature_b64":"awXHjM1xqCa7Pkplm70wDzFnoIH2o0l/WRveJ5VOmXgXro6S6gROgU5s0d00AzUky1hy5PORW5L631IFKIASDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7139a57743801bb5a89d860cacd965e8e01631fb2f2ae38d6d5c51a4a922038b","last_reissued_at":"2026-05-18T01:21:20.635478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:20.635478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1602.01269","created_at":"2026-05-18T01:21:20.635605+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.01269v1","created_at":"2026-05-18T01:21:20.635605+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01269","created_at":"2026-05-18T01:21:20.635605+00:00"},{"alias_kind":"pith_short_12","alias_value":"OE42K52DQAN3","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"OE42K52DQAN3LKE5","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"OE42K52D","created_at":"2026-05-18T12:30:36.002864+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OE42K52DQAN3LKE5QYGKZWLF5D","json":"https://pith.science/pith/OE42K52DQAN3LKE5QYGKZWLF5D.json","graph_json":"https://pith.science/api/pith-number/OE42K52DQAN3LKE5QYGKZWLF5D/graph.json","events_json":"https://pith.science/api/pith-number/OE42K52DQAN3LKE5QYGKZWLF5D/events.json","paper":"https://pith.science/paper/OE42K52D"},"agent_actions":{"view_html":"https://pith.science/pith/OE42K52DQAN3LKE5QYGKZWLF5D","download_json":"https://pith.science/pith/OE42K52DQAN3LKE5QYGKZWLF5D.json","view_paper":"https://pith.science/paper/OE42K52D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.01269&json=true","fetch_graph":"https://pith.science/api/pith-number/OE42K52DQAN3LKE5QYGKZWLF5D/graph.json","fetch_events":"https://pith.science/api/pith-number/OE42K52DQAN3LKE5QYGKZWLF5D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OE42K52DQAN3LKE5QYGKZWLF5D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OE42K52DQAN3LKE5QYGKZWLF5D/action/storage_attestation","attest_author":"https://pith.science/pith/OE42K52DQAN3LKE5QYGKZWLF5D/action/author_attestation","sign_citation":"https://pith.science/pith/OE42K52DQAN3LKE5QYGKZWLF5D/action/citation_signature","submit_replication":"https://pith.science/pith/OE42K52DQAN3LKE5QYGKZWLF5D/action/replication_record"}},"created_at":"2026-05-18T01:21:20.635605+00:00","updated_at":"2026-05-18T01:21:20.635605+00:00"}