{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:U34XNKYCMRXUTHUU3S73XRW6WW","short_pith_number":"pith:U34XNKYC","schema_version":"1.0","canonical_sha256":"a6f976ab02646f499e94dcbfbbc6deb582205ea8b9be100666353e93ef0aa8e6","source":{"kind":"arxiv","id":"1304.1030","version":1},"attestation_state":"computed","paper":{"title":"A note on a Bayesian nonparametric estimator of the discovery probability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Annalisa Cerquetti","submitted_at":"2013-04-03T17:47:43Z","abstract_excerpt":"Favaro, Lijoi, and Pruenster (2012, Biometrics, 68, 1188--1196) derive a novel Bayesian nonparametric estimator of the probability of detecting at the $(n+m+1)$th observation a species already observed with any given frequency in an enlarged sample of size $n+m$, conditionally on a basic sample of size $n$. Unfortunately the general result under Gibbs priors (Theorem 2), and consequently the explicit result under $(\\alpha, \\theta)$ Poisson-Dirichlet priors (Proposition 3), appear to be wrong. Here we provide the correct formulas for both the results, obtained by means of a new technique devise"},"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":"1304.1030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-04-03T17:47:43Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"72405a790df885e44d1782806a02cf35a0e2d9ff4bd56eea60cd0515253b7b97","abstract_canon_sha256":"45565a652a961cb89e73e135dbbdfc2e28780c922bef3ee9d986440fbbdd9079"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:05.502889Z","signature_b64":"yiGL2x+oNPqeqNMWMI9xpxyIz8MRxY5N8F/3sZJqJGQAPGlS8HJ/tidAwxRQdDxo3ns0kSVRqGVqvk0FukBNBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6f976ab02646f499e94dcbfbbc6deb582205ea8b9be100666353e93ef0aa8e6","last_reissued_at":"2026-05-18T03:29:05.502418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:05.502418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on a Bayesian nonparametric estimator of the discovery probability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Annalisa Cerquetti","submitted_at":"2013-04-03T17:47:43Z","abstract_excerpt":"Favaro, Lijoi, and Pruenster (2012, Biometrics, 68, 1188--1196) derive a novel Bayesian nonparametric estimator of the probability of detecting at the $(n+m+1)$th observation a species already observed with any given frequency in an enlarged sample of size $n+m$, conditionally on a basic sample of size $n$. Unfortunately the general result under Gibbs priors (Theorem 2), and consequently the explicit result under $(\\alpha, \\theta)$ Poisson-Dirichlet priors (Proposition 3), appear to be wrong. Here we provide the correct formulas for both the results, obtained by means of a new technique devise"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1030","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":"1304.1030","created_at":"2026-05-18T03:29:05.502491+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.1030v1","created_at":"2026-05-18T03:29:05.502491+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1030","created_at":"2026-05-18T03:29:05.502491+00:00"},{"alias_kind":"pith_short_12","alias_value":"U34XNKYCMRXU","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"U34XNKYCMRXUTHUU","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"U34XNKYC","created_at":"2026-05-18T12:28:02.375192+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/U34XNKYCMRXUTHUU3S73XRW6WW","json":"https://pith.science/pith/U34XNKYCMRXUTHUU3S73XRW6WW.json","graph_json":"https://pith.science/api/pith-number/U34XNKYCMRXUTHUU3S73XRW6WW/graph.json","events_json":"https://pith.science/api/pith-number/U34XNKYCMRXUTHUU3S73XRW6WW/events.json","paper":"https://pith.science/paper/U34XNKYC"},"agent_actions":{"view_html":"https://pith.science/pith/U34XNKYCMRXUTHUU3S73XRW6WW","download_json":"https://pith.science/pith/U34XNKYCMRXUTHUU3S73XRW6WW.json","view_paper":"https://pith.science/paper/U34XNKYC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.1030&json=true","fetch_graph":"https://pith.science/api/pith-number/U34XNKYCMRXUTHUU3S73XRW6WW/graph.json","fetch_events":"https://pith.science/api/pith-number/U34XNKYCMRXUTHUU3S73XRW6WW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U34XNKYCMRXUTHUU3S73XRW6WW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U34XNKYCMRXUTHUU3S73XRW6WW/action/storage_attestation","attest_author":"https://pith.science/pith/U34XNKYCMRXUTHUU3S73XRW6WW/action/author_attestation","sign_citation":"https://pith.science/pith/U34XNKYCMRXUTHUU3S73XRW6WW/action/citation_signature","submit_replication":"https://pith.science/pith/U34XNKYCMRXUTHUU3S73XRW6WW/action/replication_record"}},"created_at":"2026-05-18T03:29:05.502491+00:00","updated_at":"2026-05-18T03:29:05.502491+00:00"}