{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LJZOKYJVXCX6YT4XCE2QAGB4DF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ee9b11ba1ad1530758e407474b3be938969baf6968cf90c1fd3487cf47266f12","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2019-01-28T14:19:16Z","title_canon_sha256":"cb31d434c760b93c50448862dd2c18c6099877b9183e4a8e2c56d8b4d103d866"},"schema_version":"1.0","source":{"id":"1901.09665","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.09665","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"arxiv_version","alias_value":"1901.09665v1","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.09665","created_at":"2026-05-17T23:55:24Z"},{"alias_kind":"pith_short_12","alias_value":"LJZOKYJVXCX6","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LJZOKYJVXCX6YT4X","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LJZOKYJV","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:72bf62cef50bc89fffeda42d4a1ae2446ec8d07de9761f78e4fb8253ee5cb19b","target":"graph","created_at":"2026-05-17T23:55:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Large sample size equivalence between the celebrated {\\it approximated} Good-Turing estimator of the probability to discover a species already observed a certain number of times (Good, 1953) and the modern Bayesian nonparametric counterpart has been recently established by virtue of a particular smoothing rule based on the two-parameter Poisson-Dirichlet model. Here we improve on this result showing that, for any finite sample size, when the population frequencies are assumed to be selected from a superpopulation with two-parameter Poisson-Dirichlet distribution, then Bayesian nonparametric es","authors_text":"Annalisa Cerquetti","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2019-01-28T14:19:16Z","title":"Exact Good-Turing characterization of the two-parameter Poisson-Dirichlet superpopulation model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.09665","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3f2d29432ce59d9f2f1e3ae7e68085660cb35c3304048e96e12eec3401a2d715","target":"record","created_at":"2026-05-17T23:55:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ee9b11ba1ad1530758e407474b3be938969baf6968cf90c1fd3487cf47266f12","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2019-01-28T14:19:16Z","title_canon_sha256":"cb31d434c760b93c50448862dd2c18c6099877b9183e4a8e2c56d8b4d103d866"},"schema_version":"1.0","source":{"id":"1901.09665","kind":"arxiv","version":1}},"canonical_sha256":"5a72e56135b8afec4f97113500183c1963b6e751cf706cf7231df7a877652ad0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a72e56135b8afec4f97113500183c1963b6e751cf706cf7231df7a877652ad0","first_computed_at":"2026-05-17T23:55:24.159433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:24.159433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xa/3FncnItwZdI9Y6g+dBYbDZJ6D0UA5+lfvbwtmAMewwOy1g+quJVaRPLRY0nqEBG7l9YyLsLtiCbz2HqL8Aw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:24.160029Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.09665","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f2d29432ce59d9f2f1e3ae7e68085660cb35c3304048e96e12eec3401a2d715","sha256:72bf62cef50bc89fffeda42d4a1ae2446ec8d07de9761f78e4fb8253ee5cb19b"],"state_sha256":"fa855231cd4b0e0c0a9245cd04f82bbaf175e7443aa7f9bb22a0de8b088dd800"}