{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:KGPVZL66QEWYS67CLAUOOUTCYR","short_pith_number":"pith:KGPVZL66","schema_version":"1.0","canonical_sha256":"519f5cafde812d897be25828e75262c456fd52b5878917bcd85edeae6a167baf","source":{"kind":"arxiv","id":"0812.3698","version":2},"attestation_state":"computed","paper":{"title":"Immigrated urn models - asymptotic properties and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Feifang Hu, Li-Xin Zhang, Siu Hung Cheung, Wei Sum Chan","submitted_at":"2008-12-19T02:46:42Z","abstract_excerpt":"Urn models have been widely studied and applied in both scientific and social science disciplines. In clinical studies, the adoption of urn models in treatment allocation schemes has been proved to be beneficial to both researchers, by providing more efficient clinical trials, and patients, by increasing the likelihood of receiving the better treatment. In this paper, we propose a new and general class of immigrated urn (IMU) models that incorporates the immigration mechanism into the urn process. Theoretical properties are developed and the advantages of the IMU models are discussed. In gener"},"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":"0812.3698","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2008-12-19T02:46:42Z","cross_cats_sorted":["math.PR","stat.ME","stat.TH"],"title_canon_sha256":"eadbb14daef9d8afb3bc7758d120d404fe87647a0b61e50db07dd9defe69760a","abstract_canon_sha256":"4fe72303e598bdda586d7d0fcccb1352597893effc37a19f7ae16169790a4cd6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:56.653687Z","signature_b64":"9dahz+LxMrlsx0JEHxKA544GO+lgvoi4RGujQvu6EBl8FEHYcFK4iE1U+ejckTVjyH28TkFTM+RyDfd/42kdDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"519f5cafde812d897be25828e75262c456fd52b5878917bcd85edeae6a167baf","last_reissued_at":"2026-05-18T02:24:56.653050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:56.653050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Immigrated urn models - asymptotic properties and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Feifang Hu, Li-Xin Zhang, Siu Hung Cheung, Wei Sum Chan","submitted_at":"2008-12-19T02:46:42Z","abstract_excerpt":"Urn models have been widely studied and applied in both scientific and social science disciplines. In clinical studies, the adoption of urn models in treatment allocation schemes has been proved to be beneficial to both researchers, by providing more efficient clinical trials, and patients, by increasing the likelihood of receiving the better treatment. In this paper, we propose a new and general class of immigrated urn (IMU) models that incorporates the immigration mechanism into the urn process. Theoretical properties are developed and the advantages of the IMU models are discussed. In gener"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.3698","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0812.3698","created_at":"2026-05-18T02:24:56.653131+00:00"},{"alias_kind":"arxiv_version","alias_value":"0812.3698v2","created_at":"2026-05-18T02:24:56.653131+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.3698","created_at":"2026-05-18T02:24:56.653131+00:00"},{"alias_kind":"pith_short_12","alias_value":"KGPVZL66QEWY","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"KGPVZL66QEWYS67C","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"KGPVZL66","created_at":"2026-05-18T12:25:57.157939+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/KGPVZL66QEWYS67CLAUOOUTCYR","json":"https://pith.science/pith/KGPVZL66QEWYS67CLAUOOUTCYR.json","graph_json":"https://pith.science/api/pith-number/KGPVZL66QEWYS67CLAUOOUTCYR/graph.json","events_json":"https://pith.science/api/pith-number/KGPVZL66QEWYS67CLAUOOUTCYR/events.json","paper":"https://pith.science/paper/KGPVZL66"},"agent_actions":{"view_html":"https://pith.science/pith/KGPVZL66QEWYS67CLAUOOUTCYR","download_json":"https://pith.science/pith/KGPVZL66QEWYS67CLAUOOUTCYR.json","view_paper":"https://pith.science/paper/KGPVZL66","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0812.3698&json=true","fetch_graph":"https://pith.science/api/pith-number/KGPVZL66QEWYS67CLAUOOUTCYR/graph.json","fetch_events":"https://pith.science/api/pith-number/KGPVZL66QEWYS67CLAUOOUTCYR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KGPVZL66QEWYS67CLAUOOUTCYR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KGPVZL66QEWYS67CLAUOOUTCYR/action/storage_attestation","attest_author":"https://pith.science/pith/KGPVZL66QEWYS67CLAUOOUTCYR/action/author_attestation","sign_citation":"https://pith.science/pith/KGPVZL66QEWYS67CLAUOOUTCYR/action/citation_signature","submit_replication":"https://pith.science/pith/KGPVZL66QEWYS67CLAUOOUTCYR/action/replication_record"}},"created_at":"2026-05-18T02:24:56.653131+00:00","updated_at":"2026-05-18T02:24:56.653131+00:00"}