{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5GK7RVFFZ3FKCH27AGPAJBXHOW","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":"3340ef980c77e8072421b725f85679b3e45796e7585ba28f820d36b4c5ba6587","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-01-12T11:44:14Z","title_canon_sha256":"b9f48d520faf0c83807a01cb3d44ea9060e23f1287ee44a0fd5024d35f22df0a"},"schema_version":"1.0","source":{"id":"1301.2677","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2677","created_at":"2026-05-18T03:02:17Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2677v4","created_at":"2026-05-18T03:02:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2677","created_at":"2026-05-18T03:02:17Z"},{"alias_kind":"pith_short_12","alias_value":"5GK7RVFFZ3FK","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5GK7RVFFZ3FKCH27","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5GK7RVFF","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:117cfb16bac86f00045085e53c5013dd294908af12300555c648eef8e639febd","target":"graph","created_at":"2026-05-18T03:02:17Z","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":"A method that uses order statistics to construct multivariate distributions with fixed marginals and which utilizes a representation of the Bernstein copula in terms of a finite mixture distribution is proposed. Expectation-maximization (EM) algorithms to estimate the Bernstein copula are proposed, and a local convergence property is proved. Moreover, asymptotic properties of the proposed semiparametric estimators are provided. Illustrative examples are presented using three real data sets and a 3-dimensional simulated data set. These studies show that the Bernstein copula is able to represent","authors_text":"Donald Richards, Gwo Dong Lin, Satoshi Kuriki, Xiaoling Dou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-01-12T11:44:14Z","title":"EM algorithms for estimating the Bernstein copula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2677","kind":"arxiv","version":4},"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":"sha256:8a140a0c31c9b7346a0190ee10f8b5dccab6b409f0c29cefee64252416713316","target":"record","created_at":"2026-05-18T03:02:17Z","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":"3340ef980c77e8072421b725f85679b3e45796e7585ba28f820d36b4c5ba6587","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-01-12T11:44:14Z","title_canon_sha256":"b9f48d520faf0c83807a01cb3d44ea9060e23f1287ee44a0fd5024d35f22df0a"},"schema_version":"1.0","source":{"id":"1301.2677","kind":"arxiv","version":4}},"canonical_sha256":"e995f8d4a5cecaa11f5f019e0486e775a9e3295f73fbf7edad4e678e2c8a954d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e995f8d4a5cecaa11f5f019e0486e775a9e3295f73fbf7edad4e678e2c8a954d","first_computed_at":"2026-05-18T03:02:17.778836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:17.778836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wT86VLMoTBOAae30vZR9b64prbMyUF92+4iBMkmb3hQggVZkPtilYIU9rRkJN5txmZWFmnWkqyuy60FsWkc9Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:17.779673Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2677","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a140a0c31c9b7346a0190ee10f8b5dccab6b409f0c29cefee64252416713316","sha256:117cfb16bac86f00045085e53c5013dd294908af12300555c648eef8e639febd"],"state_sha256":"91ff871ef5ef7c5ad5c1796a243ec9e60e523eb79be677aa6704d45107bdd355"}