{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IWMXG73FZNNDIAKBTQV3WGFJPG","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":"1715ae146c6c0eb36b20d9ebfa5b4083eb735b8369ea67ec9f5a0ef6f902f5b4","cross_cats_sorted":["math.ST","stat.OT","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-12-16T12:22:29Z","title_canon_sha256":"1391eda1dd2e7eb9fb6afd0fd18ae5f6bc5ba9a4750fe56ea5ea5c7e4431afbe"},"schema_version":"1.0","source":{"id":"1112.3777","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3777","created_at":"2026-05-18T04:06:08Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3777v1","created_at":"2026-05-18T04:06:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3777","created_at":"2026-05-18T04:06:08Z"},{"alias_kind":"pith_short_12","alias_value":"IWMXG73FZNND","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IWMXG73FZNNDIAKB","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IWMXG73F","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:7c97597e5cd17ff7bbd8f6863c42400a30413666e07fc8b26090e01acb240a81","target":"graph","created_at":"2026-05-18T04:06:08Z","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":"This paper proposes consistent and asymptotically Gaussian estimators for the drift, the diffusion coefficient and the Hurst exponent of the discretely observed fractional Ornstein-Uhlenbeck process. For the estimation of the drift, the results are obtained only in the case when 1/2 < H < 3/4. This paper also provides ready-to-use software for the R statistical environment based on the YUIMA package.","authors_text":"Alexandre Brouste, Stefano M. Iacus","cross_cats":["math.ST","stat.OT","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-12-16T12:22:29Z","title":"Parameter estimation for the discretely observed fractional Ornstein-Uhlenbeck process and the Yuima R package"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3777","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":"sha256:28e80dd7c2b3767d317c6bbc4db323c02ede1c376ede72ef6706ddc057b6e1ec","target":"record","created_at":"2026-05-18T04:06:08Z","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":"1715ae146c6c0eb36b20d9ebfa5b4083eb735b8369ea67ec9f5a0ef6f902f5b4","cross_cats_sorted":["math.ST","stat.OT","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2011-12-16T12:22:29Z","title_canon_sha256":"1391eda1dd2e7eb9fb6afd0fd18ae5f6bc5ba9a4750fe56ea5ea5c7e4431afbe"},"schema_version":"1.0","source":{"id":"1112.3777","kind":"arxiv","version":1}},"canonical_sha256":"4599737f65cb5a3401419c2bbb18a979a001a41b148c49b7b1fe0c25854d23fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4599737f65cb5a3401419c2bbb18a979a001a41b148c49b7b1fe0c25854d23fb","first_computed_at":"2026-05-18T04:06:08.825219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:08.825219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m5QNvz+1PxBc0lYthawLtVFLIMUVx4XAtgiRne3a5Ks7AsTwO7ABPD9YMsRq4lBV2I6lHyEMN//kQBRzngw7Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:08.825862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3777","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28e80dd7c2b3767d317c6bbc4db323c02ede1c376ede72ef6706ddc057b6e1ec","sha256:7c97597e5cd17ff7bbd8f6863c42400a30413666e07fc8b26090e01acb240a81"],"state_sha256":"4e132dc0071049d1dbb2dce6c3262ac251633d21dbb5d63c8d8b3ce3bd7c96f2"}