{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:M2ND3I6ZCDZVABT7DIQM24URNF","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":"b2d8409cbfc475d173fbd7360c3a960f1057db9697d5614653198f0ae3a0d3bb","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-04-22T07:13:38Z","title_canon_sha256":"8e570abdc942e335e723a39762096241d726b32c367decdcc88f91b5639ec792"},"schema_version":"1.0","source":{"id":"1904.09750","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.09750","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"arxiv_version","alias_value":"1904.09750v1","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09750","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"pith_short_12","alias_value":"M2ND3I6ZCDZV","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"M2ND3I6ZCDZVABT7","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"M2ND3I6Z","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:54f5189f04b289bae568cfd1ccecd2c1c2280c7f0d53ada79c2e516ed81fcd71","target":"graph","created_at":"2026-05-17T23:48:03Z","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":"We present results on parameter estimation and non-parameter estimation of the linear partially observed Gaussian system of stochastic differential equations. We propose new one-step estimators which have the same asymptotic properties as the MLE, but much more simple to calculate, the estimators are so-called \"estimator-processes\". The construction of the estimators is based on the equations of Kalman-Bucy filtration and the asymptotic corresponds to the small noises in the observations and state (hidden process) equations. We propose conditions which provide the consistency and asymptotic no","authors_text":"Li Zhou, Yury A. Kutoyants","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-04-22T07:13:38Z","title":"On Parameter Estimation of the Hidden Gaussian Process in perturbed SDE"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09750","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":"sha256:6e4cc7d74a1d8f9bb416ab8e8576290f4987e1170ea076d3bd848428a98bed7b","target":"record","created_at":"2026-05-17T23:48:03Z","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":"b2d8409cbfc475d173fbd7360c3a960f1057db9697d5614653198f0ae3a0d3bb","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-04-22T07:13:38Z","title_canon_sha256":"8e570abdc942e335e723a39762096241d726b32c367decdcc88f91b5639ec792"},"schema_version":"1.0","source":{"id":"1904.09750","kind":"arxiv","version":1}},"canonical_sha256":"669a3da3d910f350067f1a20cd7291697bde512b019b57ff0796fb1cfb69ff39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"669a3da3d910f350067f1a20cd7291697bde512b019b57ff0796fb1cfb69ff39","first_computed_at":"2026-05-17T23:48:03.439070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:03.439070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vzdYdCZXRbscHvT1Gz9lOqXs4vTWKjLQt4SinSy7hQ4RIdieVmzWu+XY1LPBtktUZUJO23BbZF/ECbH/X3vRAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:03.439604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.09750","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e4cc7d74a1d8f9bb416ab8e8576290f4987e1170ea076d3bd848428a98bed7b","sha256:54f5189f04b289bae568cfd1ccecd2c1c2280c7f0d53ada79c2e516ed81fcd71"],"state_sha256":"9c0073d87b7918f4c72e2342526ffb6a7028f117725b686a857c52decea4bf1d"}