{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YTKI4BCTQNWTN5ONJOVRFR3VOX","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":"df42d9e2a3d925986925b0fbb8475d3b974b9586700c3c7fe48d078e68a7038c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-22T11:29:53Z","title_canon_sha256":"28488d2cda7cd92039e5e63dbb3afcb4e29ae1cc708aaa401081500555cc2f19"},"schema_version":"1.0","source":{"id":"1610.07037","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07037","created_at":"2026-05-18T01:01:35Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07037v1","created_at":"2026-05-18T01:01:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07037","created_at":"2026-05-18T01:01:35Z"},{"alias_kind":"pith_short_12","alias_value":"YTKI4BCTQNWT","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YTKI4BCTQNWTN5ON","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YTKI4BCT","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:009de17f67be4401bcfcb1b5602259915eeadd892a665ebd4fa71e30df028d5f","target":"graph","created_at":"2026-05-18T01:01:35Z","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 fairly general class of Bayesian \"large-error\" lower bounds of the Weiss-Weinstein family, essentially free from regularity conditions on the probability density functions support, and for which a limiting form yields a generalized Bayesian Cramer-Rao bound (BCRB), is introduced. In a large number of cases, the generalized BCRB appears to be the Bobrovsky-Mayer-Wolf-Zakai bound (BMZB). Interestingly enough, a regularized form of the Bobrovsky-Zakai bound (BZB), applicable when the support of the prior is a constrained parameter set, is obtained. Modified Weiss-Weinstein bound and BZB which l","authors_text":"Alexandre Renaux, Eric Chaumette, Mohammed Nabil El Korso","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-22T11:29:53Z","title":"A class of Weiss-Weinstein bounds and its relationship with the Bobrovsky-Mayer-Wolf-Zakai bounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07037","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:effa6f3ef75f622a2bef93093768965bb1702d1d5124fb328fc0d18340eda9e0","target":"record","created_at":"2026-05-18T01:01:35Z","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":"df42d9e2a3d925986925b0fbb8475d3b974b9586700c3c7fe48d078e68a7038c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-22T11:29:53Z","title_canon_sha256":"28488d2cda7cd92039e5e63dbb3afcb4e29ae1cc708aaa401081500555cc2f19"},"schema_version":"1.0","source":{"id":"1610.07037","kind":"arxiv","version":1}},"canonical_sha256":"c4d48e0453836d36f5cd4bab12c77575c2238800f0e970fd4a0b8f0f2dc0f2bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4d48e0453836d36f5cd4bab12c77575c2238800f0e970fd4a0b8f0f2dc0f2bc","first_computed_at":"2026-05-18T01:01:35.363789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:35.363789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pRPF6iBnvq7PLNicpSrBG3+GqIY/Aal/l86eCRtO3lmBJeeb0pVCnqTgOb5xhYFmiA02uTYzCc84jAWOm+wwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:35.364379Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.07037","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:effa6f3ef75f622a2bef93093768965bb1702d1d5124fb328fc0d18340eda9e0","sha256:009de17f67be4401bcfcb1b5602259915eeadd892a665ebd4fa71e30df028d5f"],"state_sha256":"f8ef55c723fc36a080ca40d1d49da526ee8293b1beebff6198dc2c16e95a1f36"}