{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:UT6MQZD6OS5NCDWBBC32WT4KCD","short_pith_number":"pith:UT6MQZD6","schema_version":"1.0","canonical_sha256":"a4fcc8647e74bad10ec108b7ab4f8a10d91e5b998660ab2b8579c3386cfda3ea","source":{"kind":"arxiv","id":"1607.00624","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic Bayesian Theory of Quickest Change Detection for Hidden Markov Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Alexander G. Tartakovsky, Chen-Der Fuh","submitted_at":"2016-07-03T11:19:39Z","abstract_excerpt":"In the 1960s, Shiryaev developed a Bayesian theory of change-point detection in the i.i.d. case, which was generalized in the beginning of the 2000s by Tartakovsky and Veeravalli for general stochastic models assuming a certain stability of the log-likelihood ratio process. Hidden Markov models represent a wide class of stochastic processes that are very useful in a variety of applications. In this paper, we investigate the performance of the Bayesian Shiryaev change-point detection rule for hidden Markov models. We propose a set of regularity conditions under which the Shiryaev procedure is f"},"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":"1607.00624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-07-03T11:19:39Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"e503f05db4f190b2ceb1357aa5a3ff40c32fc32dd5b00e33699709744bac7b92","abstract_canon_sha256":"b459f97203ac84e4f68b382ed10bb28dc8bfe6fae702aea17aa7cb7c4ff8f1f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:34.589057Z","signature_b64":"JW88nSkq9PxcyTmloKm8g8GlRtjVUjz09JyoAeLDq8Z/1IRPbsBNJX/b/YeP+gIVsAUZi16fhk7AbwDkshHsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4fcc8647e74bad10ec108b7ab4f8a10d91e5b998660ab2b8579c3386cfda3ea","last_reissued_at":"2026-05-18T01:11:34.588534Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:34.588534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic Bayesian Theory of Quickest Change Detection for Hidden Markov Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Alexander G. Tartakovsky, Chen-Der Fuh","submitted_at":"2016-07-03T11:19:39Z","abstract_excerpt":"In the 1960s, Shiryaev developed a Bayesian theory of change-point detection in the i.i.d. case, which was generalized in the beginning of the 2000s by Tartakovsky and Veeravalli for general stochastic models assuming a certain stability of the log-likelihood ratio process. Hidden Markov models represent a wide class of stochastic processes that are very useful in a variety of applications. In this paper, we investigate the performance of the Bayesian Shiryaev change-point detection rule for hidden Markov models. We propose a set of regularity conditions under which the Shiryaev procedure is f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00624","kind":"arxiv","version":1},"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":"1607.00624","created_at":"2026-05-18T01:11:34.588606+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.00624v1","created_at":"2026-05-18T01:11:34.588606+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00624","created_at":"2026-05-18T01:11:34.588606+00:00"},{"alias_kind":"pith_short_12","alias_value":"UT6MQZD6OS5N","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"UT6MQZD6OS5NCDWB","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"UT6MQZD6","created_at":"2026-05-18T12:30:46.583412+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/UT6MQZD6OS5NCDWBBC32WT4KCD","json":"https://pith.science/pith/UT6MQZD6OS5NCDWBBC32WT4KCD.json","graph_json":"https://pith.science/api/pith-number/UT6MQZD6OS5NCDWBBC32WT4KCD/graph.json","events_json":"https://pith.science/api/pith-number/UT6MQZD6OS5NCDWBBC32WT4KCD/events.json","paper":"https://pith.science/paper/UT6MQZD6"},"agent_actions":{"view_html":"https://pith.science/pith/UT6MQZD6OS5NCDWBBC32WT4KCD","download_json":"https://pith.science/pith/UT6MQZD6OS5NCDWBBC32WT4KCD.json","view_paper":"https://pith.science/paper/UT6MQZD6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.00624&json=true","fetch_graph":"https://pith.science/api/pith-number/UT6MQZD6OS5NCDWBBC32WT4KCD/graph.json","fetch_events":"https://pith.science/api/pith-number/UT6MQZD6OS5NCDWBBC32WT4KCD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UT6MQZD6OS5NCDWBBC32WT4KCD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UT6MQZD6OS5NCDWBBC32WT4KCD/action/storage_attestation","attest_author":"https://pith.science/pith/UT6MQZD6OS5NCDWBBC32WT4KCD/action/author_attestation","sign_citation":"https://pith.science/pith/UT6MQZD6OS5NCDWBBC32WT4KCD/action/citation_signature","submit_replication":"https://pith.science/pith/UT6MQZD6OS5NCDWBBC32WT4KCD/action/replication_record"}},"created_at":"2026-05-18T01:11:34.588606+00:00","updated_at":"2026-05-18T01:11:34.588606+00:00"}