{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:4KPOZ2MMRRGII3PCZNTPCOFZF4","short_pith_number":"pith:4KPOZ2MM","schema_version":"1.0","canonical_sha256":"e29eece98c8c4c846de2cb66f138b92f0e2adacd906a7445bbc55bc5775f3beb","source":{"kind":"arxiv","id":"0908.4119","version":1},"attestation_state":"computed","paper":{"title":"Numerical Comparison of Cusum and Shiryaev-Roberts Procedures for Detecting Changes in Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Aleksey S. Polunchenko, Alexander G. Tartakovsky, George V. Moustakides","submitted_at":"2009-08-28T00:44:32Z","abstract_excerpt":"The CUSUM procedure is known to be optimal for detecting a change in distribution under a minimax scenario, whereas the Shiryaev-Roberts procedure is optimal for detecting a change that occurs at a distant time horizon. As a simpler alternative to the conventional Monte Carlo approach, we propose a numerical method for the systematic comparison of the two detection schemes in both settings, i.e., minimax and for detecting changes that occur in the distant future. Our goal is accomplished by deriving a set of exact integral equations for the performance metrics, which are then solved numericall"},"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":"0908.4119","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2009-08-28T00:44:32Z","cross_cats_sorted":[],"title_canon_sha256":"a8d40421f64544667669731a1cb7e6a6d1e55624cad64666ced30d62ee215c83","abstract_canon_sha256":"7af209e27ef2bc1a2e2e52953f5008df682510a56351f2b1135d0f6058b63956"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:07.200394Z","signature_b64":"fkp/VtTAym3uJwh5sKIxM0wYPgFsjJ7noV6eSPSKcKPiRECwentdKILAfIEXntr0IeaD8GWsoFPTsIULqvd0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e29eece98c8c4c846de2cb66f138b92f0e2adacd906a7445bbc55bc5775f3beb","last_reissued_at":"2026-05-18T04:13:07.199781Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:07.199781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical Comparison of Cusum and Shiryaev-Roberts Procedures for Detecting Changes in Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Aleksey S. Polunchenko, Alexander G. Tartakovsky, George V. Moustakides","submitted_at":"2009-08-28T00:44:32Z","abstract_excerpt":"The CUSUM procedure is known to be optimal for detecting a change in distribution under a minimax scenario, whereas the Shiryaev-Roberts procedure is optimal for detecting a change that occurs at a distant time horizon. As a simpler alternative to the conventional Monte Carlo approach, we propose a numerical method for the systematic comparison of the two detection schemes in both settings, i.e., minimax and for detecting changes that occur in the distant future. Our goal is accomplished by deriving a set of exact integral equations for the performance metrics, which are then solved numericall"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4119","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":"0908.4119","created_at":"2026-05-18T04:13:07.199869+00:00"},{"alias_kind":"arxiv_version","alias_value":"0908.4119v1","created_at":"2026-05-18T04:13:07.199869+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4119","created_at":"2026-05-18T04:13:07.199869+00:00"},{"alias_kind":"pith_short_12","alias_value":"4KPOZ2MMRRGI","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"4KPOZ2MMRRGII3PC","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"4KPOZ2MM","created_at":"2026-05-18T12:25:58.837520+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/4KPOZ2MMRRGII3PCZNTPCOFZF4","json":"https://pith.science/pith/4KPOZ2MMRRGII3PCZNTPCOFZF4.json","graph_json":"https://pith.science/api/pith-number/4KPOZ2MMRRGII3PCZNTPCOFZF4/graph.json","events_json":"https://pith.science/api/pith-number/4KPOZ2MMRRGII3PCZNTPCOFZF4/events.json","paper":"https://pith.science/paper/4KPOZ2MM"},"agent_actions":{"view_html":"https://pith.science/pith/4KPOZ2MMRRGII3PCZNTPCOFZF4","download_json":"https://pith.science/pith/4KPOZ2MMRRGII3PCZNTPCOFZF4.json","view_paper":"https://pith.science/paper/4KPOZ2MM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0908.4119&json=true","fetch_graph":"https://pith.science/api/pith-number/4KPOZ2MMRRGII3PCZNTPCOFZF4/graph.json","fetch_events":"https://pith.science/api/pith-number/4KPOZ2MMRRGII3PCZNTPCOFZF4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4KPOZ2MMRRGII3PCZNTPCOFZF4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4KPOZ2MMRRGII3PCZNTPCOFZF4/action/storage_attestation","attest_author":"https://pith.science/pith/4KPOZ2MMRRGII3PCZNTPCOFZF4/action/author_attestation","sign_citation":"https://pith.science/pith/4KPOZ2MMRRGII3PCZNTPCOFZF4/action/citation_signature","submit_replication":"https://pith.science/pith/4KPOZ2MMRRGII3PCZNTPCOFZF4/action/replication_record"}},"created_at":"2026-05-18T04:13:07.199869+00:00","updated_at":"2026-05-18T04:13:07.199869+00:00"}