{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DDOYSWUD7HPN6FG3FRYPHRAWZB","short_pith_number":"pith:DDOYSWUD","schema_version":"1.0","canonical_sha256":"18dd895a83f9dedf14db2c70f3c416c8569619f8a40b1b9723e4eca3856cf4c5","source":{"kind":"arxiv","id":"1205.1937","version":1},"attestation_state":"computed","paper":{"title":"Optimality of Non-Restarting CUSUM charts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Axel Gandy, F. Din-Houn Lau","submitted_at":"2012-05-09T11:01:32Z","abstract_excerpt":"We show optimality, in a well-defined sense, using cumulative sum (CUSUM) charts for detecting changes in distributions. We consider a setting with multiple changes between two known distributions. This result advocates the use of non-restarting CUSUM charts with an upper boundary. Typically, after signalling, a CUSUM chart is restarted by setting it to some value below the threshold. A non-restarting CUSUM chart is not reset after signalling; thus is able to signal continuously. Imposing an upper boundary prevents the CUSUM chart rising too high, which facilitates detection in our setting. We"},"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":"1205.1937","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-05-09T11:01:32Z","cross_cats_sorted":[],"title_canon_sha256":"a014094beb7799fab1673d618181508f7b538ddd3d7ff1319113c0f40eef2a24","abstract_canon_sha256":"d01dda5b4e7536ad01894520186a8b6e09d704a471329e08fe3e8b2a84f6b0e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:58.220411Z","signature_b64":"IWNZspEeMsUu+70e/7JS90+rj9BO2NUKtVyQIUtzzQHVXKyS/IAQg+TeoxNIuA4piNnbBxUPQ46wlkYw5FG+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18dd895a83f9dedf14db2c70f3c416c8569619f8a40b1b9723e4eca3856cf4c5","last_reissued_at":"2026-05-18T03:55:58.219877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:58.219877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimality of Non-Restarting CUSUM charts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Axel Gandy, F. Din-Houn Lau","submitted_at":"2012-05-09T11:01:32Z","abstract_excerpt":"We show optimality, in a well-defined sense, using cumulative sum (CUSUM) charts for detecting changes in distributions. We consider a setting with multiple changes between two known distributions. This result advocates the use of non-restarting CUSUM charts with an upper boundary. Typically, after signalling, a CUSUM chart is restarted by setting it to some value below the threshold. A non-restarting CUSUM chart is not reset after signalling; thus is able to signal continuously. Imposing an upper boundary prevents the CUSUM chart rising too high, which facilitates detection in our setting. We"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1937","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":"1205.1937","created_at":"2026-05-18T03:55:58.219963+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.1937v1","created_at":"2026-05-18T03:55:58.219963+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1937","created_at":"2026-05-18T03:55:58.219963+00:00"},{"alias_kind":"pith_short_12","alias_value":"DDOYSWUD7HPN","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"DDOYSWUD7HPN6FG3","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"DDOYSWUD","created_at":"2026-05-18T12:27:01.376967+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/DDOYSWUD7HPN6FG3FRYPHRAWZB","json":"https://pith.science/pith/DDOYSWUD7HPN6FG3FRYPHRAWZB.json","graph_json":"https://pith.science/api/pith-number/DDOYSWUD7HPN6FG3FRYPHRAWZB/graph.json","events_json":"https://pith.science/api/pith-number/DDOYSWUD7HPN6FG3FRYPHRAWZB/events.json","paper":"https://pith.science/paper/DDOYSWUD"},"agent_actions":{"view_html":"https://pith.science/pith/DDOYSWUD7HPN6FG3FRYPHRAWZB","download_json":"https://pith.science/pith/DDOYSWUD7HPN6FG3FRYPHRAWZB.json","view_paper":"https://pith.science/paper/DDOYSWUD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.1937&json=true","fetch_graph":"https://pith.science/api/pith-number/DDOYSWUD7HPN6FG3FRYPHRAWZB/graph.json","fetch_events":"https://pith.science/api/pith-number/DDOYSWUD7HPN6FG3FRYPHRAWZB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DDOYSWUD7HPN6FG3FRYPHRAWZB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DDOYSWUD7HPN6FG3FRYPHRAWZB/action/storage_attestation","attest_author":"https://pith.science/pith/DDOYSWUD7HPN6FG3FRYPHRAWZB/action/author_attestation","sign_citation":"https://pith.science/pith/DDOYSWUD7HPN6FG3FRYPHRAWZB/action/citation_signature","submit_replication":"https://pith.science/pith/DDOYSWUD7HPN6FG3FRYPHRAWZB/action/replication_record"}},"created_at":"2026-05-18T03:55:58.219963+00:00","updated_at":"2026-05-18T03:55:58.219963+00:00"}