{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:WFTTSSVVFI7V5HVFG36L3IJEKC","short_pith_number":"pith:WFTTSSVV","schema_version":"1.0","canonical_sha256":"b167394ab52a3f5e9ea536fcbda12450923bd877f5c3a92c0ce184e58a2ed04e","source":{"kind":"arxiv","id":"0811.0697","version":2},"attestation_state":"computed","paper":{"title":"Residual empirical processes for long and short memory time series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Ngai Hang Chan, Shiqing Ling","submitted_at":"2008-11-05T11:03:09Z","abstract_excerpt":"This paper studies the residual empirical process of long- and short-memory time series regression models and establishes its uniform expansion under a general framework. The results are applied to the stochastic regression models and unstable autoregressive models. For the long-memory noise, it is shown that the limit distribution of the Kolmogorov-Smirnov test statistic studied in Ho and Hsing [Ann. Statist. 24 (1996) 992-1024] does not hold when the stochastic regression model includes an unknown intercept or when the characteristic polynomial of the unstable autoregressive model has a unit"},"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":"0811.0697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2008-11-05T11:03:09Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"6b2a9ecbb9674b7fc6af174c03c59f9cad7a226a36f444751a1c3f7191fbaa1a","abstract_canon_sha256":"69e84ba2fb68bcf3bac74ccb07893b28caa1c122c25e38a32f757aa2471bfb03"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:49.929976Z","signature_b64":"FeJmmCDinQbNmTX84eduEF5iu/OOjm7U8tjgABmLIbVVIvcQnF2ks+XKLcd7LVPEoC3nd8ggXmYvBxgvNWLrBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b167394ab52a3f5e9ea536fcbda12450923bd877f5c3a92c0ce184e58a2ed04e","last_reissued_at":"2026-05-18T03:40:49.929301Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:49.929301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Residual empirical processes for long and short memory time series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Ngai Hang Chan, Shiqing Ling","submitted_at":"2008-11-05T11:03:09Z","abstract_excerpt":"This paper studies the residual empirical process of long- and short-memory time series regression models and establishes its uniform expansion under a general framework. The results are applied to the stochastic regression models and unstable autoregressive models. For the long-memory noise, it is shown that the limit distribution of the Kolmogorov-Smirnov test statistic studied in Ho and Hsing [Ann. Statist. 24 (1996) 992-1024] does not hold when the stochastic regression model includes an unknown intercept or when the characteristic polynomial of the unstable autoregressive model has a unit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0697","kind":"arxiv","version":2},"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":"0811.0697","created_at":"2026-05-18T03:40:49.929422+00:00"},{"alias_kind":"arxiv_version","alias_value":"0811.0697v2","created_at":"2026-05-18T03:40:49.929422+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0697","created_at":"2026-05-18T03:40:49.929422+00:00"},{"alias_kind":"pith_short_12","alias_value":"WFTTSSVVFI7V","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"WFTTSSVVFI7V5HVF","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"WFTTSSVV","created_at":"2026-05-18T12:25:58.018023+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/WFTTSSVVFI7V5HVFG36L3IJEKC","json":"https://pith.science/pith/WFTTSSVVFI7V5HVFG36L3IJEKC.json","graph_json":"https://pith.science/api/pith-number/WFTTSSVVFI7V5HVFG36L3IJEKC/graph.json","events_json":"https://pith.science/api/pith-number/WFTTSSVVFI7V5HVFG36L3IJEKC/events.json","paper":"https://pith.science/paper/WFTTSSVV"},"agent_actions":{"view_html":"https://pith.science/pith/WFTTSSVVFI7V5HVFG36L3IJEKC","download_json":"https://pith.science/pith/WFTTSSVVFI7V5HVFG36L3IJEKC.json","view_paper":"https://pith.science/paper/WFTTSSVV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0811.0697&json=true","fetch_graph":"https://pith.science/api/pith-number/WFTTSSVVFI7V5HVFG36L3IJEKC/graph.json","fetch_events":"https://pith.science/api/pith-number/WFTTSSVVFI7V5HVFG36L3IJEKC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WFTTSSVVFI7V5HVFG36L3IJEKC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WFTTSSVVFI7V5HVFG36L3IJEKC/action/storage_attestation","attest_author":"https://pith.science/pith/WFTTSSVVFI7V5HVFG36L3IJEKC/action/author_attestation","sign_citation":"https://pith.science/pith/WFTTSSVVFI7V5HVFG36L3IJEKC/action/citation_signature","submit_replication":"https://pith.science/pith/WFTTSSVVFI7V5HVFG36L3IJEKC/action/replication_record"}},"created_at":"2026-05-18T03:40:49.929422+00:00","updated_at":"2026-05-18T03:40:49.929422+00:00"}