{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:364MJAC56GD5ZCCEP3NL572766","short_pith_number":"pith:364MJAC5","schema_version":"1.0","canonical_sha256":"dfb8c4805df187dc88447edabeff5ff7a650284e73c33d2689674c0a125c4f57","source":{"kind":"arxiv","id":"0902.4796","version":1},"attestation_state":"computed","paper":{"title":"A Berry--Esseen theorem for sample quantiles under weak dependence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"S. N. Lahiri, S. Sun","submitted_at":"2009-02-27T10:48:27Z","abstract_excerpt":"This paper proves a Berry--Esseen theorem for sample quantiles of strongly-mixing random variables under a polynomial mixing rate. The rate of normal approximation is shown to be $O(n^{-1/2})$ as $n\\to\\infty$, where $n$ denotes the sample size. This result is in sharp contrast to the case of the sample mean of strongly-mixing random variables where the rate $O(n^{-1/2})$ is not known even under an exponential strong mixing rate. The main result of the paper has applications in finance and econometrics as financial time series data often are heavy-tailed and quantile based methods play an impor"},"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":"0902.4796","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-02-27T10:48:27Z","cross_cats_sorted":[],"title_canon_sha256":"381661f8d6d753447e680226a7e443c5dbec037550a483c482302d85bdf38eb4","abstract_canon_sha256":"d04958694f593439a0931e82c8bcc7f68abc8918a77a69f1ee98de40516714b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:38:51.478198Z","signature_b64":"uqDY9yw4Dyc79Hml7uxkwesxSz39wsNZ5eq7YU+akySarPmiQU4rHuRWjv68+EU35br1tYT12x4ZpTg4VZuvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfb8c4805df187dc88447edabeff5ff7a650284e73c33d2689674c0a125c4f57","last_reissued_at":"2026-07-04T15:38:51.477814Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:38:51.477814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Berry--Esseen theorem for sample quantiles under weak dependence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"S. N. Lahiri, S. Sun","submitted_at":"2009-02-27T10:48:27Z","abstract_excerpt":"This paper proves a Berry--Esseen theorem for sample quantiles of strongly-mixing random variables under a polynomial mixing rate. The rate of normal approximation is shown to be $O(n^{-1/2})$ as $n\\to\\infty$, where $n$ denotes the sample size. This result is in sharp contrast to the case of the sample mean of strongly-mixing random variables where the rate $O(n^{-1/2})$ is not known even under an exponential strong mixing rate. The main result of the paper has applications in finance and econometrics as financial time series data often are heavy-tailed and quantile based methods play an impor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.4796","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0902.4796/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"0902.4796","created_at":"2026-07-04T15:38:51.477866+00:00"},{"alias_kind":"arxiv_version","alias_value":"0902.4796v1","created_at":"2026-07-04T15:38:51.477866+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.4796","created_at":"2026-07-04T15:38:51.477866+00:00"},{"alias_kind":"pith_short_12","alias_value":"364MJAC56GD5","created_at":"2026-07-04T15:38:51.477866+00:00"},{"alias_kind":"pith_short_16","alias_value":"364MJAC56GD5ZCCE","created_at":"2026-07-04T15:38:51.477866+00:00"},{"alias_kind":"pith_short_8","alias_value":"364MJAC5","created_at":"2026-07-04T15:38:51.477866+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/364MJAC56GD5ZCCEP3NL572766","json":"https://pith.science/pith/364MJAC56GD5ZCCEP3NL572766.json","graph_json":"https://pith.science/api/pith-number/364MJAC56GD5ZCCEP3NL572766/graph.json","events_json":"https://pith.science/api/pith-number/364MJAC56GD5ZCCEP3NL572766/events.json","paper":"https://pith.science/paper/364MJAC5"},"agent_actions":{"view_html":"https://pith.science/pith/364MJAC56GD5ZCCEP3NL572766","download_json":"https://pith.science/pith/364MJAC56GD5ZCCEP3NL572766.json","view_paper":"https://pith.science/paper/364MJAC5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0902.4796&json=true","fetch_graph":"https://pith.science/api/pith-number/364MJAC56GD5ZCCEP3NL572766/graph.json","fetch_events":"https://pith.science/api/pith-number/364MJAC56GD5ZCCEP3NL572766/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/364MJAC56GD5ZCCEP3NL572766/action/timestamp_anchor","attest_storage":"https://pith.science/pith/364MJAC56GD5ZCCEP3NL572766/action/storage_attestation","attest_author":"https://pith.science/pith/364MJAC56GD5ZCCEP3NL572766/action/author_attestation","sign_citation":"https://pith.science/pith/364MJAC56GD5ZCCEP3NL572766/action/citation_signature","submit_replication":"https://pith.science/pith/364MJAC56GD5ZCCEP3NL572766/action/replication_record"}},"created_at":"2026-07-04T15:38:51.477866+00:00","updated_at":"2026-07-04T15:38:51.477866+00:00"}