{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:4PBLR3ZGHOOD4LPBLOPGA4W5E4","short_pith_number":"pith:4PBLR3ZG","schema_version":"1.0","canonical_sha256":"e3c2b8ef263b9c3e2de15b9e6072dd27207bda4944a66a14e01338a4ecfa33fb","source":{"kind":"arxiv","id":"1608.02246","version":1},"attestation_state":"computed","paper":{"title":"Cram\\'er type moderate deviations for intermediate trimmed means","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Nadezhda Gribkova","submitted_at":"2016-08-07T17:27:28Z","abstract_excerpt":"In this article we establish Cram\\'er type moderate deviation results for (intermediate) trimmed means $T_n=n^{-1} \\sum_{i=k_n+1}^{n-m_n}X_{i:n}$, where $X_{i:n}$ -- the order statistics corresponding to the first $n$ observations of a~sequence $X_1,X_2,\\dots $ of i.i.d random variables with $df$ $F$. We consider two cases of intermediate and heavy trimming. In the former case, when $\\max(\\alpha_n,\\beta_n)\\to 0$ ($\\alpha_n=k_n/n$, $\\beta_n=m_n/n$) and $\\min(k_n,m_n)\\to\\infty$ as $n\\to\\infty$, we obtain our results under a~natural moment condition and a~mild condition on the rate at which $\\alp"},"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":"1608.02246","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-08-07T17:27:28Z","cross_cats_sorted":[],"title_canon_sha256":"42ef7481cc77526a82b243ce4c17ec262fadf1509cd3049ff73623122072dde7","abstract_canon_sha256":"501a4389bc62be9c88ae66470bb5056ad76f4d3d3b7231a57fd23e2ddb2b1238"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:40.656982Z","signature_b64":"xkjdMyZ2Xc/ZAeaxlyWH8+CvkWNIYmDurgWfeYBxmCD1I8brFW9aTDD/JfkCX1Wklj2SdJheas5zb7b/kDrNBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3c2b8ef263b9c3e2de15b9e6072dd27207bda4944a66a14e01338a4ecfa33fb","last_reissued_at":"2026-05-18T01:09:40.656332Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:40.656332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cram\\'er type moderate deviations for intermediate trimmed means","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Nadezhda Gribkova","submitted_at":"2016-08-07T17:27:28Z","abstract_excerpt":"In this article we establish Cram\\'er type moderate deviation results for (intermediate) trimmed means $T_n=n^{-1} \\sum_{i=k_n+1}^{n-m_n}X_{i:n}$, where $X_{i:n}$ -- the order statistics corresponding to the first $n$ observations of a~sequence $X_1,X_2,\\dots $ of i.i.d random variables with $df$ $F$. We consider two cases of intermediate and heavy trimming. In the former case, when $\\max(\\alpha_n,\\beta_n)\\to 0$ ($\\alpha_n=k_n/n$, $\\beta_n=m_n/n$) and $\\min(k_n,m_n)\\to\\infty$ as $n\\to\\infty$, we obtain our results under a~natural moment condition and a~mild condition on the rate at which $\\alp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02246","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":"1608.02246","created_at":"2026-05-18T01:09:40.656436+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.02246v1","created_at":"2026-05-18T01:09:40.656436+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02246","created_at":"2026-05-18T01:09:40.656436+00:00"},{"alias_kind":"pith_short_12","alias_value":"4PBLR3ZGHOOD","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"4PBLR3ZGHOOD4LPB","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"4PBLR3ZG","created_at":"2026-05-18T12:29:58.707656+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/4PBLR3ZGHOOD4LPBLOPGA4W5E4","json":"https://pith.science/pith/4PBLR3ZGHOOD4LPBLOPGA4W5E4.json","graph_json":"https://pith.science/api/pith-number/4PBLR3ZGHOOD4LPBLOPGA4W5E4/graph.json","events_json":"https://pith.science/api/pith-number/4PBLR3ZGHOOD4LPBLOPGA4W5E4/events.json","paper":"https://pith.science/paper/4PBLR3ZG"},"agent_actions":{"view_html":"https://pith.science/pith/4PBLR3ZGHOOD4LPBLOPGA4W5E4","download_json":"https://pith.science/pith/4PBLR3ZGHOOD4LPBLOPGA4W5E4.json","view_paper":"https://pith.science/paper/4PBLR3ZG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.02246&json=true","fetch_graph":"https://pith.science/api/pith-number/4PBLR3ZGHOOD4LPBLOPGA4W5E4/graph.json","fetch_events":"https://pith.science/api/pith-number/4PBLR3ZGHOOD4LPBLOPGA4W5E4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4PBLR3ZGHOOD4LPBLOPGA4W5E4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4PBLR3ZGHOOD4LPBLOPGA4W5E4/action/storage_attestation","attest_author":"https://pith.science/pith/4PBLR3ZGHOOD4LPBLOPGA4W5E4/action/author_attestation","sign_citation":"https://pith.science/pith/4PBLR3ZGHOOD4LPBLOPGA4W5E4/action/citation_signature","submit_replication":"https://pith.science/pith/4PBLR3ZGHOOD4LPBLOPGA4W5E4/action/replication_record"}},"created_at":"2026-05-18T01:09:40.656436+00:00","updated_at":"2026-05-18T01:09:40.656436+00:00"}