{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:P2UVXD4SD6B7MEHGAYP7FJZ3GU","short_pith_number":"pith:P2UVXD4S","schema_version":"1.0","canonical_sha256":"7ea95b8f921f83f610e6061ff2a73b352ce43ad5b07d30beaaf78d00690059e1","source":{"kind":"arxiv","id":"1502.03955","version":2},"attestation_state":"computed","paper":{"title":"Nelson-Aalen tail product-limit process and extreme value index estimation under random censorship","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Abdelhakim Necir, Brahim Brahimi, Djamel Meraghni","submitted_at":"2015-02-13T11:57:38Z","abstract_excerpt":"On the basis of Nelson-Aalen nonparametric estimator of the cumulative distribution function, we provide a weak approximation to tail product-limit process for randomly right-censored heavy-tailed data. In this context, a new consistent reduced-bias estimator of the extreme value index is introduced and its asymptotic normality is established only by assuming the second-order regular variation of the underlying distribution function. A simulation study shows that the newly proposed estimator performs better than the existing ones."},"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":"1502.03955","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2015-02-13T11:57:38Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"e53ebe321c6ffb283c85ef4cc0fc45e0e8cfcea7c263a2ba7fd3baaa60633a00","abstract_canon_sha256":"9e6a355cf972705a98ec3c29571c96e06ce822d4cec81da424649e82f9c8075a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:40.152665Z","signature_b64":"vVuH/ccVvRFIw2y5aoGwMNgTDtTRpOCt7X/dOfMRo5ZTKJB93YAxQFuuAv1J0xc+D9ArvvKTLDI2XmeNd2lgAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ea95b8f921f83f610e6061ff2a73b352ce43ad5b07d30beaaf78d00690059e1","last_reissued_at":"2026-05-18T01:10:40.152103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:40.152103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nelson-Aalen tail product-limit process and extreme value index estimation under random censorship","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Abdelhakim Necir, Brahim Brahimi, Djamel Meraghni","submitted_at":"2015-02-13T11:57:38Z","abstract_excerpt":"On the basis of Nelson-Aalen nonparametric estimator of the cumulative distribution function, we provide a weak approximation to tail product-limit process for randomly right-censored heavy-tailed data. In this context, a new consistent reduced-bias estimator of the extreme value index is introduced and its asymptotic normality is established only by assuming the second-order regular variation of the underlying distribution function. A simulation study shows that the newly proposed estimator performs better than the existing ones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03955","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":"1502.03955","created_at":"2026-05-18T01:10:40.152182+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.03955v2","created_at":"2026-05-18T01:10:40.152182+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03955","created_at":"2026-05-18T01:10:40.152182+00:00"},{"alias_kind":"pith_short_12","alias_value":"P2UVXD4SD6B7","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"P2UVXD4SD6B7MEHG","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"P2UVXD4S","created_at":"2026-05-18T12:29:34.919912+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/P2UVXD4SD6B7MEHGAYP7FJZ3GU","json":"https://pith.science/pith/P2UVXD4SD6B7MEHGAYP7FJZ3GU.json","graph_json":"https://pith.science/api/pith-number/P2UVXD4SD6B7MEHGAYP7FJZ3GU/graph.json","events_json":"https://pith.science/api/pith-number/P2UVXD4SD6B7MEHGAYP7FJZ3GU/events.json","paper":"https://pith.science/paper/P2UVXD4S"},"agent_actions":{"view_html":"https://pith.science/pith/P2UVXD4SD6B7MEHGAYP7FJZ3GU","download_json":"https://pith.science/pith/P2UVXD4SD6B7MEHGAYP7FJZ3GU.json","view_paper":"https://pith.science/paper/P2UVXD4S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.03955&json=true","fetch_graph":"https://pith.science/api/pith-number/P2UVXD4SD6B7MEHGAYP7FJZ3GU/graph.json","fetch_events":"https://pith.science/api/pith-number/P2UVXD4SD6B7MEHGAYP7FJZ3GU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P2UVXD4SD6B7MEHGAYP7FJZ3GU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P2UVXD4SD6B7MEHGAYP7FJZ3GU/action/storage_attestation","attest_author":"https://pith.science/pith/P2UVXD4SD6B7MEHGAYP7FJZ3GU/action/author_attestation","sign_citation":"https://pith.science/pith/P2UVXD4SD6B7MEHGAYP7FJZ3GU/action/citation_signature","submit_replication":"https://pith.science/pith/P2UVXD4SD6B7MEHGAYP7FJZ3GU/action/replication_record"}},"created_at":"2026-05-18T01:10:40.152182+00:00","updated_at":"2026-05-18T01:10:40.152182+00:00"}