{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:YIIU5PEI2AND37HA3XBSVGQQ4A","short_pith_number":"pith:YIIU5PEI","schema_version":"1.0","canonical_sha256":"c2114ebc88d01a3dfce0ddc32a9a10e013a5e53073cfcf1a1313c0f49e22a945","source":{"kind":"arxiv","id":"1410.4097","version":3},"attestation_state":"computed","paper":{"title":"Extreme value statistics for truncated Pareto-type distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Isabel Fraga Alves, Ivette Gomes, Jan Beirlant, Mark M. Meerschaert","submitted_at":"2014-10-15T15:19:00Z","abstract_excerpt":"Recently attention has been drawn to practical problems with the use of unbounded Pareto distributions, for instance when there are natural upper bounds that truncate the probability tail. Aban, Meerschaert and Panorska (2006) derived the maximum likelihood estimator for the Pareto tail index of a truncated Pareto distribution with a right truncation point $T$. The Hill (1975) estimator is then obtained by letting $T \\to \\infty$. The problem of extreme value estimation under right truncation was also introduced in Nuyts (2010) who proposed a similar estimator for the tail index and considered "},"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":"1410.4097","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-10-15T15:19:00Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"9759e0bfb0b3300cd6996d2f453ceb873d3dedbf1eccf4a97649ad76544eafe9","abstract_canon_sha256":"13541b4a0fb4e671707ace5d8adcc918c7563536d0e78b7843661cdd0f47deb9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:39.604972Z","signature_b64":"aHdna3kBksBUfKQmLwKPyx0+wpuOPMRsCOwpBRQTLXAJQ6HXv1ZxAYIA7MCNE3LVy2wJz0vVLh3IQlRa5SkfDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2114ebc88d01a3dfce0ddc32a9a10e013a5e53073cfcf1a1313c0f49e22a945","last_reissued_at":"2026-05-18T02:30:39.604405Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:39.604405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extreme value statistics for truncated Pareto-type distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Isabel Fraga Alves, Ivette Gomes, Jan Beirlant, Mark M. Meerschaert","submitted_at":"2014-10-15T15:19:00Z","abstract_excerpt":"Recently attention has been drawn to practical problems with the use of unbounded Pareto distributions, for instance when there are natural upper bounds that truncate the probability tail. Aban, Meerschaert and Panorska (2006) derived the maximum likelihood estimator for the Pareto tail index of a truncated Pareto distribution with a right truncation point $T$. The Hill (1975) estimator is then obtained by letting $T \\to \\infty$. The problem of extreme value estimation under right truncation was also introduced in Nuyts (2010) who proposed a similar estimator for the tail index and considered "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4097","kind":"arxiv","version":3},"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":"1410.4097","created_at":"2026-05-18T02:30:39.604505+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.4097v3","created_at":"2026-05-18T02:30:39.604505+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4097","created_at":"2026-05-18T02:30:39.604505+00:00"},{"alias_kind":"pith_short_12","alias_value":"YIIU5PEI2AND","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"YIIU5PEI2AND37HA","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"YIIU5PEI","created_at":"2026-05-18T12:28:57.508820+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/YIIU5PEI2AND37HA3XBSVGQQ4A","json":"https://pith.science/pith/YIIU5PEI2AND37HA3XBSVGQQ4A.json","graph_json":"https://pith.science/api/pith-number/YIIU5PEI2AND37HA3XBSVGQQ4A/graph.json","events_json":"https://pith.science/api/pith-number/YIIU5PEI2AND37HA3XBSVGQQ4A/events.json","paper":"https://pith.science/paper/YIIU5PEI"},"agent_actions":{"view_html":"https://pith.science/pith/YIIU5PEI2AND37HA3XBSVGQQ4A","download_json":"https://pith.science/pith/YIIU5PEI2AND37HA3XBSVGQQ4A.json","view_paper":"https://pith.science/paper/YIIU5PEI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.4097&json=true","fetch_graph":"https://pith.science/api/pith-number/YIIU5PEI2AND37HA3XBSVGQQ4A/graph.json","fetch_events":"https://pith.science/api/pith-number/YIIU5PEI2AND37HA3XBSVGQQ4A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YIIU5PEI2AND37HA3XBSVGQQ4A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YIIU5PEI2AND37HA3XBSVGQQ4A/action/storage_attestation","attest_author":"https://pith.science/pith/YIIU5PEI2AND37HA3XBSVGQQ4A/action/author_attestation","sign_citation":"https://pith.science/pith/YIIU5PEI2AND37HA3XBSVGQQ4A/action/citation_signature","submit_replication":"https://pith.science/pith/YIIU5PEI2AND37HA3XBSVGQQ4A/action/replication_record"}},"created_at":"2026-05-18T02:30:39.604505+00:00","updated_at":"2026-05-18T02:30:39.604505+00:00"}