{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:C4TKYVGD4URRHMEQXQTTJVDPDJ","short_pith_number":"pith:C4TKYVGD","schema_version":"1.0","canonical_sha256":"1726ac54c3e52313b090bc2734d46f1a5b4e17e44d4fadebfe48937430d06779","source":{"kind":"arxiv","id":"1509.02473","version":2},"attestation_state":"computed","paper":{"title":"A new non-parametric detector of univariate outliers for distributions with unbounded support","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Jean-Marc Bardet (SAMM), Solohaja-Faniaha Dimby (SAMM)","submitted_at":"2015-09-08T18:04:14Z","abstract_excerpt":"The purpose of this paper is to construct a new non-parametric detector of univariate outliers and to study its asymptotic properties. This detector is based on a Hill's type statistic. It satisfies a unique asymptotic behavior for a large set of probability distributions with positive unbounded support (for instance: for the absolute value of Gaussian, Gamma, Weibull, Student or regular variations distributions). We have illustrated our results by numerical simulations which show the accuracy of this detector with respect to other usual univariate outlier detectors (Tukey, MAD or Local Outlie"},"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":"1509.02473","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-09-08T18:04:14Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"636cac3a91f369639fbf14cf3af525a1ea8027c52cd986783fcf37eecd04a913","abstract_canon_sha256":"a02637a7201c0b8f1c45b6b90ccecf41b00736c59f87e6e5769be53c17b9235b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:08.609714Z","signature_b64":"45utoDCj4CBTcdMxN3aFGlr+sG8/iOxChNQtLvIOHj/NCCkGM5VdgH4cGl9SWI/v1Am2nka3V0itBPMPo785Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1726ac54c3e52313b090bc2734d46f1a5b4e17e44d4fadebfe48937430d06779","last_reissued_at":"2026-05-18T00:45:08.609117Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:08.609117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new non-parametric detector of univariate outliers for distributions with unbounded support","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Jean-Marc Bardet (SAMM), Solohaja-Faniaha Dimby (SAMM)","submitted_at":"2015-09-08T18:04:14Z","abstract_excerpt":"The purpose of this paper is to construct a new non-parametric detector of univariate outliers and to study its asymptotic properties. This detector is based on a Hill's type statistic. It satisfies a unique asymptotic behavior for a large set of probability distributions with positive unbounded support (for instance: for the absolute value of Gaussian, Gamma, Weibull, Student or regular variations distributions). We have illustrated our results by numerical simulations which show the accuracy of this detector with respect to other usual univariate outlier detectors (Tukey, MAD or Local Outlie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02473","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":"1509.02473","created_at":"2026-05-18T00:45:08.609206+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.02473v2","created_at":"2026-05-18T00:45:08.609206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02473","created_at":"2026-05-18T00:45:08.609206+00:00"},{"alias_kind":"pith_short_12","alias_value":"C4TKYVGD4URR","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"C4TKYVGD4URRHMEQ","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"C4TKYVGD","created_at":"2026-05-18T12:29:14.074870+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/C4TKYVGD4URRHMEQXQTTJVDPDJ","json":"https://pith.science/pith/C4TKYVGD4URRHMEQXQTTJVDPDJ.json","graph_json":"https://pith.science/api/pith-number/C4TKYVGD4URRHMEQXQTTJVDPDJ/graph.json","events_json":"https://pith.science/api/pith-number/C4TKYVGD4URRHMEQXQTTJVDPDJ/events.json","paper":"https://pith.science/paper/C4TKYVGD"},"agent_actions":{"view_html":"https://pith.science/pith/C4TKYVGD4URRHMEQXQTTJVDPDJ","download_json":"https://pith.science/pith/C4TKYVGD4URRHMEQXQTTJVDPDJ.json","view_paper":"https://pith.science/paper/C4TKYVGD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.02473&json=true","fetch_graph":"https://pith.science/api/pith-number/C4TKYVGD4URRHMEQXQTTJVDPDJ/graph.json","fetch_events":"https://pith.science/api/pith-number/C4TKYVGD4URRHMEQXQTTJVDPDJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C4TKYVGD4URRHMEQXQTTJVDPDJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C4TKYVGD4URRHMEQXQTTJVDPDJ/action/storage_attestation","attest_author":"https://pith.science/pith/C4TKYVGD4URRHMEQXQTTJVDPDJ/action/author_attestation","sign_citation":"https://pith.science/pith/C4TKYVGD4URRHMEQXQTTJVDPDJ/action/citation_signature","submit_replication":"https://pith.science/pith/C4TKYVGD4URRHMEQXQTTJVDPDJ/action/replication_record"}},"created_at":"2026-05-18T00:45:08.609206+00:00","updated_at":"2026-05-18T00:45:08.609206+00:00"}