{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YQLNL5WSCH2P5QKJUVF46BJCWT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b32ce8a1188c0572acd90b19d1ae940e32d0edd938001d3a7c3af27b567d05ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-08-23T11:36:27Z","title_canon_sha256":"483641bd852239f6afc9510c33c658bf5a35f5a358c9d9349dca30fa8d96e2aa"},"schema_version":"1.0","source":{"id":"1808.07704","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.07704","created_at":"2026-05-18T00:07:24Z"},{"alias_kind":"arxiv_version","alias_value":"1808.07704v1","created_at":"2026-05-18T00:07:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07704","created_at":"2026-05-18T00:07:24Z"},{"alias_kind":"pith_short_12","alias_value":"YQLNL5WSCH2P","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YQLNL5WSCH2P5QKJ","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YQLNL5WS","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:19578c9906f4a6ad51a8751d2b4397006fb3489af3eba817b075bbdc79089274","target":"graph","created_at":"2026-05-18T00:07:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We introduce a trimmed version of the Hill estimator for the index of a heavy-tailed distribution, which is robust to perturbations in the extreme order statistics. In the ideal Pareto setting, the estimator is essentially finite-sample efficient among all unbiased estimators with a given strict upper break-down point. For general heavy-tailed models, we establish the asymptotic normality of the estimator under second order regular variation conditions and also show it is minimax rate-optimal in the Hall class of distributions. We also develop an automatic, data-driven method for the choice of","authors_text":"Michael Kallitsis, Shrijita Bhattacharya, Stilian Stoev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-08-23T11:36:27Z","title":"Data-adaptive trimming of the Hill estimator and detection of outliers in the extremes of heavy-tailed data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07704","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0e264676878bb203272b0eb211be7738193d10b02ddb8abd9ff90395d5633920","target":"record","created_at":"2026-05-18T00:07:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b32ce8a1188c0572acd90b19d1ae940e32d0edd938001d3a7c3af27b567d05ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-08-23T11:36:27Z","title_canon_sha256":"483641bd852239f6afc9510c33c658bf5a35f5a358c9d9349dca30fa8d96e2aa"},"schema_version":"1.0","source":{"id":"1808.07704","kind":"arxiv","version":1}},"canonical_sha256":"c416d5f6d211f4fec149a54bcf0522b4c85f159723fc61350fad6fa79f12195a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c416d5f6d211f4fec149a54bcf0522b4c85f159723fc61350fad6fa79f12195a","first_computed_at":"2026-05-18T00:07:24.464222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:24.464222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0GVbummxOT3tma3xh6TFaF6KnIIIW7kgNHpEKsHK01dDGFHSmgOPl9E8dhWi9ZJkZLoaVzyemIIrpVGhCTvkAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:24.464932Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.07704","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e264676878bb203272b0eb211be7738193d10b02ddb8abd9ff90395d5633920","sha256:19578c9906f4a6ad51a8751d2b4397006fb3489af3eba817b075bbdc79089274"],"state_sha256":"de804560d197fde3fe0eacd4c5dded36a292b570af1b62e94e483cb0544471c7"}