{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LUONL4SIK5WCRMYS76Z6OCMRGE","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":"c073fa0560612362e5cf01347ecdd9444e1fea6695018e60494d24960b6d09d0","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-15T02:15:03Z","title_canon_sha256":"72b5d552adfc611a198cac541dd0bc8ecf3bfb723b4fc9f097a39fb3c2d549b0"},"schema_version":"1.0","source":{"id":"1711.05381","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05381","created_at":"2026-05-18T00:30:33Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05381v1","created_at":"2026-05-18T00:30:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05381","created_at":"2026-05-18T00:30:33Z"},{"alias_kind":"pith_short_12","alias_value":"LUONL4SIK5WC","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LUONL4SIK5WCRMYS","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LUONL4SI","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:431edc766fbc3f4693461f4f8c1a05d65838e31055b1ea9bd0e2159885be8d99","target":"graph","created_at":"2026-05-18T00:30:33Z","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":"Heavy-tailed errors impair the accuracy of the least squares estimate, which can be spoiled by a single grossly outlying observation. As argued in the seminal work of Peter Huber in 1973 [{\\it Ann. Statist.} {\\bf 1} (1973) 799--821], robust alternatives to the method of least squares are sorely needed. To achieve robustness against heavy-tailed sampling distributions, we revisit the Huber estimator from a new perspective by letting the tuning parameter involved diverge with the sample size. In this paper, we develop nonasymptotic concentration results for such an adaptive Huber estimator, name","authors_text":"Han Liu, Jianqing Fan, Koushiki Bose, Wen-Xin Zhou","cross_cats":["stat.ME","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-15T02:15:03Z","title":"A New Perspective on Robust $M$-Estimation: Finite Sample Theory and Applications to Dependence-Adjusted Multiple Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05381","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":"sha256:8ade6043f9b6bc532330517f9b1426bb335cabb39fee98cc07d4a8e91967081c","target":"record","created_at":"2026-05-18T00:30:33Z","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":"c073fa0560612362e5cf01347ecdd9444e1fea6695018e60494d24960b6d09d0","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-15T02:15:03Z","title_canon_sha256":"72b5d552adfc611a198cac541dd0bc8ecf3bfb723b4fc9f097a39fb3c2d549b0"},"schema_version":"1.0","source":{"id":"1711.05381","kind":"arxiv","version":1}},"canonical_sha256":"5d1cd5f248576c28b312ffb3e709913109f1c6c2845b01e684245d9e77249420","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d1cd5f248576c28b312ffb3e709913109f1c6c2845b01e684245d9e77249420","first_computed_at":"2026-05-18T00:30:33.447490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:33.447490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PHeElaeb2em3BZYVtjufc1EOWPj14xm5Df9CiKV5jw4jKYYCHDhpjvSSY4jgZm2kdtRRBaXrreCvRtRNu7duAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:33.448264Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05381","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ade6043f9b6bc532330517f9b1426bb335cabb39fee98cc07d4a8e91967081c","sha256:431edc766fbc3f4693461f4f8c1a05d65838e31055b1ea9bd0e2159885be8d99"],"state_sha256":"5782b288012d0b5be888e4001559289413c30bd30ae378ff7ea078797f084415"}