{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NBNBROS2ESBVCXOAFWBTKBSQJM","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":"864cacd2e46c972cc6313fb3b7120ba48c66eccfb470e59ea887aa57a51e49fa","cross_cats_sorted":["stat.ME","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-10-30T07:07:17Z","title_canon_sha256":"1739030bf27a7f47d2e3758be064cf56bc4bb649fb2322305b9ee3e11ead557f"},"schema_version":"1.0","source":{"id":"1510.08986","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08986","created_at":"2026-05-18T01:12:00Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08986v2","created_at":"2026-05-18T01:12:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08986","created_at":"2026-05-18T01:12:00Z"},{"alias_kind":"pith_short_12","alias_value":"NBNBROS2ESBV","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NBNBROS2ESBVCXOA","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NBNBROS2","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:b300fae0d30121964f59acf4f8ea3823c5d3960ee8dd86f92a03f7deb400f2e0","target":"graph","created_at":"2026-05-18T01:12:00Z","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 propose a new inferential framework for constructing confidence regions and testing hypotheses in statistical models specified by a system of high dimensional estimating equations. We construct an influence function by projecting the fitted estimating equations to a sparse direction obtained by solving a large-scale linear program. Our main theoretical contribution is to establish a unified Z-estimation theory of confidence regions for high dimensional problems.\n  Different from existing methods, all of which require the specification of the likelihood or pseudo-likelihood, our framework is","authors_text":"Han Liu, Jun S. Liu, Matey Neykov, Yang Ning","cross_cats":["stat.ME","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-10-30T07:07:17Z","title":"A Unified Theory of Confidence Regions and Testing for High Dimensional Estimating Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08986","kind":"arxiv","version":2},"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":"sha256:9e0ab90dbae9d89217500ed7dbe1e61937030e48845b20dc2a006f4f35bc4b25","target":"record","created_at":"2026-05-18T01:12:00Z","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":"864cacd2e46c972cc6313fb3b7120ba48c66eccfb470e59ea887aa57a51e49fa","cross_cats_sorted":["stat.ME","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-10-30T07:07:17Z","title_canon_sha256":"1739030bf27a7f47d2e3758be064cf56bc4bb649fb2322305b9ee3e11ead557f"},"schema_version":"1.0","source":{"id":"1510.08986","kind":"arxiv","version":2}},"canonical_sha256":"685a18ba5a2483515dc02d833506504b17eaade3cf9608ab660236d84c5006b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"685a18ba5a2483515dc02d833506504b17eaade3cf9608ab660236d84c5006b8","first_computed_at":"2026-05-18T01:12:00.292902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:00.292902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eZGLWFwwRtEHfnjO0ze5wqYsjX5OoyvmZmlhnv7Pps7fqbfzeY5TdS4UrMylteVS7xa6eDljBY3rQr8dQbziDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:00.293229Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.08986","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e0ab90dbae9d89217500ed7dbe1e61937030e48845b20dc2a006f4f35bc4b25","sha256:b300fae0d30121964f59acf4f8ea3823c5d3960ee8dd86f92a03f7deb400f2e0"],"state_sha256":"3258e555e0b33ca840f2b143a83c2ced85667bb5bb63e934189be7c415ac72b3"}