{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QCYA7FD5PKF57OOFAIA3FV246T","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":"50173fb212884487d58e7656b68d306813f043a3bd853f1c1e4ca40d1f9565f8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-01-20T19:26:52Z","title_canon_sha256":"a7be10f03abc74cbae42974e99d4792fb566d32fe95ede8edb9c7e2738cbe4c1"},"schema_version":"1.0","source":{"id":"1701.05911","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05911","created_at":"2026-05-18T00:52:21Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05911v1","created_at":"2026-05-18T00:52:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05911","created_at":"2026-05-18T00:52:21Z"},{"alias_kind":"pith_short_12","alias_value":"QCYA7FD5PKF5","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QCYA7FD5PKF57OOF","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QCYA7FD5","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:ae62ad1bb5899c1610fbb2933116e82b50962be2e21aaee88d1c0b361b874978","target":"graph","created_at":"2026-05-18T00:52:21Z","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 provide a new version of delta theorem, that takes into account of high dimensional parameter estimation. We show that depending on the structure of the function, the limits of functions of estimators have faster or slower rate of convergence than the limits of estimators. We illustrate this via two examples. First, we use it for testing in high dimensions, and second in estimating large portfolio risk. Our theorem works in the case of larger number of parameters, $p$, than the sample size, $n$: $p>n$.","authors_text":"Mehmet Caner","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-01-20T19:26:52Z","title":"Delta Theorem in the Age of High Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05911","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":"sha256:6482ce2e177ee1d6dc881a58271c50f6bad5dd14cacd8645b0a9d22c71c64616","target":"record","created_at":"2026-05-18T00:52:21Z","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":"50173fb212884487d58e7656b68d306813f043a3bd853f1c1e4ca40d1f9565f8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-01-20T19:26:52Z","title_canon_sha256":"a7be10f03abc74cbae42974e99d4792fb566d32fe95ede8edb9c7e2738cbe4c1"},"schema_version":"1.0","source":{"id":"1701.05911","kind":"arxiv","version":1}},"canonical_sha256":"80b00f947d7a8bdfb9c50201b2d75cf4decca924346630973db173ac8444e1d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80b00f947d7a8bdfb9c50201b2d75cf4decca924346630973db173ac8444e1d5","first_computed_at":"2026-05-18T00:52:21.977145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:21.977145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T7Em6asexOWsg7vj513lEVeLicyFtOLEho2kmaumtKSbXhLNUf55UByBgz0sYKCLmxu2hCQUt5A4aeZBas5nAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:21.977699Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05911","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6482ce2e177ee1d6dc881a58271c50f6bad5dd14cacd8645b0a9d22c71c64616","sha256:ae62ad1bb5899c1610fbb2933116e82b50962be2e21aaee88d1c0b361b874978"],"state_sha256":"92c607072a9e2b62ed4072008eb07f319d3c60e31ea4993fe5097f280c881cb5"}