{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VOU75P4CBOHRXNRMYRTXRFZS22","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":"6e54b8747f57d63734e2f2027e485b55f137acfb2ad577043fb4a930c2b4a180","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2012-10-08T12:05:36Z","title_canon_sha256":"3ab67a374b71ef3957300605fc482a3f866c2ec8d8fdffddc25a8e9de5ac74c6"},"schema_version":"1.0","source":{"id":"1210.2253","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2253","created_at":"2026-05-18T00:01:39Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2253v2","created_at":"2026-05-18T00:01:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2253","created_at":"2026-05-18T00:01:39Z"},{"alias_kind":"pith_short_12","alias_value":"VOU75P4CBOHR","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VOU75P4CBOHRXNRM","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VOU75P4C","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:2145e754c37f760138de96969f19a5e0cc576e5127c5e8bf42429ab51671c71c","target":"graph","created_at":"2026-05-18T00:01:39Z","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":"Often it is not easy to choose between estimators, based on the estimated MSE and bias using simulation studies. Normality in small samples and a variance of the estimator, which is correct and easy to calculate using a single sample, give the added advantage that hypotheses concerning the parameter can be tested in new samples. A procedure to check normality is proposed where previously published MSE and bias are used to perform a test for normality. A confidence interval for the index of the S&P500 index is found by applying the results to estimators of the generalized Pareto distribution.","authors_text":"J. Martin van Zyl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2012-10-08T12:05:36Z","title":"Testing approximate normality of an estimator using the estimated MSE and bias with an application to the shape parameter of the generalized Pareto distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2253","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:b1b4c0a90ee4619be8ff8e4d135832ffd8c973e86036928d771a10edc9fa4d50","target":"record","created_at":"2026-05-18T00:01:39Z","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":"6e54b8747f57d63734e2f2027e485b55f137acfb2ad577043fb4a930c2b4a180","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2012-10-08T12:05:36Z","title_canon_sha256":"3ab67a374b71ef3957300605fc482a3f866c2ec8d8fdffddc25a8e9de5ac74c6"},"schema_version":"1.0","source":{"id":"1210.2253","kind":"arxiv","version":2}},"canonical_sha256":"aba9febf820b8f1bb62cc467789732d69c2af46d5f57508f159f95c7a7d2cb56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aba9febf820b8f1bb62cc467789732d69c2af46d5f57508f159f95c7a7d2cb56","first_computed_at":"2026-05-18T00:01:39.588758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:39.588758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DgPnoNX/PDgPvX9t5111KPRbWfPnsYb+xpaxFRhM8i/4j+2AbfURU+50TkUZXNf8dBbh8IGxOBRiHF50couxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:39.589287Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2253","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1b4c0a90ee4619be8ff8e4d135832ffd8c973e86036928d771a10edc9fa4d50","sha256:2145e754c37f760138de96969f19a5e0cc576e5127c5e8bf42429ab51671c71c"],"state_sha256":"58f48b1d662e9556791dca51692cc2c05aa0b4503883f2649da52fe474fca685"}