{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KDJW2NEKLIOIO4W7F5BTM2VIEX","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":"be87afb3bbfc3889fe3ac1241828c3920ee9f9f7ffb17a1d1e33e8b993abf679","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-23T14:57:17Z","title_canon_sha256":"0c57fcc35b6a8de3f4ac043de336a9b42569baeaa131dd18beb21facfde030ea"},"schema_version":"1.0","source":{"id":"1406.5933","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5933","created_at":"2026-05-18T00:54:48Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5933v4","created_at":"2026-05-18T00:54:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5933","created_at":"2026-05-18T00:54:48Z"},{"alias_kind":"pith_short_12","alias_value":"KDJW2NEKLIOI","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KDJW2NEKLIOIO4W7","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KDJW2NEK","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:ecd45abe42c5850d6164fba81552e586caba6df7ef0f0295689213df6f082f8c","target":"graph","created_at":"2026-05-18T00:54:48Z","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":"The $\\gamma$-FDP and $k$-FWER multiple testing error metrics, which are tail probabilities of the respective error statistics, have become popular recently as less-stringent alternatives to the FDR and FWER. We propose general and flexible stepup and stepdown procedures for testing multiple hypotheses about sequential (or streaming) data that simultaneously control both the type I and II versions of $\\gamma$-FDP, or $k$-FWER. The error control holds regardless of the dependence between data streams, which may be of arbitrary size and shape. All that is needed is a test statistic for each data ","authors_text":"Jay Bartroff","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-23T14:57:17Z","title":"Multiple Hypothesis Tests Controlling Generalized Error Rates for Sequential Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5933","kind":"arxiv","version":4},"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:cfa17fd52968770599f861bc63057ed661f5d9162628a5efcb503a953fa4519c","target":"record","created_at":"2026-05-18T00:54:48Z","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":"be87afb3bbfc3889fe3ac1241828c3920ee9f9f7ffb17a1d1e33e8b993abf679","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-23T14:57:17Z","title_canon_sha256":"0c57fcc35b6a8de3f4ac043de336a9b42569baeaa131dd18beb21facfde030ea"},"schema_version":"1.0","source":{"id":"1406.5933","kind":"arxiv","version":4}},"canonical_sha256":"50d36d348a5a1c8772df2f43366aa825fab2c2521e96c7800ab089a5b2733fe6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50d36d348a5a1c8772df2f43366aa825fab2c2521e96c7800ab089a5b2733fe6","first_computed_at":"2026-05-18T00:54:48.381774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:48.381774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J1ZgKq5Uik6heLYsKNtYFiwysyAoy9yKkYq+DMwulHyq0vrtZRK8OIPaeW3GtnuQFCeX5OOEogB0rVXbsFFCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:48.382208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5933","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfa17fd52968770599f861bc63057ed661f5d9162628a5efcb503a953fa4519c","sha256:ecd45abe42c5850d6164fba81552e586caba6df7ef0f0295689213df6f082f8c"],"state_sha256":"32f05f6765d918fcc6c35a48cde50af127ee672106924a0a520bf17b42735a9e"}