{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XWDOFFQAQFBAN2FSFMPO7UMK7U","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":"fae0288933ff6463e39575a48465114a2d11a56962b739400f21823a6d352ac8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-10-29T13:01:36Z","title_canon_sha256":"f593789b799ff0987a169dfe25b123a66b93155ec1fbcc54cfa97aa013c69d88"},"schema_version":"1.0","source":{"id":"1610.09502","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09502","created_at":"2026-05-18T01:00:51Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09502v1","created_at":"2026-05-18T01:00:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09502","created_at":"2026-05-18T01:00:51Z"},{"alias_kind":"pith_short_12","alias_value":"XWDOFFQAQFBA","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XWDOFFQAQFBAN2FS","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XWDOFFQA","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:afb7d6ef38b8d536e6df61efcd03417cd6171242f619403c9fa7c0d48a5686b5","target":"graph","created_at":"2026-05-18T01:00:51Z","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":"This paper deals with a class of nonparametric two-sample tests for ordered alternatives. The test statistics proposed are based on the number of observations from one sample that precede or exceed a threshold specified by the other sample, and they are extensions of \\v{S}id\\'ak's test. We derive their exact null distributions and also discuss a large-sample approximation. We then study their power properties exactly against the Lehmann alternative and make some comparative comments. Finally, we present an example to illustrate the proposed tests.","authors_text":"Eugenia Stoimenova, N. Balakrishnan","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-10-29T13:01:36Z","title":"Sidak-type tests for the two-sample problem based on precedence and exceedance statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09502","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":"sha256:0cc7e6cef146eaf83d6d69749a997e63ccfc17ce53da6e71702de3156368f2e2","target":"record","created_at":"2026-05-18T01:00:51Z","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":"fae0288933ff6463e39575a48465114a2d11a56962b739400f21823a6d352ac8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-10-29T13:01:36Z","title_canon_sha256":"f593789b799ff0987a169dfe25b123a66b93155ec1fbcc54cfa97aa013c69d88"},"schema_version":"1.0","source":{"id":"1610.09502","kind":"arxiv","version":1}},"canonical_sha256":"bd86e29600814206e8b22b1eefd18afd1f94f753007ce2fdc8917f2a2535c51c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd86e29600814206e8b22b1eefd18afd1f94f753007ce2fdc8917f2a2535c51c","first_computed_at":"2026-05-18T01:00:51.821483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:51.821483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sLBgrEHqFTrgVWMtSKvAZqPReF29yH6d17qQ+MLRMHgI1gRN0RSEcT/TMS7CXbAsBMn+ZZDKLsXeVcUpZAo4DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:51.822132Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09502","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cc7e6cef146eaf83d6d69749a997e63ccfc17ce53da6e71702de3156368f2e2","sha256:afb7d6ef38b8d536e6df61efcd03417cd6171242f619403c9fa7c0d48a5686b5"],"state_sha256":"580833053dce14e8a6ca9406dd4e74b86eaea5082fe6e0ea1e7f11c15ff78242"}