{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:H3CWU5OY45WIWQYOMS4BG4VRZA","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":"0236de8523a38a01e22bde3b749fd75c9670e69f502176fbaf697b13741087e5","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-26T10:50:50Z","title_canon_sha256":"a465af6e648fa6d12c708c09af29ee65a05892876225149efa47a88d051c14b2"},"schema_version":"1.0","source":{"id":"1906.10967","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.10967","created_at":"2026-05-17T23:42:10Z"},{"alias_kind":"arxiv_version","alias_value":"1906.10967v1","created_at":"2026-05-17T23:42:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.10967","created_at":"2026-05-17T23:42:10Z"},{"alias_kind":"pith_short_12","alias_value":"H3CWU5OY45WI","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"H3CWU5OY45WIWQYO","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"H3CWU5OY","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:88b941f1af9b64342dd5c6ebcd60ee6557e35c6b4d19c94c2a0a67c06bf4613f","target":"graph","created_at":"2026-05-17T23:42:10Z","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":"Preliminary test estimation, which is a natural procedure when it is suspected a priori that the parameter to be estimated might take value in a submodel of the model at hand, is a classical topic in estimation theory. In the present paper, we establish general results on the asymptotic behavior of preliminary test estimators. More precisely, we show that, in uniformly locally asymptotically normal (ULAN) models, a general asymptotic theory can be derived for preliminary test estimators based on estimators admitting generic Bahadur-type representations. This allows for a detailed comparison be","authors_text":"Davy Paindaveine, Jos\\'ea Rasoafaraniaina, Thomas Verdebout","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-26T10:50:50Z","title":"Preliminary test estimation in ULAN models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.10967","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":"sha256:6557bac82770d371f2e2d3688ebdef145fc4f0a87d75680b97bdfbd2c5148b97","target":"record","created_at":"2026-05-17T23:42:10Z","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":"0236de8523a38a01e22bde3b749fd75c9670e69f502176fbaf697b13741087e5","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-06-26T10:50:50Z","title_canon_sha256":"a465af6e648fa6d12c708c09af29ee65a05892876225149efa47a88d051c14b2"},"schema_version":"1.0","source":{"id":"1906.10967","kind":"arxiv","version":1}},"canonical_sha256":"3ec56a75d8e76c8b430e64b81372b1c8198d491fb0302e71a6c8869462c44265","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ec56a75d8e76c8b430e64b81372b1c8198d491fb0302e71a6c8869462c44265","first_computed_at":"2026-05-17T23:42:10.396897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:10.396897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XtSzMx7nbQ3k+/2667WMVfvLV5jFhfS+k5w+4FGdAUODGrmiVE+FS4xnOURyXvIzu+bqIJtVjAJ3vC14IFqGAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:10.397672Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.10967","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6557bac82770d371f2e2d3688ebdef145fc4f0a87d75680b97bdfbd2c5148b97","sha256:88b941f1af9b64342dd5c6ebcd60ee6557e35c6b4d19c94c2a0a67c06bf4613f"],"state_sha256":"e479c265857e2d27717c9188f7dcb682e63f12d696d70c777b30c11d7c74464a"}