{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4GH7QPWWAR2B7A4L2PQPUCX4YQ","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":"1fca68729914489474fc1594294abb246a997bae10f43d71afbb9b5cfc2d05c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-07-18T12:36:28Z","title_canon_sha256":"f245dc309f26d89adba144851e33ae150a158d4374eba7e39a78a08be0d68ee4"},"schema_version":"1.0","source":{"id":"1507.05179","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.05179","created_at":"2026-05-18T00:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"1507.05179v3","created_at":"2026-05-18T00:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05179","created_at":"2026-05-18T00:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"4GH7QPWWAR2B","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4GH7QPWWAR2B7A4L","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4GH7QPWW","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:5b39e5017f1d7b46b48cd091dbbafac817f7d2c91723d56ff8ddc8c83f1e95bb","target":"graph","created_at":"2026-05-18T00:44:39Z","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":"For small area estimation of area-level data, the Fay-Herriot model is extensively used as a model based method. In the Fay-Herriot model, it is conventionally assumed that the sampling variances are known whereas estimators of sampling variances are used in practice. Thus, the settings of knowing sampling variances are unrealistic and several methods are proposed to overcome this problem. In this paper, we assume the situation where the direct estimators of the sampling variances are available as well as the sample means. Using these information, we propose a Bayesian yet objective method pro","authors_text":"Hiromasa Tamae, Shonosuke Sugasawa, Tatsuya Kubokawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-07-18T12:36:28Z","title":"Bayesian Estimators for Small Area Models Shrinking Both Means and Variances"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05179","kind":"arxiv","version":3},"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":"sha256:91c55f6d657822cffeb63318681fd3aeb206e0ceeead4fbd48bf741b3e315e1e","target":"record","created_at":"2026-05-18T00:44:39Z","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":"1fca68729914489474fc1594294abb246a997bae10f43d71afbb9b5cfc2d05c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-07-18T12:36:28Z","title_canon_sha256":"f245dc309f26d89adba144851e33ae150a158d4374eba7e39a78a08be0d68ee4"},"schema_version":"1.0","source":{"id":"1507.05179","kind":"arxiv","version":3}},"canonical_sha256":"e18ff83ed604741f838bd3e0fa0afcc423d43a8e5c9dbe9f7ff28e6ca198d97d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e18ff83ed604741f838bd3e0fa0afcc423d43a8e5c9dbe9f7ff28e6ca198d97d","first_computed_at":"2026-05-18T00:44:39.093295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:39.093295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qq1psIicjpILwNTbXwYpiFOBMRTn6XowgaEj4MpB7AR4kSyVTfQNrC8h7rSF3I5MKtEWA5aU/q9gQdBgmtrCAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:39.093785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.05179","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91c55f6d657822cffeb63318681fd3aeb206e0ceeead4fbd48bf741b3e315e1e","sha256:5b39e5017f1d7b46b48cd091dbbafac817f7d2c91723d56ff8ddc8c83f1e95bb"],"state_sha256":"77b1d77a97230bc9b0d6d0b8bcfdcef66173562ec1f1873be961f1ed10f8e9ef"}