{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:TFRCQORTTPB43KCM65BEW2ZW5P","short_pith_number":"pith:TFRCQORT","schema_version":"1.0","canonical_sha256":"9962283a339bc3cda84cf7424b6b36ebfdaf2becb99010f1ccb8d366aebda8dc","source":{"kind":"arxiv","id":"1502.00184","version":1},"attestation_state":"computed","paper":{"title":"Adaptive Bayesian estimation in indirect Gaussian sequence space models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Anna Simoni, Jan Johannes, Rudolf Schenk","submitted_at":"2015-02-01T01:02:57Z","abstract_excerpt":"In an indirect Gaussian sequence space model lower and upper bounds are derived for the concentration rate of the posterior distribution of the parameter of interest shrinking to the parameter value $\\theta^\\circ$ that generates the data. While this establishes posterior consistency, however, the concentration rate depends on both $\\theta^\\circ$ and a tuning parameter which enters the prior distribution. We first provide an oracle optimal choice of the tuning parameter, i.e., optimized for each $\\theta^\\circ$ separately. The optimal choice of the prior distribution allows us to derive an oracl"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1502.00184","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-02-01T01:02:57Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"35a6fe4592705592294f8c4d664a1e241eaad37d44ca071dbdadab806bb4ad77","abstract_canon_sha256":"b85987cfad364637e72279cb211a0ccf6cd5dac3e35406143100197315a2b1c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:12.529068Z","signature_b64":"w/Ti5ehuLY+5jAWGIb1tTj1Cev6e6agjqD6maNaxoGo7Km/1wFIzDaWsjaAE71Aqg3KXLFBbmqTP/ePdCG6kCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9962283a339bc3cda84cf7424b6b36ebfdaf2becb99010f1ccb8d366aebda8dc","last_reissued_at":"2026-05-18T02:28:12.528612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:12.528612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adaptive Bayesian estimation in indirect Gaussian sequence space models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Anna Simoni, Jan Johannes, Rudolf Schenk","submitted_at":"2015-02-01T01:02:57Z","abstract_excerpt":"In an indirect Gaussian sequence space model lower and upper bounds are derived for the concentration rate of the posterior distribution of the parameter of interest shrinking to the parameter value $\\theta^\\circ$ that generates the data. While this establishes posterior consistency, however, the concentration rate depends on both $\\theta^\\circ$ and a tuning parameter which enters the prior distribution. We first provide an oracle optimal choice of the tuning parameter, i.e., optimized for each $\\theta^\\circ$ separately. The optimal choice of the prior distribution allows us to derive an oracl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00184","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1502.00184","created_at":"2026-05-18T02:28:12.528706+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.00184v1","created_at":"2026-05-18T02:28:12.528706+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00184","created_at":"2026-05-18T02:28:12.528706+00:00"},{"alias_kind":"pith_short_12","alias_value":"TFRCQORTTPB4","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"TFRCQORTTPB43KCM","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"TFRCQORT","created_at":"2026-05-18T12:29:42.218222+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TFRCQORTTPB43KCM65BEW2ZW5P","json":"https://pith.science/pith/TFRCQORTTPB43KCM65BEW2ZW5P.json","graph_json":"https://pith.science/api/pith-number/TFRCQORTTPB43KCM65BEW2ZW5P/graph.json","events_json":"https://pith.science/api/pith-number/TFRCQORTTPB43KCM65BEW2ZW5P/events.json","paper":"https://pith.science/paper/TFRCQORT"},"agent_actions":{"view_html":"https://pith.science/pith/TFRCQORTTPB43KCM65BEW2ZW5P","download_json":"https://pith.science/pith/TFRCQORTTPB43KCM65BEW2ZW5P.json","view_paper":"https://pith.science/paper/TFRCQORT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.00184&json=true","fetch_graph":"https://pith.science/api/pith-number/TFRCQORTTPB43KCM65BEW2ZW5P/graph.json","fetch_events":"https://pith.science/api/pith-number/TFRCQORTTPB43KCM65BEW2ZW5P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TFRCQORTTPB43KCM65BEW2ZW5P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TFRCQORTTPB43KCM65BEW2ZW5P/action/storage_attestation","attest_author":"https://pith.science/pith/TFRCQORTTPB43KCM65BEW2ZW5P/action/author_attestation","sign_citation":"https://pith.science/pith/TFRCQORTTPB43KCM65BEW2ZW5P/action/citation_signature","submit_replication":"https://pith.science/pith/TFRCQORTTPB43KCM65BEW2ZW5P/action/replication_record"}},"created_at":"2026-05-18T02:28:12.528706+00:00","updated_at":"2026-05-18T02:28:12.528706+00:00"}