{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:VJOSOK3Y55RYZUEXYA5YRJZWMM","short_pith_number":"pith:VJOSOK3Y","schema_version":"1.0","canonical_sha256":"aa5d272b78ef638cd097c03b88a7366305459d331569e6040b2b4e4bf026a9f2","source":{"kind":"arxiv","id":"1011.2333","version":1},"attestation_state":"computed","paper":{"title":"Bayes and empirical-Bayes multiplicity adjustment in the variable-selection problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"James G. Scott, James O. Berger","submitted_at":"2010-11-10T10:27:54Z","abstract_excerpt":"This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity correction happens automatically in Bayesian analysis, and to distinguish this correction from the Bayesian Ockham's-razor effect. Our second goal is to contrast empirical-Bayes and fully Bayesian approaches to variable selection through examples, theoretical results and simulations. Considerable differences between the two approaches are found. In particular, we prove a theorem that characterizes a surprising aympto"},"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":"1011.2333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-11-10T10:27:54Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"632495c31394fe83f416e01686b4c37d14b8a2b32f20f2cde1861c4d6071b961","abstract_canon_sha256":"54ea6d852df81800d336aa0e21ed3aa314d362089f2df013b3c3e30653ffaf6f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:30.523399Z","signature_b64":"uibtvXF8i5duhLNiOR5nFzHrUOIUh4UnVmGpPCK+oAK/Yyz1x0TW1kpujOc3q3eLcNGsmvWyuN5r1eCzEYyGAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa5d272b78ef638cd097c03b88a7366305459d331569e6040b2b4e4bf026a9f2","last_reissued_at":"2026-05-18T04:36:30.522925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:30.522925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bayes and empirical-Bayes multiplicity adjustment in the variable-selection problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"James G. Scott, James O. Berger","submitted_at":"2010-11-10T10:27:54Z","abstract_excerpt":"This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity correction happens automatically in Bayesian analysis, and to distinguish this correction from the Bayesian Ockham's-razor effect. Our second goal is to contrast empirical-Bayes and fully Bayesian approaches to variable selection through examples, theoretical results and simulations. Considerable differences between the two approaches are found. In particular, we prove a theorem that characterizes a surprising aympto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2333","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":"1011.2333","created_at":"2026-05-18T04:36:30.523000+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.2333v1","created_at":"2026-05-18T04:36:30.523000+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2333","created_at":"2026-05-18T04:36:30.523000+00:00"},{"alias_kind":"pith_short_12","alias_value":"VJOSOK3Y55RY","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"VJOSOK3Y55RYZUEX","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"VJOSOK3Y","created_at":"2026-05-18T12:26:15.391820+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/VJOSOK3Y55RYZUEXYA5YRJZWMM","json":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM.json","graph_json":"https://pith.science/api/pith-number/VJOSOK3Y55RYZUEXYA5YRJZWMM/graph.json","events_json":"https://pith.science/api/pith-number/VJOSOK3Y55RYZUEXYA5YRJZWMM/events.json","paper":"https://pith.science/paper/VJOSOK3Y"},"agent_actions":{"view_html":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM","download_json":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM.json","view_paper":"https://pith.science/paper/VJOSOK3Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.2333&json=true","fetch_graph":"https://pith.science/api/pith-number/VJOSOK3Y55RYZUEXYA5YRJZWMM/graph.json","fetch_events":"https://pith.science/api/pith-number/VJOSOK3Y55RYZUEXYA5YRJZWMM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/action/storage_attestation","attest_author":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/action/author_attestation","sign_citation":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/action/citation_signature","submit_replication":"https://pith.science/pith/VJOSOK3Y55RYZUEXYA5YRJZWMM/action/replication_record"}},"created_at":"2026-05-18T04:36:30.523000+00:00","updated_at":"2026-05-18T04:36:30.523000+00:00"}