{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:TS3LLQLTQTCVRZRU73JGFFNL5U","short_pith_number":"pith:TS3LLQLT","schema_version":"1.0","canonical_sha256":"9cb6b5c17384c558e634fed26295abed3121cedc6c4f32c19dcc8fb738da2e3d","source":{"kind":"arxiv","id":"1012.2184","version":2},"attestation_state":"computed","paper":{"title":"Inherent Difficulties of Non-Bayesian Likelihood-based Inference, as Revealed by an Examination of a Recent Book by Aitkin","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.OT"],"primary_cat":"stat.ME","authors_text":"Andrew Gelman (Columbia University), Christian P. Robert (Universite Paris-Dauphine, CREST), IUF, Judith Rousseau (CREST-ENSAE, Universite Paris-Dauphine)","submitted_at":"2010-12-10T05:29:18Z","abstract_excerpt":"For many decades, statisticians have made attempts to prepare the Bayesian omelette without breaking the Bayesian eggs; that is, to obtain probabilistic likelihood-based inferences without relying on informative prior distributions. A recent example is Murray Aitkin's recent book, {\\em Statistical Inference}, which presents an approach to statistical hypothesis testing based on comparisons of posterior distributions of likelihoods under competing models. Aitkin develops and illustrates his method using some simple examples of inference from iid data and two-way tests of independence. We analyz"},"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":"1012.2184","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-12-10T05:29:18Z","cross_cats_sorted":["stat.OT"],"title_canon_sha256":"2150f7c17e88bb7be6d8a975ab503ef2a8226e86883d4c009ceea0c66e7e514f","abstract_canon_sha256":"cba0532688fcbc9ace11c64b8c3dc1ab6ab8b3781919621408c9b3681e8cf6be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:34.979910Z","signature_b64":"GU6iY9kTY+guTKdMePGl3oQCDBC31RIw7SxxiRdguidqbdD+EShX3sy24DzWJhoPCNvrV+cnweIZ4J4RaXBXDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9cb6b5c17384c558e634fed26295abed3121cedc6c4f32c19dcc8fb738da2e3d","last_reissued_at":"2026-05-18T04:09:34.979433Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:34.979433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inherent Difficulties of Non-Bayesian Likelihood-based Inference, as Revealed by an Examination of a Recent Book by Aitkin","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.OT"],"primary_cat":"stat.ME","authors_text":"Andrew Gelman (Columbia University), Christian P. Robert (Universite Paris-Dauphine, CREST), IUF, Judith Rousseau (CREST-ENSAE, Universite Paris-Dauphine)","submitted_at":"2010-12-10T05:29:18Z","abstract_excerpt":"For many decades, statisticians have made attempts to prepare the Bayesian omelette without breaking the Bayesian eggs; that is, to obtain probabilistic likelihood-based inferences without relying on informative prior distributions. A recent example is Murray Aitkin's recent book, {\\em Statistical Inference}, which presents an approach to statistical hypothesis testing based on comparisons of posterior distributions of likelihoods under competing models. Aitkin develops and illustrates his method using some simple examples of inference from iid data and two-way tests of independence. We analyz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2184","kind":"arxiv","version":2},"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":"1012.2184","created_at":"2026-05-18T04:09:34.979485+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.2184v2","created_at":"2026-05-18T04:09:34.979485+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2184","created_at":"2026-05-18T04:09:34.979485+00:00"},{"alias_kind":"pith_short_12","alias_value":"TS3LLQLTQTCV","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"TS3LLQLTQTCVRZRU","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"TS3LLQLT","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/TS3LLQLTQTCVRZRU73JGFFNL5U","json":"https://pith.science/pith/TS3LLQLTQTCVRZRU73JGFFNL5U.json","graph_json":"https://pith.science/api/pith-number/TS3LLQLTQTCVRZRU73JGFFNL5U/graph.json","events_json":"https://pith.science/api/pith-number/TS3LLQLTQTCVRZRU73JGFFNL5U/events.json","paper":"https://pith.science/paper/TS3LLQLT"},"agent_actions":{"view_html":"https://pith.science/pith/TS3LLQLTQTCVRZRU73JGFFNL5U","download_json":"https://pith.science/pith/TS3LLQLTQTCVRZRU73JGFFNL5U.json","view_paper":"https://pith.science/paper/TS3LLQLT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.2184&json=true","fetch_graph":"https://pith.science/api/pith-number/TS3LLQLTQTCVRZRU73JGFFNL5U/graph.json","fetch_events":"https://pith.science/api/pith-number/TS3LLQLTQTCVRZRU73JGFFNL5U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TS3LLQLTQTCVRZRU73JGFFNL5U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TS3LLQLTQTCVRZRU73JGFFNL5U/action/storage_attestation","attest_author":"https://pith.science/pith/TS3LLQLTQTCVRZRU73JGFFNL5U/action/author_attestation","sign_citation":"https://pith.science/pith/TS3LLQLTQTCVRZRU73JGFFNL5U/action/citation_signature","submit_replication":"https://pith.science/pith/TS3LLQLTQTCVRZRU73JGFFNL5U/action/replication_record"}},"created_at":"2026-05-18T04:09:34.979485+00:00","updated_at":"2026-05-18T04:09:34.979485+00:00"}