{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:BXQPCD4ZJG6XBV3TRBSHYKHTYJ","short_pith_number":"pith:BXQPCD4Z","schema_version":"1.0","canonical_sha256":"0de0f10f9949bd70d77388647c28f3c265c7208b86e494929932b611a0533437","source":{"kind":"arxiv","id":"math/0701206","version":1},"attestation_state":"computed","paper":{"title":"Some notes on improving upon the James-Stein estimator","license":"","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Yuzo Maruyama","submitted_at":"2007-01-07T13:55:44Z","abstract_excerpt":"We consider estimation of a multivariate normal mean vector under sum of squared error loss. We propose a new class of smooth estimators parameterized by \\alpha dominating the James-Stein estimator. The estimator for \\alpha=1 corresponds to the generalized Bayes estimator with respect to the harmonic prior. When \\alpha goes to infinity, the estimator converges to the James-Stein positive-part estimator. Thus the class of our estimators is a bridge between the admissible estimator (\\alpha=1) and the inadmissible estimator (\\alpha=\\infty). Although the estimators have quasi-admissibility which i"},"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":"math/0701206","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.ST","submitted_at":"2007-01-07T13:55:44Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7f97f02c5c876621d50ae9d06e41debd71233a7e444dee6705b492943802d5cc","abstract_canon_sha256":"6a1f19a1fc11dc50d4d5c22e5c60ec2a24feee44553157b6d0994cff5fc93271"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:04.150510Z","signature_b64":"ml5NU/Eqlf3BHTxdtEf5ezlLp1MoXPtWGXENa3uF9CUowcZhTjPZU8/ORLHxMioF5w2AL3zO/zu62AJdteekCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0de0f10f9949bd70d77388647c28f3c265c7208b86e494929932b611a0533437","last_reissued_at":"2026-05-18T04:41:04.150073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:04.150073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some notes on improving upon the James-Stein estimator","license":"","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Yuzo Maruyama","submitted_at":"2007-01-07T13:55:44Z","abstract_excerpt":"We consider estimation of a multivariate normal mean vector under sum of squared error loss. We propose a new class of smooth estimators parameterized by \\alpha dominating the James-Stein estimator. The estimator for \\alpha=1 corresponds to the generalized Bayes estimator with respect to the harmonic prior. When \\alpha goes to infinity, the estimator converges to the James-Stein positive-part estimator. Thus the class of our estimators is a bridge between the admissible estimator (\\alpha=1) and the inadmissible estimator (\\alpha=\\infty). Although the estimators have quasi-admissibility which i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0701206","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":"math/0701206","created_at":"2026-05-18T04:41:04.150144+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0701206v1","created_at":"2026-05-18T04:41:04.150144+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0701206","created_at":"2026-05-18T04:41:04.150144+00:00"},{"alias_kind":"pith_short_12","alias_value":"BXQPCD4ZJG6X","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"BXQPCD4ZJG6XBV3T","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"BXQPCD4Z","created_at":"2026-05-18T12:25:55.427421+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/BXQPCD4ZJG6XBV3TRBSHYKHTYJ","json":"https://pith.science/pith/BXQPCD4ZJG6XBV3TRBSHYKHTYJ.json","graph_json":"https://pith.science/api/pith-number/BXQPCD4ZJG6XBV3TRBSHYKHTYJ/graph.json","events_json":"https://pith.science/api/pith-number/BXQPCD4ZJG6XBV3TRBSHYKHTYJ/events.json","paper":"https://pith.science/paper/BXQPCD4Z"},"agent_actions":{"view_html":"https://pith.science/pith/BXQPCD4ZJG6XBV3TRBSHYKHTYJ","download_json":"https://pith.science/pith/BXQPCD4ZJG6XBV3TRBSHYKHTYJ.json","view_paper":"https://pith.science/paper/BXQPCD4Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0701206&json=true","fetch_graph":"https://pith.science/api/pith-number/BXQPCD4ZJG6XBV3TRBSHYKHTYJ/graph.json","fetch_events":"https://pith.science/api/pith-number/BXQPCD4ZJG6XBV3TRBSHYKHTYJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BXQPCD4ZJG6XBV3TRBSHYKHTYJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BXQPCD4ZJG6XBV3TRBSHYKHTYJ/action/storage_attestation","attest_author":"https://pith.science/pith/BXQPCD4ZJG6XBV3TRBSHYKHTYJ/action/author_attestation","sign_citation":"https://pith.science/pith/BXQPCD4ZJG6XBV3TRBSHYKHTYJ/action/citation_signature","submit_replication":"https://pith.science/pith/BXQPCD4ZJG6XBV3TRBSHYKHTYJ/action/replication_record"}},"created_at":"2026-05-18T04:41:04.150144+00:00","updated_at":"2026-05-18T04:41:04.150144+00:00"}