{"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"}