{"id":"W1593939745","doi":"10.1214/aos/1009210688","title":"Weak convergence of the empirical process of residuals in linear models with many parameters","year":2001,"lang":"en","type":"article","venue":"The Annals of Statistics","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba; Simon Fraser University","funders":"","keywords":"Mathematics; Residual; Statistics; Least-squares function approximation; Applied mathematics; Bounded function; Mathematical analysis; Algorithm","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.03597137,0.001579982,0.002047714,0.00250485,0.0008558403,0.002736217,0.003385345,0.002297702,0.002122825],"category_scores_gemma":[0.169692,0.001570521,0.001704505,0.001697462,0.008930773,0.00593245,0.005437289,0.004879317,0.001033616],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001907555,"about_ca_system_score_gemma":0.002264429,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00398078,"about_ca_topic_score_gemma":0.002635252,"domain_scores_codex":[0.9876486,0.008076057,0.0004458803,0.001660105,0.001739153,0.0004301407],"domain_scores_gemma":[0.8775268,0.1042505,0.005966905,0.00628578,0.004904564,0.001065417],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000362288,0.00009367298,0.006195453,0.000736316,0.0002491319,0.0003951002,0.001260409,0.3156837,0.00364318,0.6165458,0.002141524,0.05269341],"study_design_scores_gemma":[0.0000306699,0.0001027662,0.001286894,0.00008707313,0.00003257448,0.0001276036,0.00009911768,0.6778884,0.001260325,0.3172952,0.001734988,0.00005438161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02318162,0.000600452,0.9740117,0.0005304323,0.00004326719,0.00002998357,0.00005655302,0.0001842646,0.001361735],"genre_scores_gemma":[0.6071942,0.004440595,0.3701046,0.0009280771,0.0004575514,0.0008765181,0.001051348,0.0009495235,0.01399761],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03597137,"threshold_uncertainty_score":0.190237,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.4139628941752223,"score_gpt":0.4604917540459453,"score_spread":0.04652885987072308,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}