{"id":"W1990707483","doi":"10.1016/j.jspi.2012.03.016","title":"On the boundary properties of Bernstein polynomial estimators of density and distribution functions","year":2012,"lang":"en","type":"article","venue":"Journal of Statistical Planning and Inference","topic":"Model Reduction and Neural Networks","field":"Physics and Astronomy","cited_by":47,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Estimator; Mathematics; Bernstein polynomial; Smoothness; Boundary (topology); Polynomial; Kernel density estimation; Distribution (mathematics); Probability density function; Applied mathematics; Kernel (algebra); Variance (accounting); Function (biology); Statistics; Mathematical analysis; Combinatorics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001447086,0.00004869435,0.0001179446,0.00001457696,0.00007666998,0.0000144362,0.00002438746,0.00001686116,0.00002515288],"category_scores_gemma":[0.00006448522,0.00002841629,0.00001691762,0.00002508279,0.0001550744,0.00008399209,0.00001400621,0.000160255,2.925573e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000403378,"about_ca_system_score_gemma":0.000025926,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001897268,"about_ca_topic_score_gemma":9.830103e-8,"domain_scores_codex":[0.9995833,0.00002862255,0.0001885968,0.00003520329,0.00009171949,0.00007256955],"domain_scores_gemma":[0.9994857,0.0002185752,0.0001470071,0.00003221939,0.0000576539,0.00005886356],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.001027861,0.0005034227,0.5961248,0.0001371085,0.0002364115,0.000002395544,0.002012555,0.001323989,0.0071097,0.3425428,0.01174414,0.03723487],"study_design_scores_gemma":[0.002679627,0.002699531,0.8790839,0.002698802,0.0005724842,0.0001492779,0.005007791,0.04146777,0.02881142,0.03364239,0.00241956,0.0007674606],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9038584,0.0001151427,0.09570416,0.00006686914,0.00008889094,0.00002163229,0.00003436534,0.000001007383,0.0001095233],"genre_scores_gemma":[0.999711,0.000004378222,0.0001755088,0.000008086882,0.00008083753,3.890484e-7,0.000003518088,0.000001667375,0.00001457167],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3089004,"threshold_uncertainty_score":0.1158782,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0310017223909433,"score_gpt":0.2730664508634813,"score_spread":0.242064728472538,"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."}}