{"id":"W3189111293","doi":"10.1515/stat-2022-0111","title":"On the boundary properties of Bernstein estimators on the simplex","year":2022,"lang":"en","type":"preprint","venue":"Open Statistics","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; McGill University","funders":"","keywords":"Simplex; Estimator; Complement (music); Mathematics; Boundary (topology); Domain (mathematical analysis); Variance (accounting); Simplex algorithm; Applied mathematics; Mathematical analysis; Statistics; Mathematical optimization; Combinatorics; Linear programming","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00157629,0.0004154004,0.0007088335,0.0000448032,0.000577202,0.0002489673,0.001708848,0.0001124865,0.001690878],"category_scores_gemma":[0.007594356,0.0002176046,0.00009551325,0.0001003664,0.0004394313,0.00004119693,0.002507228,0.001241421,0.00001869956],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001296238,"about_ca_system_score_gemma":0.0003513424,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001350894,"about_ca_topic_score_gemma":0.00002812169,"domain_scores_codex":[0.9967975,0.0008628865,0.0007247762,0.0005069063,0.0007703012,0.0003376061],"domain_scores_gemma":[0.988199,0.009477193,0.000627697,0.001460794,0.0001587837,0.00007653033],"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":[0.0001248831,0.0001688153,0.000001421415,0.0002945485,0.0001047244,0.00001644194,0.0006817056,0.0009149382,0.00001813562,0.9676439,0.02319957,0.006830875],"study_design_scores_gemma":[0.0001566692,0.0002086031,0.00001062107,0.0003500013,0.0001066508,0.000001661532,0.0004181871,0.007659184,0.000320437,0.9817274,0.008749886,0.0002907006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.005767963,0.00007050401,0.9571002,0.001395622,0.00056398,0.003354993,0.008743806,0.00004304109,0.02295986],"genre_scores_gemma":[0.09627888,0.00006960922,0.8971046,0.00114477,0.0000740632,0.001002257,0.0001095827,0.0001759261,0.004040307],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.09051091,"threshold_uncertainty_score":0.9992217,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2962880896511404,"score_gpt":0.4577750655481452,"score_spread":0.1614869758970048,"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."}}