{"id":"W3123195020","doi":"","title":"A test of singularity for distribution functions","year":2011,"lang":"en","type":"preprint","venue":"RePEc: Research Papers in Economics","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Social Sciences and Humanities Research Council of Canada","keywords":"Mathematics; Smoothness; Estimator; Kernel density estimation; Gravitational singularity; Asymptotic distribution; Applied mathematics; Test statistic; Kernel (algebra); Statistic; Singularity; Parametric statistics; Density estimation; Absolute continuity; Distribution (mathematics); Statistical hypothesis testing; Statistical physics; Mathematical analysis; Statistics; Pure mathematics; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.002337228,0.0001764949,0.0005107058,0.0001280343,0.0000923706,0.00003488093,0.0003310525,0.0003505089,0.0001102132],"category_scores_gemma":[0.02051099,0.0001804038,0.0001590458,0.00007332095,0.000309018,0.0000263831,0.0004555073,0.0008247601,0.000002268442],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003398057,"about_ca_system_score_gemma":0.000364297,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007071403,"about_ca_topic_score_gemma":0.00008685156,"domain_scores_codex":[0.9981468,0.0001830889,0.0006398645,0.0004779489,0.0001356284,0.0004166675],"domain_scores_gemma":[0.9922578,0.006388842,0.000226428,0.00070487,0.0003152337,0.0001068612],"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":[0.0002024655,0.001265046,0.005535271,0.002085426,0.0001377181,0.000004425615,0.0003232984,0.00003812111,0.0002718421,0.5433535,0.0005548694,0.4462281],"study_design_scores_gemma":[0.0003303853,0.0002091455,0.004186839,0.0002584768,0.0000272301,0.000001841078,0.000138717,0.004482096,0.0004640841,0.9874558,0.002221138,0.000224242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.25452,0.0001643571,0.4438232,0.0004908083,0.002238959,0.007832589,0.01794673,0.0002108893,0.2727725],"genre_scores_gemma":[0.5351847,0.000765307,0.46069,0.00001612002,0.0002822983,0.0009212996,0.0003866904,0.00008839672,0.001665183],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4460038,"threshold_uncertainty_score":0.9877397,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1763379434339532,"score_gpt":0.4206353622841547,"score_spread":0.2442974188502015,"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."}}