{"id":"W1959494216","doi":"10.1002/cjs.11217","title":"On continuous distribution functions, minimax and best invariant estimators, and integrated balanced loss functions","year":2014,"lang":"en","type":"preprint","venue":"Canadian Journal of Statistics","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke; University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Estimator; Minimax; Mathematics; Invariant (physics); Bounded function; Applied mathematics; Mathematical optimization; Statistics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"about_ca":true,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005505214,0.0003542984,0.0007768072,0.000197999,0.0002559597,0.0001698777,0.0001380429,0.0002758678,0.00006532414],"category_scores_gemma":[0.006578655,0.0003174596,0.00005657697,0.00008621215,0.0003628325,0.00006014006,0.0000477787,0.001048361,0.000004625553],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002686785,"about_ca_system_score_gemma":0.000980119,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008014439,"about_ca_topic_score_gemma":0.003494662,"domain_scores_codex":[0.9980944,0.0001996766,0.0008057273,0.0003185263,0.0002178301,0.0003638071],"domain_scores_gemma":[0.9956036,0.00184454,0.0006833058,0.000261044,0.0006656637,0.0009418791],"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":[0.0002156524,0.0001772148,0.0006383304,0.0008585632,0.0004078586,0.0008596806,0.0004472135,0.0008710084,0.00001909039,0.8343285,0.08872135,0.07245556],"study_design_scores_gemma":[0.001016209,0.0009963664,0.0005699418,0.001192388,0.0006613791,0.0004616964,0.0003464615,0.01247338,0.000006420606,0.9706705,0.01105366,0.0005515519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01275214,0.0002647698,0.9689361,0.0002550878,0.0009375799,0.000240332,0.01648272,0.00001135703,0.0001199393],"genre_scores_gemma":[0.2905867,0.0002161529,0.7074961,0.0001453216,0.000247467,0.00001684197,0.0006653745,0.00007443442,0.0005515874],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2778346,"threshold_uncertainty_score":0.9999278,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0471899946265316,"score_gpt":0.322277566945284,"score_spread":0.2750875723187524,"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."}}