{"id":"W2949367883","doi":"10.48550/arxiv.0809.2989","title":"Uniform estimates for order statistics and Orlicz functions","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Independent and identically distributed random variables; Order statistic; Mathematics; Statistics; Random variable; Distribution (mathematics); Order (exchange); Function (biology); Distribution function; Econometrics; Mathematical analysis; Physics; Economics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001194859,0.0003012596,0.0003797424,0.00007479318,0.0003820698,0.00005855994,0.0001643308,0.0002290913,0.0002630649],"category_scores_gemma":[0.002404353,0.0002940339,0.000066777,0.0001530618,0.000221596,0.0000505756,0.0001908806,0.0003246428,0.0001443069],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007816327,"about_ca_system_score_gemma":0.000170839,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002477364,"about_ca_topic_score_gemma":0.00001912108,"domain_scores_codex":[0.9985664,0.00002007038,0.0005126582,0.0004387058,0.0001781515,0.0002839642],"domain_scores_gemma":[0.997185,0.001386209,0.00025049,0.0004683679,0.000538706,0.0001712499],"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":[0.00002277252,0.000334218,0.00723694,0.0007538368,0.0001733965,0.000003752642,0.0001797487,0.0001600438,0.00004123289,0.8755181,0.1123658,0.003210224],"study_design_scores_gemma":[0.001183507,0.00009410266,0.0691514,0.0001668305,0.0006352466,0.00003566379,0.0001649906,0.07486275,0.0001801271,0.8244798,0.02808652,0.0009591345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02102084,0.00005242514,0.9682623,0.0008236439,0.0001933231,0.0008940963,0.007443633,0.0002376935,0.001072017],"genre_scores_gemma":[0.2444478,0.0002966992,0.7416399,0.0003699996,0.0002525891,0.001654487,0.007250747,0.000124417,0.003963345],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2266224,"threshold_uncertainty_score":0.9999512,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1344438381081931,"score_gpt":0.3782876047884919,"score_spread":0.2438437666802989,"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."}}