{"id":"W2051679410","doi":"10.1016/s0167-7152(01)00047-5","title":"On the multivariate probability integral transformation","year":2001,"lang":"en","type":"article","venue":"Statistics & Probability Letters","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":191,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Transformation (genetics); Random variable; Bivariate analysis; Multivariate normal distribution; Combinatorics; Maxima; Probability theory; Multivariate statistics; Probability distribution; Distribution (mathematics); Sequence (biology); Multivariate stable distribution; Function (biology); Characteristic function (probability theory); Probability density function; Mathematical analysis; Statistics; Normal-Wishart distribution","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0008543044,0.0002477136,0.0002322968,0.00004142676,0.000372413,0.00009378607,0.0002847584,0.0000702147,0.0009345921],"category_scores_gemma":[0.004196008,0.000174134,0.00008608756,0.0003170462,0.0003945902,0.0001127955,0.00002775337,0.0003586455,0.0002158902],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002413004,"about_ca_system_score_gemma":0.0000503718,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004938393,"about_ca_topic_score_gemma":0.00005529679,"domain_scores_codex":[0.9978685,0.0002972375,0.0006505379,0.0003746932,0.0004463492,0.0003626999],"domain_scores_gemma":[0.9959756,0.002905186,0.0001649674,0.0006183154,0.000213449,0.0001225116],"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":[0.00004917462,0.0002885757,0.00007524718,0.00005842329,0.00001841514,0.000001486258,0.0004047591,0.00001813003,0.0002147955,0.9852408,0.01077338,0.002856831],"study_design_scores_gemma":[0.0003393998,0.00004380227,0.004767548,0.00002238193,0.00003664214,0.000004899577,0.00001528184,0.006093847,0.0001048831,0.9870362,0.001336599,0.00019851],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08716016,9.856224e-7,0.8926272,0.01593379,0.00008413706,0.001356059,0.0009725054,0.0001753563,0.001689745],"genre_scores_gemma":[0.6520288,0.000002041528,0.3445943,0.002436655,0.0000435348,0.0005029103,0.0003002702,0.00002591299,0.00006563188],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5648686,"threshold_uncertainty_score":0.9999787,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0893554095381958,"score_gpt":0.3425187243114832,"score_spread":0.2531633147732874,"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."}}