{"id":"W2011167992","doi":"10.1080/02331888.2010.543468","title":"Nonlinear regression in a trivariate elliptical distribution via a linear combination of order statistics","year":2011,"lang":"en","type":"article","venue":"Statistics","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Centre de Recherches Mathématiques","keywords":"Mathematics; Elliptical distribution; Statistics; Bivariate analysis; Joint probability distribution; Order statistic; Skew; Kernel regression; Kernel (algebra); Distribution (mathematics); Applied mathematics; Marginal distribution; Regression; Multivariate statistics; Mathematical analysis; Combinatorics; Multivariate normal distribution; Random variable","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":[],"consensus_categories":[],"category_scores_codex":[0.0003881326,0.0002172539,0.0003910955,0.00009961331,0.00008928886,0.00001287135,0.0001748724,0.0001453411,0.0006986446],"category_scores_gemma":[0.003227132,0.0002042871,0.00003561407,0.0005814559,0.00022239,0.00008082088,0.00005437421,0.0002471613,0.00008411737],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001045277,"about_ca_system_score_gemma":0.0001136278,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007789247,"about_ca_topic_score_gemma":0.0000381129,"domain_scores_codex":[0.997903,0.0001379721,0.000948841,0.0002863232,0.0004218674,0.0003019442],"domain_scores_gemma":[0.9975635,0.0008980806,0.0003630873,0.0003385794,0.0006960938,0.0001406587],"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":[0.00008359039,0.001408332,0.0003006122,0.0001299919,0.00001619723,0.00001124465,0.0002759545,0.000005078422,0.0001299283,0.9903643,0.003144856,0.004129934],"study_design_scores_gemma":[0.001515987,0.0002630111,0.01157313,0.00008866607,0.00009379009,0.000007465978,0.00008044581,0.2273762,0.001236628,0.7570274,0.0004436984,0.000293572],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004067252,0.000006758732,0.983905,0.00005694726,0.000100352,0.0004228168,0.01081118,0.00006197052,0.0005677102],"genre_scores_gemma":[0.3124575,0.00001736604,0.6844039,0.00002367077,0.00002403128,0.000045524,0.002887436,0.00002602714,0.0001145417],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3083903,"threshold_uncertainty_score":0.8330587,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08196055068938743,"score_gpt":0.36609034107785,"score_spread":0.2841297903884626,"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."}}