{"id":"W2047940392","doi":"10.1016/j.insmatheco.2008.08.002","title":"Characterization of comonotonicity using convex order","year":2008,"lang":"en","type":"article","venue":"Insurance Mathematics and Economics","topic":"Fuzzy Systems and Optimization","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Converse; Regular polygon; Characterization (materials science); Marginal distribution; Order (exchange); Quasiconvex function; Mathematics; Distribution (mathematics); Convex analysis; Mathematical optimization; Combinatorics; Random variable; Convex optimization; Economics; Statistics; Mathematical analysis; Finance; Physics; Geometry","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":[],"consensus_categories":[],"category_scores_codex":[0.0001652762,0.0001179348,0.0003606202,0.00005016148,0.00009413575,0.00001565726,0.00007044215,0.00007636416,0.00001218235],"category_scores_gemma":[0.00005876151,0.000114796,0.00003653249,0.0000719738,0.00007681342,0.000149593,0.00002986963,0.00004838849,0.000001780038],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002424238,"about_ca_system_score_gemma":0.00003437219,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001618308,"about_ca_topic_score_gemma":0.000005466283,"domain_scores_codex":[0.9992082,0.00001083037,0.0004840062,0.0001298866,0.00004993088,0.0001171555],"domain_scores_gemma":[0.9991981,0.00007819687,0.0003870213,0.0001982487,0.0001003865,0.00003809659],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001624939,0.002368063,0.1378808,0.007781855,0.0006674951,0.00001978754,0.03763925,0.008112578,0.1092421,0.692396,0.0001616625,0.003567883],"study_design_scores_gemma":[0.001980784,0.0001075726,0.01242958,0.0003903447,0.00006679153,0.0002763753,0.0004561254,0.9064584,0.01861813,0.05793635,0.0004417339,0.0008377568],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9802147,0.00001931175,0.01882609,0.00001771277,0.00009663602,0.0002220181,0.00005333206,0.00002092542,0.0005293],"genre_scores_gemma":[0.9463166,0.0002996714,0.05324107,0.00001963486,0.00003377503,0.000005656569,0.00000766832,0.00002391748,0.00005198105],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8983459,"threshold_uncertainty_score":0.4681246,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05333917474610676,"score_gpt":0.2503862243160772,"score_spread":0.1970470495699704,"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."}}