{"id":"W1544795972","doi":"10.66573/001c.141988","title":"Bounds for Probabilities of Extreme Events Defined by Two Random Variables","year":2009,"lang":"en","type":"article","venue":"Variance","topic":"Risk and Portfolio Optimization","field":"Decision Sciences","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of New Brunswick; University of Manitoba","funders":"","keywords":"Consistency (knowledge bases); Random variable; Mathematics; Extreme value theory; Tail risk; Volatility (finance); Event (particle physics); Econometrics; Mathematical optimization; Applied mathematics; Statistics; Discrete mathematics","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":[],"consensus_categories":[],"category_scores_codex":[0.001708278,0.0001163748,0.0003072018,0.00009041127,0.0001131092,0.00007774779,0.0003917399,0.00005912828,0.0001275729],"category_scores_gemma":[0.001908457,0.00008858995,0.00009911846,0.0004760552,0.00004448243,0.000330511,0.00001745745,0.00003992097,0.0000153145],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001692854,"about_ca_system_score_gemma":0.00009104096,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003681859,"about_ca_topic_score_gemma":0.000007246606,"domain_scores_codex":[0.9982274,0.00009956684,0.0006127774,0.0003259302,0.000522766,0.0002116017],"domain_scores_gemma":[0.998037,0.000839652,0.0003109439,0.0004177122,0.0003394606,0.00005519337],"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":[0.002964447,0.001512137,0.02712047,0.00004429337,0.0001121558,0.000002776933,0.002835227,0.04403511,0.01331744,0.3967184,0.301838,0.2094996],"study_design_scores_gemma":[0.00429881,0.0002484823,0.003079281,0.00003179091,0.00002733016,0.000003206766,0.00006549891,0.02269708,0.001776621,0.8552483,0.1122853,0.000238283],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03344376,0.000842499,0.9519777,0.001392613,0.0006169775,0.0008265751,0.0001508303,0.00005606364,0.01069296],"genre_scores_gemma":[0.921457,0.0001711482,0.0670363,0.0002483712,0.0001031349,0.00004584124,0.00003067503,0.00001056254,0.01089695],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8880132,"threshold_uncertainty_score":0.3612593,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07222635242455985,"score_gpt":0.3448634654160929,"score_spread":0.272637112991533,"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."}}