{"id":"W4399588670","doi":"10.1177/00080683241246438","title":"Distribution of the Joint Survival Function of an Archimedean Copula","year":2024,"lang":"en","type":"article","venue":"Calcutta Statistical Association Bulletin","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University; Bank of Canada","funders":"","keywords":"Copula (linguistics); Joint probability distribution; Mathematics; Combinatorics; Marginal distribution; Bivariate analysis; Multivariate random variable; Survival function; Regular polygon; Random variable; Statistics; Econometrics","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":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001503793,0.0001340882,0.000341731,0.00003042569,0.00007111398,0.00003564494,0.0001313883,0.0001206404,0.0009340387],"category_scores_gemma":[0.01224783,0.00009582748,0.0001011238,0.0002189257,0.0001345805,0.00002425805,0.00005930727,0.000266042,0.00003196056],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001701258,"about_ca_system_score_gemma":0.00007289696,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005765988,"about_ca_topic_score_gemma":0.000008106636,"domain_scores_codex":[0.9976045,0.000660312,0.0006604079,0.0002384823,0.0006108686,0.0002253908],"domain_scores_gemma":[0.9949374,0.004244215,0.0002537211,0.0002325925,0.0002445846,0.00008751579],"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":[0.00002877783,0.000127479,0.0005060455,0.0002037472,0.000055126,0.000001635374,0.00007241259,0.000002503079,0.0005941526,0.9702463,0.0149368,0.01322509],"study_design_scores_gemma":[0.0003929684,0.0003447888,0.1338563,0.0002350809,0.0003017208,0.000002225294,0.0001139357,0.006051227,0.002026716,0.8421822,0.01425218,0.0002406606],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05394659,0.00002774529,0.9394343,0.001267002,0.0008209434,0.000260969,0.00255921,0.00006758793,0.001615598],"genre_scores_gemma":[0.9601639,0.000004816104,0.03884771,0.00004491826,0.0001193471,0.00001651539,0.0001526775,0.00002286277,0.0006272533],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9062173,"threshold_uncertainty_score":0.9999793,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05007733697419314,"score_gpt":0.3351866505830149,"score_spread":0.2851093136088217,"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."}}