{"id":"W879901372","doi":"10.1016/j.insmatheco.2015.05.007","title":"On two families of bivariate distributions with exponential marginals: Aggregation and capital allocation","year":2015,"lang":"en","type":"article","venue":"Insurance Mathematics and Economics","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval; Actua","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bivariate analysis; Mathematics; Erlang distribution; Erlang (programming language); Exponential function; Laplace distribution; Exponential family; Exponential distribution; Normal-gamma distribution; Applied mathematics; Joint probability distribution; Gamma distribution; Natural exponential family; Statistics; Mathematical analysis; Asymptotic distribution; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01231008,0.001530195,0.002706919,0.003318153,0.001665127,0.005025604,0.002877519,0.002939958,0.004694429],"category_scores_gemma":[0.06164765,0.001305921,0.00230029,0.004269368,0.006143785,0.008504409,0.00364318,0.003053829,0.0004382135],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003432338,"about_ca_system_score_gemma":0.001639294,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004835216,"about_ca_topic_score_gemma":0.002465913,"domain_scores_codex":[0.9955345,0.002733432,0.0001764777,0.0005943218,0.0004888173,0.0004724465],"domain_scores_gemma":[0.9382229,0.04897596,0.004641644,0.002827243,0.003404737,0.001927461],"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":[0.00004814187,0.00004237753,0.001246296,0.00004645605,0.0000428081,0.0001215991,0.0002475933,0.03455821,0.0002121279,0.9569108,0.001403338,0.005120298],"study_design_scores_gemma":[0.0000230984,0.00001750685,0.001083703,0.00005155792,0.00003561395,0.0001171398,0.0001359551,0.2760977,0.0001108452,0.7212813,0.001010425,0.00003508077],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1244233,0.00197828,0.8620432,0.002669609,0.00009965659,0.00005673308,0.0002417433,0.0001258564,0.008361597],"genre_scores_gemma":[0.9041107,0.004181097,0.07997066,0.000523155,0.0006325843,0.0002427668,0.0005266619,0.0001512471,0.009661152],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01231008,"threshold_uncertainty_score":0.06510276,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04709365414673198,"score_gpt":0.2961284771847598,"score_spread":0.2490348230380278,"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."}}