{"id":"W2047283491","doi":"10.1155/2014/838625","title":"Sum of Bernoulli Mixtures: Beyond Conditional Independence","year":2014,"lang":"en","type":"article","venue":"Journal of Probability and Statistics","topic":"Credit Risk and Financial Regulations","field":"Economics, Econometrics and Finance","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Bernoulli's principle; Mixing (physics); Bernoulli distribution; Random variable; Conditional probability distribution; Beta-binomial distribution; Independence (probability theory); Event (particle physics); Statistics; Binomial distribution; Conditional independence; Limit (mathematics); Applied mathematics; Joint probability distribution; Econometrics; Statistical physics; Negative binomial distribution; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004961908,0.001346106,0.001977442,0.001892431,0.001063821,0.00329775,0.002564831,0.002145117,0.003935626],"category_scores_gemma":[0.02500066,0.001090258,0.001642866,0.002354315,0.003807273,0.006397983,0.002945435,0.003690694,0.0007372311],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001163107,"about_ca_system_score_gemma":0.0007479849,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002659191,"about_ca_topic_score_gemma":0.001534258,"domain_scores_codex":[0.9973121,0.001135108,0.00009336072,0.0004441042,0.0006971192,0.0003182408],"domain_scores_gemma":[0.9857945,0.01025797,0.001431548,0.001004514,0.0008677733,0.0006435873],"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":[0.0001062302,0.00004695508,0.002417504,0.0001044875,0.00007747131,0.0004275981,0.00024785,0.1642858,0.001234052,0.8183805,0.001126711,0.01154491],"study_design_scores_gemma":[0.00001161724,0.00003111991,0.0004755914,0.00002813102,0.00002621861,0.0002377371,0.00003362003,0.7179084,0.0003203691,0.2797421,0.001151665,0.00003350532],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04901735,0.001133718,0.9431873,0.0007182178,0.0001190766,0.0000426132,0.00009853626,0.0001673477,0.005515844],"genre_scores_gemma":[0.8342978,0.002512851,0.1467256,0.0006685054,0.0008650773,0.0002527437,0.0003509966,0.000289884,0.01403652],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004961908,"threshold_uncertainty_score":0.02624136,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02083595313029508,"score_gpt":0.2298831211991125,"score_spread":0.2090471680688174,"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."}}