{"id":"W4378506279","doi":"10.1002/sta4.622","title":"Asymptotic tail properties of Poisson mixture distributions","year":2023,"lang":"en","type":"article","venue":"Stat","topic":"Statistical Methods and Bayesian Inference","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Poisson distribution; Overdispersion; Zero-inflated model; Mixing (physics); Mathematics; Compound Poisson distribution; Statistical physics; Maxima; Count data; Mixture model; Distribution (mathematics); Statistics; Applied mathematics; Mathematical analysis; Poisson regression; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001943322,0.00007914636,0.000169908,0.00003784243,0.00005590672,0.0000141851,0.00009420041,0.00004249918,0.0001338684],"category_scores_gemma":[0.001713854,0.00005697091,0.0000412511,0.0002688454,0.00008958963,0.00003214712,0.00004284441,0.00008191575,0.00006399049],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001635778,"about_ca_system_score_gemma":0.0000326347,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001775574,"about_ca_topic_score_gemma":0.000007070595,"domain_scores_codex":[0.9992898,0.00006621316,0.0001914748,0.0001138425,0.0001529875,0.0001857151],"domain_scores_gemma":[0.9992871,0.0003526798,0.00005366821,0.0001779817,0.0000796478,0.00004898134],"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":[0.00001464888,0.00006344981,0.0003689989,0.0003482341,0.00002777323,0.000009027362,0.0005054463,2.994528e-7,0.00803831,0.959525,0.01158481,0.01951401],"study_design_scores_gemma":[0.0001340863,0.0000601551,0.002321549,0.0001296897,0.00003105558,0.000002288926,0.0002141237,0.0004212599,0.01425176,0.9814502,0.0008757097,0.0001081049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1252242,0.00007768992,0.86977,0.001065869,0.0002331184,0.0002764035,0.0005718311,0.0002299083,0.002551026],"genre_scores_gemma":[0.816985,0.000017972,0.1820865,0.00001843032,0.00003840603,0.00002232535,0.00001855627,0.00001560937,0.0007971773],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6917608,"threshold_uncertainty_score":0.2323206,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08475699466675096,"score_gpt":0.3555196375169224,"score_spread":0.2707626428501715,"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."}}