{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01518409,0.0006950996,0.001235753,0.00309352,0.0009412321,0.002584101,0.002255922,0.00145277,0.005214197],"category_scores_gemma":[0.125635,0.0007878938,0.001132306,0.001505129,0.003543189,0.004988084,0.002533112,0.003392568,0.001021669],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00158711,"about_ca_system_score_gemma":0.00084044,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002115174,"about_ca_topic_score_gemma":0.001053926,"domain_scores_codex":[0.9971214,0.001410907,0.0001224362,0.0003533187,0.0007817233,0.0002101449],"domain_scores_gemma":[0.9166636,0.06978282,0.004080324,0.004039916,0.004296176,0.001137141],"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":[0.0002245579,0.0000904521,0.01351149,0.0002603323,0.0001279717,0.0003777685,0.0009858829,0.1476682,0.002913745,0.8047357,0.003270644,0.02583307],"study_design_scores_gemma":[0.00002547582,0.00004577319,0.003926341,0.0001512928,0.00003193623,0.0003204329,0.00017792,0.6491033,0.001017075,0.3435922,0.001529868,0.00007827424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09834427,0.001091048,0.8876932,0.001057504,0.00007654889,0.00009983647,0.0002537625,0.0007588747,0.01062499],"genre_scores_gemma":[0.9281289,0.001173759,0.06384043,0.0003453867,0.0002703025,0.0003814404,0.0008244625,0.0004768264,0.004558457],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01518409,"threshold_uncertainty_score":0.08030212,"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."}}