{"id":"W1966686133","doi":"10.1007/s00184-012-0403-y","title":"Compound weighted Poisson distributions","year":2012,"lang":"en","type":"article","venue":"Metrika","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"McMaster University","keywords":"Mathematics; Poisson distribution; Index of dispersion; Compound Poisson distribution; Statistics; Zero-inflated model; Dispersion (optics); Distribution (mathematics); Factorial; Applied mathematics; Poisson regression; Mathematical analysis","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0002424546,0.0001012709,0.0001402377,0.00006785121,0.0001990526,0.00002954259,0.0001067882,0.00005533611,0.001527801],"category_scores_gemma":[0.0009429912,0.00009143774,0.00005732882,0.0006105473,0.00006183694,0.0001091301,0.00002917796,0.0001024885,0.0008243062],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008889067,"about_ca_system_score_gemma":0.0000148047,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006901074,"about_ca_topic_score_gemma":0.000001056533,"domain_scores_codex":[0.999113,0.0000469319,0.0002448402,0.0001110438,0.0002003594,0.0002837987],"domain_scores_gemma":[0.9987736,0.0006127798,0.00007383122,0.0002415702,0.00009702322,0.0002011665],"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":[0.000001909159,0.000249778,0.0005591172,0.000008540695,0.000011842,2.609889e-7,0.0000267787,5.467603e-8,0.0001310692,0.9670215,0.03040915,0.001580059],"study_design_scores_gemma":[0.0008948706,0.00003378584,0.07810572,0.00002286646,0.0001703007,0.00003270702,0.0001218683,0.001804783,0.006288046,0.5307913,0.3812271,0.0005066946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02475492,0.00008423862,0.9609032,0.0008996438,0.00013989,0.0002001039,0.000605293,0.0002119009,0.01220087],"genre_scores_gemma":[0.9628482,0.000003362024,0.03595058,0.000076767,0.000102011,0.00005191794,0.0003566176,0.00001075142,0.0005998055],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9380933,"threshold_uncertainty_score":0.9999537,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1051967359988385,"score_gpt":0.3899020412199301,"score_spread":0.2847053052210916,"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."}}