{"id":"W1976053944","doi":"10.1016/j.jspi.2011.08.002","title":"A class of correlated weighted Poisson processes","year":2011,"lang":"en","type":"article","venue":"Journal of Statistical Planning and Inference","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Poisson distribution; Compound Poisson process; Poisson binomial distribution; Negative binomial distribution; Compound Poisson distribution; Zero-inflated model; Marginal distribution; Cox process; Binomial (polynomial); Poisson process; Counting process; Covariance; Applied mathematics; Statistics; Combinatorics; Poisson regression; Random variable","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001743934,0.00008016974,0.0002320461,0.00005907369,0.00004653645,0.00001315851,0.00008166784,0.00005208673,0.0002565169],"category_scores_gemma":[0.003495992,0.00006117047,0.00001700622,0.0001518887,0.0001465691,0.0000860502,0.00001488251,0.0001711985,0.000003991291],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001048851,"about_ca_system_score_gemma":0.00008827427,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000055295,"about_ca_topic_score_gemma":3.902793e-7,"domain_scores_codex":[0.9990892,0.00003215671,0.0005216961,0.00007353009,0.0001802506,0.0001031571],"domain_scores_gemma":[0.9975488,0.001426673,0.0003709283,0.00006084784,0.0004713196,0.0001215],"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":[0.00008847447,0.0001998911,0.002584412,0.0001825267,0.00003280601,0.00002334245,0.000758261,0.000001807384,0.0001157089,0.9914741,0.002222836,0.002315816],"study_design_scores_gemma":[0.0008344062,0.0005831499,0.06361282,0.0005967297,0.0001665926,0.0001599719,0.0004569723,0.008412725,0.0009166443,0.9237108,0.0003496396,0.0001995918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04434422,0.0000620814,0.9526563,0.00005183507,0.000031726,0.00005026901,0.0001470279,0.000012946,0.002643639],"genre_scores_gemma":[0.917205,0.00001462262,0.08271219,0.0000212973,0.00001030846,0.000001693473,0.00000839633,0.00000451505,0.00002198288],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8728608,"threshold_uncertainty_score":0.4185282,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1258506867036639,"score_gpt":0.3805768424312032,"score_spread":0.2547261557275393,"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."}}