{"id":"W2084933245","doi":"10.1080/03610920600974534","title":"On Infinitely Divisible Exponential Dispersion Model Related to Poisson-Exponential Distribution","year":2007,"lang":"en","type":"article","venue":"Communication in Statistics- Theory and Methods","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Poisson distribution; Mathematics; Natural exponential family; Compound Poisson distribution; Exponential function; Exponential distribution; Exponential family; Infinite divisibility; Variance (accounting); Applied mathematics; Pure mathematics; Statistics; Poisson regression; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005512717,0.0002141195,0.000284791,0.0001692282,0.0003868224,0.00006259124,0.000302127,0.0001485688,0.0002023855],"category_scores_gemma":[0.006402184,0.0002184164,0.00004495534,0.0004551748,0.0002203527,0.0001058645,0.000181481,0.0003610916,0.00004359429],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000131618,"about_ca_system_score_gemma":0.00003494045,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001468782,"about_ca_topic_score_gemma":0.00001693215,"domain_scores_codex":[0.9972245,0.00110044,0.0007802279,0.0003334804,0.0002432697,0.0003181384],"domain_scores_gemma":[0.9912688,0.007413884,0.0002067603,0.0007110958,0.0001722581,0.0002272341],"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":[0.0002615881,0.0002469967,0.00002925448,0.00002674426,0.00001280693,0.000001001225,0.0006744594,0.0002239866,0.000836998,0.9515929,0.001118338,0.04497497],"study_design_scores_gemma":[0.0006753744,0.00006131173,0.004101352,0.00009108787,0.00004117141,0.000003523487,0.0002659028,0.04433247,0.001014558,0.9486399,0.0005279563,0.0002453469],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02194238,0.00005626059,0.9746951,0.0002889062,0.00007874096,0.0004859975,0.000768984,0.00009804557,0.001585616],"genre_scores_gemma":[0.5999511,0.0000416128,0.3988686,0.0001293973,0.000007237443,0.00006147875,0.0006790888,0.00001876184,0.0002427557],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5780087,"threshold_uncertainty_score":0.8906764,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07005314888880125,"score_gpt":0.4713644646766444,"score_spread":0.4013113157878431,"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."}}