{"id":"W4311936375","doi":"10.5539/ijsp.v11n6p60","title":"Negative Binomial and Geometric; Bivariate and Difference Distributions","year":2022,"lang":"en","type":"article","venue":"International Journal of Statistics and Probability","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Negative binomial distribution; Bivariate analysis; Geometric distribution; Continuity correction; Binomial distribution; Statistics; Binomial coefficient; Multinomial distribution; Beta-binomial distribution; Beta negative binomial distribution; Negative multinomial distribution; Similarity (geometry); Combinatorics; Probability distribution","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006914508,0.0000903634,0.0002056763,0.000084935,0.0001532366,0.00005318517,0.0001046201,0.00001962252,0.00005393449],"category_scores_gemma":[0.003078791,0.00007605305,0.00001995731,0.00007123544,0.0001717692,0.00006799646,0.0002075707,0.000238265,6.453514e-8],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006997751,"about_ca_system_score_gemma":0.00004915232,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000217809,"about_ca_topic_score_gemma":0.000005134072,"domain_scores_codex":[0.9989204,0.0001471031,0.0003857084,0.0001442753,0.0003022026,0.000100262],"domain_scores_gemma":[0.9968494,0.002373922,0.0002756384,0.00005799353,0.0003376584,0.000105374],"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":[0.0001902276,0.000152454,0.002385491,0.0000368901,0.00008726751,0.00002920245,0.0003461013,0.00001843576,0.0001173428,0.9141616,0.0001525418,0.0823224],"study_design_scores_gemma":[0.0005536915,0.0002299775,0.02028233,0.00001050708,0.00003641779,0.0001195283,0.0000624394,0.001675208,0.00003156691,0.9765503,0.000367661,0.00008039683],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1809041,0.00008565684,0.8160233,0.000398527,0.0001956021,0.0000911526,0.002257854,0.000003547504,0.00004020549],"genre_scores_gemma":[0.5623238,0.00009992815,0.4374774,0.00002754068,0.00003568715,0.000005080166,0.000005623634,0.000004162278,0.00002075854],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3814197,"threshold_uncertainty_score":0.3685823,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07610080830654394,"score_gpt":0.3868130591949732,"score_spread":0.3107122508884292,"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."}}