{"id":"W1554478671","doi":"","title":"The Local Limit Theorem: A Historical Perspective","year":2005,"lang":"en","type":"article","venue":"Journal of the Iranian Statistical Society","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Central limit theorem; Mathematics; Fermat's Last Theorem; Limit (mathematics); Bernoulli's principle; Regular prime; Picard–Lindelöf theorem; Laplace transform; Binomial theorem; Carlson's theorem; Fundamental theorem; Calculus (dental); Brouwer fixed-point theorem; Discrete mathematics; Danskin's theorem; Mathematical analysis; Fixed-point theorem; Statistics","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":[0.001081291,0.0002032776,0.0003840102,0.00001210121,0.0005409127,0.00008353346,0.000691248,0.00009818216,0.00008167722],"category_scores_gemma":[0.005295795,0.00009795664,0.000432637,0.000196855,0.0003552932,0.00007782759,0.0001256369,0.0008472995,0.00001677165],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001303337,"about_ca_system_score_gemma":0.0002173613,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000122219,"about_ca_topic_score_gemma":0.0000235765,"domain_scores_codex":[0.997686,0.000149832,0.000714326,0.0001695044,0.0008703849,0.0004100023],"domain_scores_gemma":[0.9936883,0.004850861,0.0004275703,0.0002885619,0.0005212067,0.0002235155],"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":[0.0001012976,0.000135554,0.000004938376,0.00002041857,0.0001206617,0.000008442955,0.00100531,0.00001111614,0.0000212028,0.9021814,0.08360242,0.0127872],"study_design_scores_gemma":[0.0006622007,0.0002152836,0.0001225894,0.00005182144,0.000249925,0.0002039068,0.002048477,0.01260045,0.00004023893,0.9580556,0.0255835,0.0001660419],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0003819161,0.0005138241,0.9831936,0.01412355,0.0005581666,0.0001487257,0.00003550548,0.00002400751,0.00102067],"genre_scores_gemma":[0.802949,0.0001072699,0.1936631,0.001124681,0.001124194,0.000006401965,2.542563e-7,0.00005107969,0.0009740706],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.802567,"threshold_uncertainty_score":0.6339944,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02939029056141764,"score_gpt":0.30702107113979,"score_spread":0.2776307805783724,"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."}}