{"id":"W4414702442","doi":"10.71465/ajbd3378","title":"A Popular Explanation and Statistical Significance Comparison of the Law of Large Numbers and the Central Limit Theorem","year":2025,"lang":"en","type":"article","venue":"American Journal Of Big Data","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Ontario Neurotrauma Foundation","funders":"","keywords":"Central limit theorem; Law of large numbers; Limit (mathematics); Position (finance); Value (mathematics); Core (optical fiber); Probability theory; Calculus (dental)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.02083064,0.0009461886,0.00108583,0.004461769,0.00211559,0.004806284,0.002230695,0.00466232,0.004918686],"category_scores_gemma":[0.075165,0.0004150577,0.0009555703,0.003482707,0.02444858,0.01298736,0.00423516,0.007766957,0.0006238216],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002305873,"about_ca_system_score_gemma":0.002037104,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009869336,"about_ca_topic_score_gemma":0.0004903584,"domain_scores_codex":[0.9867724,0.00804696,0.0005203406,0.00166294,0.002650389,0.0003470276],"domain_scores_gemma":[0.9388107,0.05215035,0.002345791,0.003127823,0.003050416,0.0005149276],"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":[0.0000139681,0.000006364784,0.0001907219,0.00003533158,0.000009605598,0.00004907737,0.0003168881,0.0003340206,0.00007679515,0.9922284,0.001910512,0.004828283],"study_design_scores_gemma":[0.00001721981,0.00002291637,0.0002741174,0.00004965989,0.000008785476,0.000119137,0.0001203923,0.001803883,0.0001123643,0.9863513,0.01110256,0.00001767167],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01883755,0.01824029,0.8040033,0.1040058,0.004651048,0.00007993357,0.0003865702,0.0003975838,0.04939794],"genre_scores_gemma":[0.7957181,0.007733169,0.1558122,0.02284531,0.009461201,0.0006034576,0.0002361392,0.0004049248,0.007185409],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02083064,"threshold_uncertainty_score":0.1101642,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.125969905394881,"score_gpt":0.4056551318560386,"score_spread":0.2796852264611577,"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."}}