{"id":"W4406554668","doi":"10.1080/17442508.2025.2452846","title":"On the strong laws of large numbers for double arrays of blockwise quasi-orthogonal random variables","year":2025,"lang":"en","type":"article","venue":"Stochastics","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"National Foundation for Science and Technology Development","keywords":"Mathematics; Law of large numbers; Random variable; Law; Statistical physics; Statistics; Physics; Political science","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":[0.008223009,0.0009639247,0.001162183,0.001522201,0.0008128828,0.002682399,0.001106828,0.00106964,0.003365293],"category_scores_gemma":[0.04004956,0.0006125572,0.001042298,0.001247621,0.005747622,0.006871007,0.00307731,0.004358848,0.0005052513],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001135461,"about_ca_system_score_gemma":0.0008737036,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006726973,"about_ca_topic_score_gemma":0.0005647533,"domain_scores_codex":[0.9966416,0.001521941,0.0001223926,0.0004056588,0.0009725266,0.000335772],"domain_scores_gemma":[0.9467888,0.04428843,0.003105009,0.002386298,0.002358119,0.001073212],"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":[0.00002658894,0.00001676608,0.0004740531,0.00006498236,0.00001997388,0.0001154042,0.0001032627,0.01343429,0.00096795,0.9795049,0.0007969547,0.004474883],"study_design_scores_gemma":[0.00001910356,0.00004967881,0.000551911,0.0000429824,0.00001277036,0.0001264993,0.00004079131,0.1457367,0.0005130486,0.8505908,0.002286616,0.00002915594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03183782,0.001117827,0.9489145,0.001177691,0.00014157,0.00004486421,0.0000898971,0.000100413,0.01657538],"genre_scores_gemma":[0.8670759,0.003032411,0.1170826,0.001240838,0.0009413476,0.0005217455,0.0002053346,0.0002114965,0.0096883],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008223009,"threshold_uncertainty_score":0.04348797,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07365690465502696,"score_gpt":0.3769085238735727,"score_spread":0.3032516192185458,"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."}}