{"id":"W2025514394","doi":"10.2478/s11533-011-0088-x","title":"Grüss-type bounds for covariances and the notion of quadrant dependence in expectation","year":2011,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"Hong Kong Baptist University; Agencia Nacional de Investigación e Innovación","keywords":"Quadrant (abdomen); Mathematics; Type (biology); Statistics; Geology; Medicine","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":[0.005009017,0.00006056845,0.0002392185,0.00004876211,0.00008786075,0.000123328,0.0006469103,0.0000420932,0.00004997054],"category_scores_gemma":[0.002194431,0.00003200389,0.00003152189,0.0002352995,0.0001938339,0.0004175523,0.0001252412,0.00004393678,0.000009868704],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008290166,"about_ca_system_score_gemma":0.00005097301,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00020855,"about_ca_topic_score_gemma":0.0006343462,"domain_scores_codex":[0.9988077,0.000108054,0.0005074903,0.0001740415,0.000313713,0.00008902264],"domain_scores_gemma":[0.9978368,0.001368855,0.0002692728,0.0003223819,0.0001835859,0.00001909713],"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":[0.0006446816,0.0003376251,0.002214398,0.0000973149,0.00001696356,8.599177e-7,0.08751716,0.0001482388,0.000284253,0.896188,0.0001149935,0.01243551],"study_design_scores_gemma":[0.0006819222,0.00005647706,0.002141428,0.00003749491,0.000008675141,0.000002639016,0.0034929,0.03332348,0.0007666706,0.9593853,0.00005065664,0.00005234246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6871381,0.0001777412,0.2988196,0.000425986,0.000203476,0.001694531,0.000009245384,0.000007440499,0.01152389],"genre_scores_gemma":[0.9358906,0.00002640981,0.06379369,0.00002295688,0.00000585132,0.00003662469,5.565441e-7,0.000003325596,0.000219988],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2487525,"threshold_uncertainty_score":0.2627098,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3915975860407322,"score_gpt":0.4338039926088952,"score_spread":0.04220640656816299,"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."}}