{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008767975,0.001203263,0.001347701,0.002646996,0.0008505337,0.002268051,0.002092378,0.001529663,0.003875558],"category_scores_gemma":[0.0425205,0.0007644351,0.001715425,0.001961725,0.005179074,0.005133714,0.004480234,0.003999338,0.0006241356],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002002424,"about_ca_system_score_gemma":0.001147207,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00207206,"about_ca_topic_score_gemma":0.001319321,"domain_scores_codex":[0.9957581,0.001629243,0.0001756931,0.0005757717,0.001408147,0.0004530046],"domain_scores_gemma":[0.9709108,0.01912301,0.00310161,0.002629418,0.003276547,0.0009586273],"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":[0.00004224926,0.00001916599,0.0008113567,0.00007124169,0.00004075062,0.0001313077,0.00009987612,0.06077479,0.002490406,0.9265442,0.0009938442,0.007980674],"study_design_scores_gemma":[0.000007899803,0.00002910781,0.0008006365,0.00003907162,0.00001380328,0.0001213177,0.00002667112,0.2227092,0.001181403,0.7735127,0.001517975,0.00004014163],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02629561,0.0008538287,0.9629467,0.0006438973,0.00005367251,0.00003147298,0.000163601,0.0001013697,0.008909874],"genre_scores_gemma":[0.8760926,0.00174584,0.1172065,0.0006932302,0.0002478643,0.0001759072,0.0002959865,0.0001768753,0.003365289],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008767975,"threshold_uncertainty_score":0.04637003,"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."}}