{"id":"W2963031038","doi":"10.48550/arxiv.1002.1451","title":"Extension of the Olkin and Rubin Characterization to the Wishart\\n distribution on homogeneous cones","year":2010,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Wishart distribution; Mathematics; Homogeneous; Distribution (mathematics); Generalization; Characterization (materials science); Extension (predicate logic); Pure mathematics; Combinatorics; Mathematical analysis; Statistics; Physics; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001916277,0.0007116501,0.0006224989,0.002229798,0.001074877,0.002395813,0.001128491,0.0006989218,0.006081302],"category_scores_gemma":[0.00663386,0.0003343803,0.0009246441,0.001518262,0.002549926,0.004239837,0.001879472,0.002284078,0.0007806665],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00145713,"about_ca_system_score_gemma":0.001021383,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002553051,"about_ca_topic_score_gemma":0.001451653,"domain_scores_codex":[0.9989865,0.000275057,0.00004394284,0.0002181365,0.0003171894,0.0001591634],"domain_scores_gemma":[0.9959524,0.001537971,0.0005247886,0.0004151582,0.001130559,0.0004392541],"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":[0.0000190709,0.00001300902,0.0003047348,0.00001664495,0.000007133727,0.00007591492,0.0000829819,0.002462161,0.0008571084,0.9910669,0.001253998,0.003840392],"study_design_scores_gemma":[0.00001175955,0.00003000752,0.0008779989,0.00002299388,0.000009898913,0.0002465631,0.0001002871,0.06820869,0.001269248,0.9229686,0.006222363,0.00003157214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1172679,0.001069091,0.8035854,0.002135758,0.0002050292,0.00008441603,0.0006676657,0.0002439709,0.07474075],"genre_scores_gemma":[0.9184467,0.002063414,0.04545502,0.001138729,0.0008581682,0.0001261665,0.0006506966,0.0002916455,0.03096947],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.006081302,"threshold_uncertainty_score":0.02034402,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07170042171176016,"score_gpt":0.2164090702783592,"score_spread":0.144708648566599,"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."}}