{"id":"W2002887102","doi":"10.1016/j.laa.2005.07.016","title":"Some complex matrix-variate statistical distributions on rectangular matrices","year":2005,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University; McGill University","funders":"","keywords":"Random variate; Mathematics; Dirichlet distribution; Cauchy distribution; Random matrix; Matrix (chemical analysis); Type (biology); Multivariate statistics; Distribution (mathematics); Multivariate normal distribution; Probability distribution; Pure mathematics; Mathematical analysis; Statistics; Random variable","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001680686,0.0002234953,0.0002552769,0.00008335739,0.0005438122,0.00007764276,0.000195165,0.0001082287,0.0008205532],"category_scores_gemma":[0.0003596691,0.0002105382,0.00005912959,0.0003671301,0.0001173056,0.0001412862,0.00005844857,0.000210949,0.001116848],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006753769,"about_ca_system_score_gemma":0.00003998138,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004152517,"about_ca_topic_score_gemma":0.000002942149,"domain_scores_codex":[0.9984393,0.00005622458,0.0005083905,0.0004158285,0.0002665022,0.0003138162],"domain_scores_gemma":[0.9981602,0.0008970901,0.0001436251,0.0003764323,0.0001509239,0.0002716561],"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":[0.000008201239,0.0003019507,0.000006020791,0.00003255986,0.00002184207,4.922665e-7,0.00002510188,0.00001147353,0.0004114108,0.9865862,0.008758315,0.003836506],"study_design_scores_gemma":[0.0008308926,0.0000810535,0.003588239,0.00002784988,0.0001884355,0.00002320283,0.00005668504,0.06130255,0.0009116628,0.6824694,0.2499735,0.0005464774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.005063824,0.0002858722,0.9792187,0.006727609,0.00002995936,0.001094298,0.005329351,0.0004061587,0.00184423],"genre_scores_gemma":[0.8499008,0.0002883039,0.1433987,0.0007778872,0.0008240066,0.001166937,0.002534008,0.00005696777,0.001052388],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.844837,"threshold_uncertainty_score":0.9996609,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04937226049288661,"score_gpt":0.3686326015951581,"score_spread":0.3192603411022715,"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."}}