{"id":"W2016098050","doi":"10.1016/j.jmva.2008.04.006","title":"The noncentral Wishart as an exponential family, and its moments","year":2008,"lang":"en","type":"article","venue":"Journal of Multivariate Analysis","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Wishart distribution; Mathematics; Inverse-Wishart distribution; Combinatorics; Random matrix; Distribution (mathematics); Matrix (chemical analysis); Applied mathematics; Exponential family; Statistics; Mathematical analysis; Eigenvalues and eigenvectors; Multivariate statistics","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":[0.005706375,0.00132761,0.001299301,0.002093956,0.001167929,0.00371934,0.001837871,0.002051283,0.002990862],"category_scores_gemma":[0.02920544,0.0009873515,0.001578834,0.002923044,0.003750274,0.006082423,0.001624378,0.002918288,0.001067332],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001275188,"about_ca_system_score_gemma":0.001748269,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002462386,"about_ca_topic_score_gemma":0.001562803,"domain_scores_codex":[0.9985461,0.0006178878,0.00009861749,0.0003024224,0.0003131506,0.0001218993],"domain_scores_gemma":[0.9893888,0.006447838,0.001129027,0.001026795,0.001492349,0.0005151171],"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":[0.00007126788,0.00003500958,0.0008291359,0.0000832272,0.00003683005,0.0002586816,0.0002773266,0.02522056,0.00157343,0.9596493,0.002347378,0.00961788],"study_design_scores_gemma":[0.0000160934,0.00004274283,0.001026481,0.00004434276,0.0000465996,0.0006590994,0.0001128532,0.2272716,0.0006196977,0.7655169,0.004569589,0.00007402278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05432687,0.006094292,0.926158,0.001513879,0.0003379026,0.00003952221,0.0003026828,0.0002237088,0.01100314],"genre_scores_gemma":[0.804065,0.01384922,0.1333102,0.0009795021,0.00258946,0.0002754562,0.0008781795,0.000550859,0.04350209],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005706375,"threshold_uncertainty_score":0.03017855,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07888255589890744,"score_gpt":0.3823845250698287,"score_spread":0.3035019691709213,"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."}}