{"id":"W2092208443","doi":"10.1006/jmva.2001.2016","title":"Moment Properties of the Multivariate Dirichlet Distributions","year":2002,"lang":"en","type":"article","venue":"Journal of Multivariate Analysis","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Dirichlet distribution; Combinatorics; Joint probability distribution; Distribution (mathematics); Identity matrix; Multivariate statistics; Multivariate normal distribution; Matrix (chemical analysis); Marginal distribution; Random variable; Mathematical analysis; Statistics; Eigenvalues and eigenvectors","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":[0.0009047422,0.0001601635,0.0005169964,0.000289355,0.0001570826,0.0000783791,0.001117164,0.00006928571,0.00003830174],"category_scores_gemma":[0.0001839928,0.00008660259,0.0007550006,0.001767927,0.00006917488,0.0003688445,0.0002254338,0.000257389,0.000003070944],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006883765,"about_ca_system_score_gemma":0.00003871583,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001000601,"about_ca_topic_score_gemma":0.00000684054,"domain_scores_codex":[0.9978492,0.0004390742,0.0007758305,0.000195037,0.0005126252,0.0002282357],"domain_scores_gemma":[0.9978524,0.0000841806,0.0008957825,0.0006181104,0.0004402232,0.0001092698],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001566866,0.005500866,0.01099415,0.0001794937,0.02550088,0.000121605,0.02604802,0.02503599,0.4632235,0.2237207,0.003985706,0.2155325],"study_design_scores_gemma":[0.001845098,0.0001819092,0.03926232,0.0001856276,0.003278318,0.00005460496,0.00006506472,0.8891018,0.05474922,0.00662505,0.004147173,0.0005038054],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01997907,0.0005512551,0.9763892,0.002572182,0.0001970098,0.00008377901,0.000007543002,0.00001063939,0.0002093122],"genre_scores_gemma":[0.8607894,0.00005857102,0.1386728,0.00007180991,0.00005690332,0.000002340124,2.757614e-7,0.000005268053,0.0003426239],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8640658,"threshold_uncertainty_score":0.3531551,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03500292979712245,"score_gpt":0.265145110152451,"score_spread":0.2301421803553285,"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."}}