{"id":"W2225652475","doi":"10.1016/j.jmva.2017.11.008","title":"On the domain of attraction of a Tracy–Widom law with applications to testing multiple largest roots","year":2017,"lang":"en","type":"preprint","venue":"Journal of Multivariate Analysis","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Polytechnique Montréal","funders":"National Institutes of Health; National Science Foundation","keywords":"Mathematics; Gumbel distribution; Test statistic; Null distribution; Null hypothesis; Null (SQL); Statistic; Statistical hypothesis testing; Statistics; One- and two-tailed tests; F-test; Pairwise comparison; Covariance; Applied mathematics; Extreme value theory; Computer science","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":[0.01613841,0.001184199,0.002972164,0.005380494,0.001512114,0.004100699,0.003138369,0.002347067,0.006128727],"category_scores_gemma":[0.1207643,0.0009167023,0.001339569,0.002715211,0.009825189,0.007298738,0.005399277,0.005558308,0.0003473114],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001496107,"about_ca_system_score_gemma":0.001734732,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0026629,"about_ca_topic_score_gemma":0.001147498,"domain_scores_codex":[0.9968002,0.00179466,0.0001174871,0.0005148342,0.0005383991,0.0002343826],"domain_scores_gemma":[0.8023378,0.1804183,0.00534306,0.003131332,0.00481434,0.003955141],"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":[0.0001424982,0.00007500053,0.002762357,0.0002223818,0.0000651928,0.0001830289,0.000338998,0.03138674,0.001109909,0.9465247,0.002416448,0.01477275],"study_design_scores_gemma":[0.00004900845,0.00008491815,0.001171316,0.0001426247,0.00004201954,0.0001703472,0.0001544278,0.4068448,0.0005319648,0.589003,0.001734437,0.00007105097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1089781,0.00442548,0.8664415,0.00449404,0.0003084753,0.0001166512,0.0003511588,0.0002420138,0.0146425],"genre_scores_gemma":[0.8888412,0.004534562,0.09636439,0.0009144385,0.001542955,0.0003354678,0.0004820243,0.0002010559,0.006783868],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01613841,"threshold_uncertainty_score":0.08534914,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07903768208263076,"score_gpt":0.3596769164058623,"score_spread":0.2806392343232316,"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."}}