{"id":"W4244723345","doi":"10.1007/978-0-387-68276-1_15","title":"Multivariate Majorization","year":2010,"lang":"en","type":"book-chapter","venue":"Springer series in statistics","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Majorization; Multivariate statistics; Section (typography); Real line; Mathematics; Space (punctuation); Line (geometry); Combinatorics; Pure mathematics; Computer science; Statistics; Geometry","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":[0.0006294937,0.001061692,0.0007124467,0.00111955,0.0005168427,0.001819252,0.00060314,0.0004861194,0.02197946],"category_scores_gemma":[0.001596265,0.0003587903,0.0007273306,0.001236867,0.001418574,0.002116076,0.001409895,0.002496173,0.007926707],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000748074,"about_ca_system_score_gemma":0.0005741111,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003565078,"about_ca_topic_score_gemma":0.0004863395,"domain_scores_codex":[0.999574,0.00009828904,0.00001668476,0.0001154882,0.0001554757,0.00003998396],"domain_scores_gemma":[0.9995235,0.0001290724,0.00004213151,0.0001516957,0.00011427,0.00003922725],"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":[0.00002048367,0.00001722728,0.00009738142,0.00007929076,0.00002023873,0.000037252,0.00007295633,0.001390526,0.001387965,0.8390452,0.06606973,0.09176187],"study_design_scores_gemma":[0.000007846234,0.00002274546,0.0005150728,0.0000274471,0.00001772153,0.0002493501,0.00002894403,0.007725459,0.001228202,0.8478267,0.1423319,0.00001862664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01042842,0.0105717,0.5132927,0.005230514,0.00242782,0.00004728456,0.0006522706,0.001771772,0.4555775],"genre_scores_gemma":[0.3286431,0.01430253,0.1069274,0.002174292,0.008347205,0.0002223438,0.001354689,0.002652932,0.5353756],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.02197946,"threshold_uncertainty_score":0.07352859,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04646536972489276,"score_gpt":0.3194521142883683,"score_spread":0.2729867445634756,"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."}}