{"id":"W2013216712","doi":"10.1016/j.jmva.2009.12.012","title":"Distributions of order statistics and linear combinations of order statistics from an elliptical distribution as mixtures of unified skew-elliptical distributions","year":2010,"lang":"en","type":"article","venue":"Journal of Multivariate Analysis","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Order statistic; Skew; L-moment; Elliptical distribution; Statistics; Distribution (mathematics); Order (exchange); Inverse distribution; Moment (physics); Mathematical analysis; Statistical physics; Heavy-tailed distribution; Multivariate statistics; Classical mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000677484,0.0002855212,0.001043553,0.0002645156,0.0002134013,0.00004171196,0.0003311197,0.0002668322,0.0006968519],"category_scores_gemma":[0.01005512,0.0002545072,0.0002296147,0.001651809,0.0007820682,0.0001923186,0.00007813537,0.0005833135,0.000004937776],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000642164,"about_ca_system_score_gemma":0.0003248771,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000420829,"about_ca_topic_score_gemma":0.0001804837,"domain_scores_codex":[0.9962748,0.0002657413,0.002136923,0.0002878977,0.0007536803,0.0002809676],"domain_scores_gemma":[0.9895616,0.003214415,0.001661566,0.0005230966,0.004660896,0.0003784515],"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":[0.00009456709,0.002922663,0.001310335,0.0000622129,0.001170269,0.000004568083,0.0001688558,0.000258459,0.0080243,0.9846644,0.0006679231,0.0006514678],"study_design_scores_gemma":[0.003928887,0.0005849496,0.1133207,0.00009779805,0.01187649,0.00002309737,0.0004007903,0.2392841,0.01148307,0.6175519,0.0008425129,0.0006057979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1274312,0.00001799208,0.816452,0.000336212,0.00007808842,0.0001786661,0.05545769,0.00001439515,0.00003380825],"genre_scores_gemma":[0.7253057,0.00004017131,0.2685641,0.000007911175,0.0000454474,0.000006617205,0.005992743,0.00001475156,0.00002263516],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5978745,"threshold_uncertainty_score":0.9999907,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02645288166889894,"score_gpt":0.369770702122281,"score_spread":0.343317820453382,"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."}}