{"id":"W2057396628","doi":"10.1007/s00362-012-0430-9","title":"On the exact joint distribution of a linear combination of order statistics and their concomitants in an exchangeable multivariate normal distribution","year":2012,"lang":"en","type":"article","venue":"Statistical Papers","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Centre de Recherches Mathématiques","keywords":"Multivariate statistics; Mathematics; Statistics; Joint probability distribution; Multivariate normal distribution; Skew normal distribution; Order statistic; Distribution (mathematics); Joint (building); Multivariate analysis; Normal distribution; Applied mathematics; Mathematical analysis; Engineering","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006317375,0.0001765126,0.0003112836,0.00003402481,0.0001238621,0.00001403443,0.00009131408,0.00008812514,0.0003454552],"category_scores_gemma":[0.00420336,0.0001260701,0.00002557024,0.0002696649,0.0003434104,0.0001124833,0.0000365795,0.0001833965,0.00000787542],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009042898,"about_ca_system_score_gemma":0.00004009112,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006523127,"about_ca_topic_score_gemma":0.00002094863,"domain_scores_codex":[0.9984246,0.0002506769,0.0005921213,0.0001802572,0.0002593227,0.0002929447],"domain_scores_gemma":[0.996251,0.0028819,0.0002468991,0.0002283447,0.0002443442,0.000147459],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.00006528319,0.0006301582,0.0006890333,0.00008172713,0.00001524204,3.896904e-7,0.0003294751,0.00001457694,0.001036898,0.9944898,0.0005423918,0.002104968],"study_design_scores_gemma":[0.00245997,0.000542543,0.5400149,0.0001637105,0.0001069733,0.000005541692,0.001692786,0.1054791,0.003159233,0.3456665,0.0002481162,0.0004606768],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1531519,0.000009048371,0.8294778,0.0001771486,0.00004683278,0.000429072,0.0163793,0.00002124068,0.000307622],"genre_scores_gemma":[0.9890321,0.000007133408,0.008170241,0.00003767063,0.00001507901,0.00005440313,0.002657122,0.00001336561,0.00001280751],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8358803,"threshold_uncertainty_score":0.5140988,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06476238031241036,"score_gpt":0.340057786652715,"score_spread":0.2752954063403047,"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."}}