{"id":"W2068430062","doi":"10.1007/s00184-013-0453-9","title":"$$L$$ L -statistics from multivariate unified skew-elliptical distributions","year":2013,"lang":"en","type":"article","venue":"Metrika","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Skew; Elliptical distribution; Multivariate statistics; Order statistic; Statistics; L-moment; Distribution (mathematics); Skew normal distribution; Applied mathematics; Multivariate normal distribution; Skewness; Mathematical analysis","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0001353495,0.00018822,0.0002591602,0.00007702361,0.0002311925,0.0001224598,0.0002223228,0.0001172852,0.009147404],"category_scores_gemma":[0.004096719,0.0001720165,0.00006738825,0.0005449436,0.0001425388,0.0001097142,0.00006250634,0.0002128961,0.004120476],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009725507,"about_ca_system_score_gemma":0.00004450729,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003462879,"about_ca_topic_score_gemma":0.00001133115,"domain_scores_codex":[0.9984786,0.00008824779,0.0004956661,0.0003037832,0.0003111629,0.0003225514],"domain_scores_gemma":[0.9964445,0.002405924,0.0001215089,0.0004378026,0.0003164567,0.0002738535],"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":[0.000002858204,0.0002164354,0.00008337491,0.000008262834,0.00003009758,0.000001517019,0.00002825057,0.000001240855,0.0006072483,0.9427893,0.05204309,0.004188308],"study_design_scores_gemma":[0.0005445194,0.00002112056,0.03547325,0.00001272196,0.00008801482,0.0000016569,0.00004765991,0.01900779,0.0009915946,0.9330326,0.01051616,0.0002628622],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.007337663,0.00001537385,0.9821731,0.0009789999,0.0001220886,0.0004373529,0.005559134,0.000227028,0.003149226],"genre_scores_gemma":[0.6011285,0.00000473947,0.3958684,0.0001268076,0.00009009488,0.0001880099,0.0016556,0.00002271268,0.0009151028],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5937908,"threshold_uncertainty_score":0.9966549,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08106762915572019,"score_gpt":0.3610444721739641,"score_spread":0.2799768430182439,"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."}}