{"id":"W4411572852","doi":"10.1080/03610926.2025.2514712","title":"Multivariate measures of skewness and kurtosis for skew-elliptical distributions","year":2025,"lang":"en","type":"article","venue":"Communication in Statistics- Theory and Methods","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"National Natural Science Foundation of China","keywords":"Kurtosis; Skewness; Skew; Multivariate statistics; Statistics; Mathematics; Econometrics; Multivariate analysis; 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":[0.006811289,0.0009444557,0.0008626312,0.004611365,0.0007332577,0.002441947,0.000842864,0.000737965,0.004402252],"category_scores_gemma":[0.05114629,0.000282993,0.0008663764,0.004636084,0.002427676,0.006155929,0.001868122,0.001521286,0.001212436],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009416227,"about_ca_system_score_gemma":0.0009873192,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005847934,"about_ca_topic_score_gemma":0.0004591264,"domain_scores_codex":[0.9954135,0.001648327,0.0004744675,0.000591566,0.001588379,0.0002838734],"domain_scores_gemma":[0.9750098,0.01327439,0.004310205,0.002786927,0.004058112,0.00056068],"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":[0.0003701491,0.00009875572,0.04098848,0.000669964,0.00030181,0.0007185677,0.00112318,0.05348342,0.008550175,0.5990633,0.008999619,0.2856327],"study_design_scores_gemma":[0.00005055789,0.0002739932,0.04201015,0.0004447453,0.0001433738,0.003379464,0.001299218,0.2532787,0.005793228,0.6623951,0.03056513,0.0003663132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05470727,0.002925988,0.9291614,0.000575945,0.0002135898,0.000144115,0.0006519158,0.000536667,0.01108308],"genre_scores_gemma":[0.8006906,0.003672068,0.1903722,0.0003609075,0.0005843567,0.0004378082,0.001026735,0.0002614716,0.002593939],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.006811289,"threshold_uncertainty_score":0.03602201,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1406643103657022,"score_gpt":0.5172814127162937,"score_spread":0.3766171023505914,"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."}}