{"id":"W2025551811","doi":"10.1007/s11222-005-1312-y","title":"Expected sample moments of concomitants of selected order statistics","year":2005,"lang":"en","type":"article","venue":"Statistics and Computing","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Kurtosis; Mathematics; Skewness; Statistics; Order statistic; Sample (material); Applied mathematics; Multinomial distribution; Cumulant; Sample size determination; Order (exchange); Moment (physics); Statistical physics","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":[],"consensus_categories":[],"category_scores_codex":[0.0001242576,0.0001189714,0.0002871567,0.000051004,0.00009290914,0.00001454059,0.00008379006,0.00004085083,0.0001727875],"category_scores_gemma":[0.00204845,0.0001207992,0.0000128784,0.0003058692,0.0001308,0.00002407761,0.00004753971,0.0000794615,0.000003513348],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002397595,"about_ca_system_score_gemma":0.00005456775,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003440344,"about_ca_topic_score_gemma":0.00001616866,"domain_scores_codex":[0.9987981,0.00004412494,0.0006085809,0.0001569583,0.0002181848,0.0001740067],"domain_scores_gemma":[0.9968371,0.001907691,0.000336822,0.0001422645,0.0006961465,0.00007994825],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001004784,0.0001593674,0.0007196718,0.0001022905,0.00003903626,4.917313e-7,0.0003134588,0.0000449965,0.0004155714,0.9690714,0.003718548,0.02540512],"study_design_scores_gemma":[0.001943134,0.0001786743,0.03816959,0.0001224389,0.0001561064,0.000007758244,0.0003908361,0.5876545,0.002732173,0.3674188,0.0008006351,0.0004253809],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03728352,0.00001767685,0.9561006,0.00003475216,0.00002567438,0.0001591909,0.006127094,0.00003165648,0.0002198434],"genre_scores_gemma":[0.5214016,0.000006379787,0.4783608,0.00001312879,0.00001243549,0.000002357679,0.0001737057,0.00000801221,0.00002153184],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6016526,"threshold_uncertainty_score":0.4926046,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03892048418709982,"score_gpt":0.3524955317711179,"score_spread":0.3135750475840181,"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."}}