{"id":"W2124912911","doi":"10.1017/s0269964813000156","title":"ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS","year":2013,"lang":"en","type":"review","venue":"Probability in the Engineering and Informational Sciences","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":130,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"National Natural Science Foundation of China","keywords":"Majorization; Stochastic ordering; Statistics; Mathematics; Order statistic; Binomial (polynomial); Econometrics; Computer science; Applied mathematics; Combinatorics","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":[],"consensus_categories":[],"category_scores_codex":[0.0005364439,0.000177705,0.0004001685,0.00007022794,0.0001159421,0.00006454038,0.0002369905,0.00004559633,0.0000377141],"category_scores_gemma":[0.001062629,0.00009822822,0.00002232627,0.0004187672,0.0001233416,0.0002522983,0.00002846426,0.0001186334,0.000006660203],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006028614,"about_ca_system_score_gemma":0.0001488239,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001923796,"about_ca_topic_score_gemma":0.000005443544,"domain_scores_codex":[0.998578,0.00006355345,0.0006914697,0.0001560985,0.0003805301,0.0001303327],"domain_scores_gemma":[0.9990493,0.000363505,0.0002369826,0.0001696844,0.0001395328,0.00004098258],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000003270785,0.0001949364,0.000003591087,0.02260565,0.00003723851,2.051392e-7,0.00043422,0.005042411,1.563401e-7,0.4486431,0.0001170153,0.5229182],"study_design_scores_gemma":[0.0008256393,0.0007050431,0.0003437184,0.1115701,0.0008787241,0.0001041998,0.0003254362,0.2483995,0.00001514734,0.2732174,0.3611257,0.002489465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"review","genre_gemma":"review","genre_scores_codex":[0.001977395,0.9745272,0.0180143,0.0003215408,0.00007783256,0.003898213,0.0009803541,0.00008612805,0.0001170883],"genre_scores_gemma":[0.0004187574,0.9216082,0.07663304,0.00009461711,0.00001269802,0.0008566672,0.000363524,0.000009723581,0.000002755503],"genre_candidate":"review","genre_consensus":"review","teacher_disagreement_score":0.5204287,"threshold_uncertainty_score":0.4005631,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2401877925830492,"score_gpt":0.3816361365044605,"score_spread":0.1414483439214113,"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."}}