{"id":"W2396786966","doi":"10.1080/02331888.2016.1142545","title":"Ordering results for the smallest and largest order statistics from independent heterogeneous exponential–Weibull random variables","year":2016,"lang":"en","type":"article","venue":"Statistics","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Majorization; Mathematics; Stochastic ordering; Order statistic; Statistics; Random variable; Weibull distribution; Combinatorics; Order (exchange); Exponential function; Independent and identically distributed random variables; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0113568,0.001200608,0.00127674,0.00313462,0.001077,0.002395943,0.001716926,0.0009404393,0.004652113],"category_scores_gemma":[0.05414695,0.0005721781,0.001725908,0.002156842,0.003810396,0.006166867,0.002033514,0.003347584,0.0005113878],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002212953,"about_ca_system_score_gemma":0.002011197,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002040402,"about_ca_topic_score_gemma":0.002014834,"domain_scores_codex":[0.994535,0.001786912,0.0003892551,0.0009197232,0.001819319,0.0005499138],"domain_scores_gemma":[0.9221066,0.05970828,0.005195612,0.00467248,0.006543315,0.001773617],"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":[0.0001644589,0.00007527853,0.005981574,0.0002867314,0.00007256227,0.0003906475,0.0003839793,0.05398093,0.00409513,0.9142227,0.001491396,0.01885458],"study_design_scores_gemma":[0.00003017926,0.0001455319,0.005107041,0.00008354827,0.00007408287,0.0003542526,0.0002276295,0.2457407,0.004048576,0.7397868,0.004293998,0.0001075737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06417112,0.001270176,0.9205824,0.000596752,0.0001271506,0.00008647871,0.0003897223,0.0001515726,0.01262475],"genre_scores_gemma":[0.8198551,0.003119624,0.1664298,0.0006268715,0.0009320048,0.0002623983,0.001471805,0.0004018724,0.006900669],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0113568,"threshold_uncertainty_score":0.06006122,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05050296977019494,"score_gpt":0.3204117850676629,"score_spread":0.2699088152974679,"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."}}