{"id":"W2231834299","doi":"10.1080/03461238.2015.1090476","title":"Ordering properties of the smallest and largest claim amounts in a general scale model","year":2015,"lang":"en","type":"article","venue":"Scandinavian Actuarial Journal","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Majorization; Mathematics; Weibull distribution; Stochastic ordering; Bernoulli's principle; Scale (ratio); Random variable; Exponential function; Applied mathematics; Matrix (chemical analysis); Combinatorics; Statistics; 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":[],"consensus_categories":[],"category_scores_codex":[0.0002881287,0.00008594699,0.0001513289,0.00004373922,0.0001212662,0.0000611932,0.0001381393,0.00005091832,0.0000250834],"category_scores_gemma":[0.00038748,0.0000567865,0.00003384556,0.00013033,0.0001154653,0.00007661394,0.00005332988,0.0001949433,0.000002459751],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008379266,"about_ca_system_score_gemma":0.0001217641,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000473152,"about_ca_topic_score_gemma":0.00009637027,"domain_scores_codex":[0.9991798,0.00005042358,0.0003121176,0.00009018365,0.0002149723,0.0001525001],"domain_scores_gemma":[0.9994804,0.00002949274,0.0001372517,0.0001157139,0.000110482,0.0001266864],"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":[0.0005526717,0.001040349,0.07353019,0.000213747,0.00009919015,0.00001295125,0.008697988,0.003382456,0.01956893,0.8718013,0.01234572,0.008754559],"study_design_scores_gemma":[0.006830484,0.0001281757,0.07656862,0.000703408,0.000124072,0.0004089205,0.001310491,0.2710784,0.005060263,0.6368898,0.0003347571,0.0005626435],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9464392,0.00002862374,0.05191921,0.0006521732,0.0001244098,0.0001727339,0.00003756927,0.0000095962,0.0006164971],"genre_scores_gemma":[0.9933254,0.000006464921,0.006399686,0.00004050114,0.00007689072,0.000009375502,0.00000190281,0.000008133972,0.0001316748],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2676959,"threshold_uncertainty_score":0.2315686,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1297771631410745,"score_gpt":0.3311579184466006,"score_spread":0.201380755305526,"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."}}