{"id":"W4417290000","doi":"10.1016/j.econlet.2025.112785","title":"Mean bounds and existence: Calibration approach via inverse hazard rates","year":2025,"lang":"en","type":"article","venue":"Economics Letters","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Social Sciences and Humanities Research Council of Canada","keywords":"Calibration; Survival function; Inverse; Function (biology); Upper and lower bounds; Divergence (linguistics); Pareto principle; Beta distribution","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":[0.02082314,0.001793083,0.002307837,0.004077338,0.001258418,0.003961004,0.003269501,0.002855703,0.007012699],"category_scores_gemma":[0.1125031,0.00114781,0.002457307,0.002574932,0.00603263,0.01013006,0.006125329,0.01083572,0.0008839546],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004086146,"about_ca_system_score_gemma":0.002157961,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001051383,"about_ca_topic_score_gemma":0.0005559238,"domain_scores_codex":[0.991859,0.004315631,0.000217417,0.001439125,0.001590814,0.000578045],"domain_scores_gemma":[0.9295098,0.05590265,0.004308768,0.004763573,0.004383601,0.001131635],"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":[0.00004237318,0.00003598717,0.0009246287,0.0001218565,0.00004715979,0.00007767323,0.0003322278,0.05495567,0.0007139102,0.9241837,0.001174975,0.01738984],"study_design_scores_gemma":[0.00001916005,0.00006333768,0.0006619276,0.0001439121,0.00003937653,0.0001604121,0.00008021261,0.2103066,0.001117717,0.7832723,0.004071016,0.00006398443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.00840988,0.001172559,0.9816037,0.00100569,0.00007127968,0.00003236043,0.00004893666,0.0001246512,0.007530922],"genre_scores_gemma":[0.7332435,0.005504418,0.2470449,0.00121829,0.001037983,0.0005883754,0.0002709475,0.0004934098,0.01059815],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02082314,"threshold_uncertainty_score":0.1101246,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04081665976692193,"score_gpt":0.3063010253924227,"score_spread":0.2654843656255007,"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."}}