{"id":"W4406853036","doi":"10.1016/j.insmatheco.2025.01.006","title":"Bowley-optimal convex-loaded premium principles","year":2025,"lang":"en","type":"article","venue":"Insurance Mathematics and Economics","topic":"Risk and Portfolio Optimization","field":"Decision Sciences","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Society of Actuaries","keywords":"Regular polygon; Mathematics; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009429404,0.0001435688,0.0003556073,0.0001658656,0.0001506041,0.0003503685,0.0003384355,0.00009505035,0.00005270085],"category_scores_gemma":[0.0004241164,0.0001181722,0.00006845189,0.0001981482,0.0001023193,0.0002517658,0.0001155059,0.00008543876,0.00008235466],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002334024,"about_ca_system_score_gemma":0.0000693414,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005898564,"about_ca_topic_score_gemma":0.00001010296,"domain_scores_codex":[0.9985934,0.00001897908,0.0007512737,0.0003228759,0.0001235244,0.000189909],"domain_scores_gemma":[0.998652,0.000424808,0.0002906305,0.0004505777,0.000114104,0.0000679076],"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":[0.00008154077,0.0003736329,0.1451738,0.0001286856,0.000164009,0.000005859128,0.004936531,0.08113284,0.0002665834,0.6431959,0.007245791,0.1172948],"study_design_scores_gemma":[0.001209876,0.0000598566,0.03347075,0.0001008575,0.00003467909,0.00002259428,0.001475601,0.5584852,0.00318527,0.2251761,0.176201,0.0005782296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9408752,0.0002811045,0.02064817,0.000472141,0.0004004098,0.0001981134,0.00002817072,0.00003361248,0.03706308],"genre_scores_gemma":[0.9717034,0.001414474,0.02157119,0.0002213638,0.00004946188,0.00001741111,0.000003989477,0.00001198758,0.005006765],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4773524,"threshold_uncertainty_score":0.4818923,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05839372610501883,"score_gpt":0.3167832866505997,"score_spread":0.2583895605455809,"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."}}