{"id":"W54143233","doi":"","title":"MONOTONICITY OF RATIOS INVOLVING INCOMPLETE GAMMA FUNCTIONS WITH ACTUARIAL APPLICATIONS","year":2008,"lang":"en","type":"article","venue":"","topic":"Risk and Portfolio Optimization","field":"Decision Sciences","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University; York University","funders":"","keywords":"Monotonic function; Mathematics; Probabilistic logic; Mathematical economics; Gamma function; Calculus (dental); Applied mathematics; Conditional probability; Econometrics; Pure mathematics; Statistics; Mathematical analysis; Medicine","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009096592,0.001488085,0.001152806,0.002369138,0.0007919008,0.002683357,0.001540284,0.001214344,0.005891007],"category_scores_gemma":[0.04642998,0.0007284717,0.001414593,0.001763298,0.003677349,0.0070909,0.002388844,0.003575315,0.001093454],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001848753,"about_ca_system_score_gemma":0.0008931955,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008964592,"about_ca_topic_score_gemma":0.0004761978,"domain_scores_codex":[0.9957955,0.001978608,0.0002345923,0.0004762743,0.001158082,0.0003569019],"domain_scores_gemma":[0.9745871,0.02025862,0.001700039,0.0009923254,0.00185892,0.000602957],"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":[0.00006012397,0.00002818419,0.0004718521,0.0001351968,0.00002638643,0.0003101963,0.0001609151,0.01461449,0.002451587,0.9475082,0.001886194,0.03234667],"study_design_scores_gemma":[0.00001457991,0.00003616539,0.0006362924,0.0000609388,0.00002062513,0.0003853661,0.00004044052,0.1125886,0.001485713,0.8814241,0.003277126,0.00003006967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06277219,0.005213662,0.8666642,0.002335444,0.0003673719,0.00006923619,0.0002050865,0.0002146029,0.06215816],"genre_scores_gemma":[0.8470785,0.005857309,0.1326976,0.0008302219,0.001314949,0.0002527879,0.0002092895,0.0003064453,0.01145287],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009096592,"threshold_uncertainty_score":0.04810798,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08991675392504822,"score_gpt":0.3238771379795721,"score_spread":0.2339603840545239,"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."}}