{"id":"W4372301549","doi":"10.1007/s10959-023-01242-z","title":"Generalized Unimodality and Subordinators, With Applications to Stable Laws and to the Mittag-Leffler Function","year":2023,"lang":"en","type":"article","venue":"Journal of Theoretical Probability","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Monotonic function; Class (philosophy); Unimodality; Pure mathematics; Operator (biology); Interpretation (philosophy); Real line; Infinite divisibility; Distribution (mathematics); Function (biology); Subordinator; Property (philosophy); Lévy process; Combinatorics; Mathematical analysis; Applied mathematics","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":[0.003333298,0.001521219,0.001710741,0.003764663,0.001251878,0.003939413,0.001165527,0.001666024,0.005017021],"category_scores_gemma":[0.01525631,0.0007363099,0.001577358,0.002853621,0.005122358,0.00599146,0.002288818,0.003089172,0.0006720236],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001304314,"about_ca_system_score_gemma":0.001013556,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001252305,"about_ca_topic_score_gemma":0.001048146,"domain_scores_codex":[0.9990836,0.0004600998,0.00006718432,0.0001481899,0.0001425746,0.00009833671],"domain_scores_gemma":[0.9919358,0.005517951,0.000731502,0.0004208193,0.0007919779,0.0006018864],"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":[0.00001291011,0.00001498431,0.0001183639,0.00003901181,0.0000106076,0.00006856882,0.000195484,0.003266874,0.0003920032,0.9902967,0.0005444065,0.005040078],"study_design_scores_gemma":[0.000007171204,0.00001156971,0.0001123423,0.00001192494,0.000007349068,0.00006384046,0.00004861912,0.03942558,0.0001356174,0.9591893,0.0009698791,0.00001692979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09884192,0.007654768,0.853403,0.002592184,0.0005970225,0.00007237702,0.0001510048,0.0002885067,0.0363993],"genre_scores_gemma":[0.8534902,0.0090828,0.1051328,0.0009072233,0.002388941,0.0001983268,0.000174909,0.0002984638,0.02832619],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005017021,"threshold_uncertainty_score":0.01762837,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02058661516716608,"score_gpt":0.2357445284176722,"score_spread":0.2151579132505061,"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."}}