{"id":"W3004338600","doi":"10.48550/arxiv.1904.02264","title":"Some Results on the Additivity and Multiplication Order Preserving Properties of Stochastic Orders","year":2019,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Algebra and Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Additive function; Stochastic ordering; Multiplicative function; Convolution (computer science); Laplace transform; Moment (physics); Independent and identically distributed random variables; Multiplication (music); Applied mathematics; Order (exchange); Random variable; Constant (computer programming); Additive model; Combinatorics; Statistics; Mathematical analysis; Computer science","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":[0.0002051499,0.0001921383,0.0002046426,0.0001019352,0.0001235803,0.00004392891,0.001032015,0.0001226354,0.000002601845],"category_scores_gemma":[0.0002610177,0.0001459701,0.00005518317,0.0002661186,0.0001512875,0.0003389575,0.001499713,0.0003459754,0.00001456116],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004804916,"about_ca_system_score_gemma":0.00009309201,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007886311,"about_ca_topic_score_gemma":0.00001393473,"domain_scores_codex":[0.998735,0.0001303397,0.0001457613,0.0007154024,0.0000875475,0.0001859719],"domain_scores_gemma":[0.9981277,0.0002848034,0.0002714186,0.001111561,0.000157797,0.00004674364],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001444325,0.0001107681,0.00009485927,0.0001775365,0.00005629552,0.000007482394,0.00066575,0.7212511,0.0005504183,0.2762616,0.0001072373,0.0005725823],"study_design_scores_gemma":[0.000581468,0.00009955851,0.001931562,0.0002614353,0.0000287827,0.00000108424,0.0001341865,0.9338128,0.0007358643,0.06202678,0.00005038417,0.0003360798],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6009428,0.0001013568,0.3972418,0.0004417384,0.0001852976,0.0006108832,0.00002287089,0.00009168575,0.0003615388],"genre_scores_gemma":[0.9990699,0.0000419155,0.0003348155,0.00007637756,0.00003084534,0.000002310207,0.000005010495,0.000008235661,0.0004305986],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3981271,"threshold_uncertainty_score":0.5952487,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08274052207055149,"score_gpt":0.1854359903500876,"score_spread":0.1026954682795362,"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."}}