{"id":"W3033864497","doi":"10.1007/s13398-020-00875-7","title":"Statistical probability convergence via the deferred Nörlund mean and its applications to approximation theorems","year":2020,"lang":"es","type":"article","venue":"Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sequence (biology); Convergence of random variables; Random variable; Banach space; Convergence (economics); Weak convergence; Algebraic number; Central limit theorem; Discrete mathematics; Applied mathematics; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003991468,0.0007299121,0.0009172952,0.0001050112,0.0007657144,0.0008542845,0.001209007,0.001062531,0.0001990801],"category_scores_gemma":[0.004597757,0.0005576874,0.0001811154,0.001190718,0.001195092,0.0006514968,0.0004783993,0.002281903,0.0001642794],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005224521,"about_ca_system_score_gemma":0.0004227891,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001799188,"about_ca_topic_score_gemma":0.000002503578,"domain_scores_codex":[0.9936172,0.00204166,0.0012671,0.00117603,0.0008412428,0.001056734],"domain_scores_gemma":[0.9926714,0.004548748,0.0006759078,0.0007140467,0.000338863,0.001051061],"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":[0.0002442928,0.0001152078,0.0004754941,0.002357623,0.00009452063,0.00002275539,0.008453659,0.00004369446,0.01395994,0.9711954,0.0004284343,0.002608955],"study_design_scores_gemma":[0.001616362,0.0008292167,0.00805182,0.001325628,0.001885112,0.001101375,0.007122133,0.1408897,0.01891349,0.7777129,0.03733593,0.003216408],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8645455,0.002614879,0.1100097,0.0126859,0.00005329354,0.00595168,0.0005765723,0.0004962136,0.00306627],"genre_scores_gemma":[0.9814258,0.001583677,0.01442284,0.001534289,0.0002762652,0.0005437843,0.00005954221,0.0000869135,0.00006692468],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1934826,"threshold_uncertainty_score":0.9996874,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03437271002769627,"score_gpt":0.3254492718223546,"score_spread":0.2910765617946584,"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."}}