{"id":"W3194506622","doi":"10.1080/17442508.2021.1960348","title":"Some mean convergence theorems for weighted sums of Banach space valued random elements","year":2021,"lang":"en","type":"article","venue":"Stochastics","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Banach space; Convergence (economics); Integrable system; Order (exchange); Pure mathematics; Space (punctuation); Weak convergence; Unconditional convergence; Eberlein–Šmulian theorem; Modes of convergence (annotated index); Mathematical analysis; Discrete mathematics; Compact convergence; Lp space; Rate of convergence; 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":[0.002871486,0.0001609408,0.0004750939,0.0001016785,0.0001592193,0.00006003084,0.0005973727,0.0001037944,0.0002338072],"category_scores_gemma":[0.003968622,0.0001177789,0.0002215134,0.0004786559,0.0002504976,0.0001851938,0.0001707178,0.0001148089,0.00004352132],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003161733,"about_ca_system_score_gemma":0.0002559704,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001126406,"about_ca_topic_score_gemma":0.00004223529,"domain_scores_codex":[0.9970283,0.0002030936,0.0008225973,0.0005068789,0.001105053,0.0003341121],"domain_scores_gemma":[0.9958923,0.00188607,0.0003124015,0.0007462901,0.00103161,0.0001313179],"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":[0.0008416881,0.0003071075,0.001555464,0.00006458112,0.000153761,0.000006578878,0.002648903,0.004334071,0.006559791,0.9739387,0.004561755,0.005027572],"study_design_scores_gemma":[0.002153171,0.0001048676,0.0001263156,0.00002215198,0.00004501544,0.000001027425,0.0005318193,0.1514379,0.01674669,0.8278905,0.0007802848,0.0001602291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1241132,0.0005659157,0.8726119,0.0005300986,0.001106156,0.0005354026,0.0002059417,0.00002559787,0.0003057539],"genre_scores_gemma":[0.9771662,0.00003172192,0.02120083,0.000125331,0.0001448802,0.00002547023,0.00001932894,0.0000146172,0.001271562],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8530531,"threshold_uncertainty_score":0.4802884,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08285926177932976,"score_gpt":0.362737553040193,"score_spread":0.2798782912608632,"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."}}