{"id":"W2782335862","doi":"10.1080/07362990500397319","title":"On Complete Convergence in Mean of Normed Sums of Independent Random Elements in Banach Spaces","year":2006,"lang":"en","type":"article","venue":"Stochastic Analysis and Applications","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Banach space; Separable space; Sequence (biology); Order (exchange); Type (biology); Combinatorics; Convergence (economics); Random variable; Weak convergence; Characterization (materials science); Discrete mathematics; Mathematical analysis; Statistics","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":[0.001374402,0.00008641345,0.0004534777,0.0006122093,0.00004795421,0.00001771923,0.000276631,0.00004061,0.00008152847],"category_scores_gemma":[0.0001228506,0.00006453187,0.000104047,0.001986271,0.0001682585,0.00005491276,0.00005143755,0.00007240185,0.000005387622],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002078604,"about_ca_system_score_gemma":0.0000307529,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002031443,"about_ca_topic_score_gemma":0.01272336,"domain_scores_codex":[0.9979894,0.00008660497,0.0008844389,0.0003391565,0.0005715488,0.0001288227],"domain_scores_gemma":[0.9983793,0.0007629106,0.0003247026,0.0003678736,0.0001272407,0.00003791155],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"observational","study_design_scores_codex":[0.0001846319,0.0007522357,0.3916043,0.00002079452,0.0001598049,4.80838e-7,0.0007707026,0.4393258,0.001882139,0.1608444,0.00004191084,0.004412725],"study_design_scores_gemma":[0.001954838,0.00005984697,0.410614,0.00002399942,0.0002060591,2.288845e-7,0.0008587459,0.3020266,0.0002777045,0.2837506,0.00004544884,0.0001819888],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5768157,0.00006051397,0.4225419,0.00007080763,0.000004919603,0.0002542884,0.00004800504,0.000002027409,0.0002019475],"genre_scores_gemma":[0.9994431,0.000007998269,0.0003984716,0.0000087463,0.000005650426,0.0000699954,0.00001592375,0.000002123286,0.00004799616],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4226274,"threshold_uncertainty_score":0.7099931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04050503091258376,"score_gpt":0.3325046058471031,"score_spread":0.2919995749345193,"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."}}