{"id":"W2063749878","doi":"10.1080/17442508.2014.883078","title":"Refinement of convergence rate for the strong law of large numbers in Banach space","year":2014,"lang":"en","type":"article","venue":"Stochastics","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Lakehead University","funders":"","keywords":"Banach space; Law of large numbers; Mathematics; Independent and identically distributed random variables; Sequence (biology); Rate of convergence; Convergence (economics); Space (punctuation); Random variable; Sequence space; Set (abstract data type); Discrete mathematics; Pure mathematics; Law; Statistics; Computer science; Economics; Political 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.03108117,0.002240542,0.002279783,0.003488982,0.001359981,0.00372268,0.00369079,0.002398879,0.007175427],"category_scores_gemma":[0.1015721,0.0008862646,0.00313876,0.00154345,0.006398089,0.01173391,0.006914043,0.008981795,0.001178412],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003168894,"about_ca_system_score_gemma":0.002521877,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002065837,"about_ca_topic_score_gemma":0.0008731393,"domain_scores_codex":[0.9912479,0.004341778,0.0005152478,0.001212119,0.002063885,0.000619058],"domain_scores_gemma":[0.9284374,0.0521847,0.003039095,0.004690311,0.009437611,0.002210812],"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":[0.0001930513,0.00004381913,0.001001937,0.0002906749,0.00006191569,0.0002204076,0.0003694372,0.01476242,0.003186551,0.967278,0.002071447,0.01052039],"study_design_scores_gemma":[0.00009128016,0.0002082815,0.001024063,0.0002055901,0.00006723392,0.0003673381,0.0001373307,0.322691,0.003731302,0.6632503,0.008138091,0.00008827549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04356596,0.003634034,0.9175628,0.00408867,0.0007932581,0.00016029,0.0002550025,0.0003171062,0.02962278],"genre_scores_gemma":[0.6631382,0.006765779,0.3014088,0.002494789,0.001828113,0.0009614042,0.0004206935,0.0006611132,0.02232122],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03108117,"threshold_uncertainty_score":0.1643749,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08832071740825634,"score_gpt":0.3870442365249659,"score_spread":0.2987235191167096,"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."}}