{"id":"W4235958181","doi":"10.1515/gmj.2003.799","title":"On Convergence of Series of Random Elements via Maximal Moment Relations with Applications to Martingale Convergence and to Convergence of Series with 𝑝-Orthogonal Summands. Correction","year":2003,"lang":"en","type":"article","venue":"Georgian Mathematical Journal","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Corollary; Mathematics; Martingale (probability theory); Convergence (economics); Applied mathematics; Series (stratigraphy); Function series; Taylor series; Pure mathematics; Mathematical analysis; Power series","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002297784,0.0001911479,0.0005429679,0.0002288649,0.0002249158,0.00004351874,0.0002931286,0.00006237246,0.001024926],"category_scores_gemma":[0.0007447141,0.0001247352,0.00007864207,0.0007599678,0.0004349636,0.0003815433,0.00006408549,0.0001912836,0.00003882479],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003455502,"about_ca_system_score_gemma":0.0001776242,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004675744,"about_ca_topic_score_gemma":0.00003498305,"domain_scores_codex":[0.9966417,0.0002052689,0.001313694,0.000344554,0.001223053,0.0002717388],"domain_scores_gemma":[0.997263,0.0005471216,0.0006838916,0.0003617083,0.0008319637,0.0003122848],"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":[0.01653592,0.003789603,0.4126382,0.0008423699,0.0007157809,0.00003032005,0.01797252,0.05677844,0.02475462,0.4501148,0.002588172,0.01323929],"study_design_scores_gemma":[0.006926188,0.0101784,0.05683539,0.001678125,0.0003937147,0.001463987,0.009364652,0.01234525,0.1378457,0.7585658,0.003010517,0.001392208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5301256,0.00001985662,0.4683678,0.0003539068,0.00007974409,0.0005906392,0.00002051764,0.000006422531,0.000435542],"genre_scores_gemma":[0.9608102,0.00001555215,0.0383042,0.00003330397,0.00001103284,0.00006492226,0.000001148776,0.00001032787,0.0007493509],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4306846,"threshold_uncertainty_score":0.9998883,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02970297478100088,"score_gpt":0.2968336361106113,"score_spread":0.2671306613296104,"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."}}