{"id":"W2045326640","doi":"10.1007/s10114-005-0823-y","title":"A Supplement to the Baum-Katz-Spitzer Complete Convergence Theorem","year":2006,"lang":"en","type":"article","venue":"Acta Mathematica Sinica English Series","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"Lakehead University","funders":"","keywords":"Combinatorics; Conjecture; Banach space; Mathematics; Sequence (biology); Discrete mathematics","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":["insufficient_payload"],"category_scores_codex":[0.005013815,0.0003283443,0.0006029184,0.0001131066,0.0005312557,0.0006686819,0.002376868,0.0001080587,0.003003106],"category_scores_gemma":[0.006060832,0.0001801652,0.0002553286,0.000776129,0.0005586746,0.0007974404,0.000658996,0.0002423539,0.0008411566],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004655045,"about_ca_system_score_gemma":0.0001056308,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004832021,"about_ca_topic_score_gemma":0.0003226814,"domain_scores_codex":[0.9951344,0.0004172342,0.001408833,0.0007656662,0.001663576,0.0006103031],"domain_scores_gemma":[0.9933425,0.003241113,0.0003263046,0.002219286,0.0006906935,0.0001800916],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001022155,0.0002971712,0.0003778005,0.00003290153,0.00003930744,0.000005453789,0.0112043,0.0002098894,0.0004756375,0.6770111,0.3095834,0.0006608493],"study_design_scores_gemma":[0.0002129805,0.0001191263,0.001014199,0.00003070288,0.00002400429,0.000009405387,0.003013692,0.0005993831,0.0007917452,0.4951478,0.4987648,0.0002721928],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6586511,0.0004688537,0.03836663,0.1589602,0.004526468,0.005399732,0.00108511,0.0009633321,0.1315786],"genre_scores_gemma":[0.9844158,0.00001527092,0.01064183,0.0008700076,0.0003409247,0.0001329071,0.0000121718,0.00002705041,0.003544014],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3257647,"threshold_uncertainty_score":0.9999368,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07255031910428676,"score_gpt":0.3284275018190014,"score_spread":0.2558771827147147,"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."}}