{"id":"W2007786637","doi":"10.1007/s00362-013-0551-9","title":"On the central limit theorem along subsequences of sums of i.i.d. random variables","year":2013,"lang":"en","type":"article","venue":"Statistical Papers","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of New Brunswick; Lakehead University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subsequence; Combinatorics; Sequence (biology); Random variable; Longest increasing subsequence; Central limit theorem; Physics; Mathematics; Mathematical analysis; Statistics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.05540955,0.002842013,0.004415237,0.006966285,0.002110664,0.0057301,0.006397041,0.003811449,0.007227062],"category_scores_gemma":[0.1183549,0.001409653,0.004564974,0.005315161,0.01121868,0.01370339,0.006230754,0.009900643,0.001648121],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003260843,"about_ca_system_score_gemma":0.00424894,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003814112,"about_ca_topic_score_gemma":0.002535308,"domain_scores_codex":[0.9880515,0.006489127,0.000608926,0.001641752,0.002461965,0.0007466433],"domain_scores_gemma":[0.8685931,0.1082967,0.00409222,0.005548989,0.01105548,0.002413533],"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":[0.0001017141,0.00004964992,0.0006074508,0.0002524607,0.0001330433,0.0002217954,0.0002444754,0.01245631,0.0005875751,0.9732747,0.002356483,0.009714264],"study_design_scores_gemma":[0.00005736939,0.00009915255,0.0006184336,0.0001693755,0.00008415683,0.0003212301,0.0000689413,0.1401966,0.0006979199,0.853609,0.004009763,0.00006805544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01624907,0.004612843,0.9644405,0.002309361,0.0008254194,0.00009102324,0.0002672288,0.0002312646,0.01097328],"genre_scores_gemma":[0.4989222,0.01993231,0.4289911,0.006339188,0.007432199,0.002196763,0.00186891,0.001665277,0.03265205],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.05540955,"threshold_uncertainty_score":0.2930372,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05820097930101838,"score_gpt":0.3150263281969482,"score_spread":0.2568253488959298,"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."}}