{"id":"W3023234474","doi":"10.1017/s0266466611000697","title":"A NECESSARY MOMENT CONDITION FOR THE FRACTIONAL FUNCTIONAL CENTRAL LIMIT THEOREM","year":2011,"lang":"en","type":"preprint","venue":"Econometric Theory","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"Social Sciences and Humanities Research Council of Canada; Danmarks Grundforskningsfond; National Research Foundation","keywords":"Corollary; Moment (physics); Mathematics; Limit (mathematics); Central limit theorem; Sequence (biology); Mathematical analysis; Mathematical physics; Combinatorics; Physics; Quantum mechanics; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001222008,0.0003852188,0.0005985615,0.0007126217,0.0004807216,0.0001574925,0.0007010619,0.0003735504,0.003190152],"category_scores_gemma":[0.000385872,0.000369239,0.0005035783,0.0005604682,0.0002095252,0.0001890422,0.0003282898,0.000584099,0.0006235944],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003552712,"about_ca_system_score_gemma":0.0001574904,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008519534,"about_ca_topic_score_gemma":0.000006121618,"domain_scores_codex":[0.9975057,0.00001320258,0.000967707,0.0009223593,0.0000638998,0.0005271843],"domain_scores_gemma":[0.996823,0.001122229,0.001085534,0.0007251909,0.0001081553,0.000135849],"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":[0.000116969,0.0001911464,0.0002583916,0.00007162688,0.0002958587,3.267473e-7,0.0002145448,0.0009327407,2.718229e-7,0.9908392,0.002114267,0.004964686],"study_design_scores_gemma":[0.0004533692,0.00005451563,0.02567552,0.00001594199,0.0000641235,0.000004575421,0.0001211063,0.002189095,0.000007988599,0.9122916,0.05871049,0.0004117152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001282683,0.01184875,0.9586571,0.0009567071,0.003336152,0.001316552,0.002880331,0.00008121431,0.01964051],"genre_scores_gemma":[0.9881518,0.0008333725,0.001591721,0.0007341525,0.002297148,0.003575632,0.0008619814,0.00009122756,0.001862982],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9868691,"threshold_uncertainty_score":0.999876,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05200431272509661,"score_gpt":0.2313512455771245,"score_spread":0.1793469328520279,"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."}}