{"id":"W4405106991","doi":"10.1016/j.jmva.2024.105398","title":"Asymptotics for non-degenerate multivariate U-statistics with estimated nuisance parameters under the null and local alternative hypotheses","year":2024,"lang":"en","type":"article","venue":"Journal of Multivariate Analysis","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; McGill University; Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Multivariate statistics; Scalable Vector Graphics; Degenerate energy levels; Statistics; Computer science; Physics; World Wide Web","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":[],"consensus_categories":[],"category_scores_codex":[0.001289823,0.0003126751,0.000781339,0.0003078318,0.0001675987,0.0002866302,0.0002667028,0.00009223633,0.00003774307],"category_scores_gemma":[0.001616932,0.0001691099,0.0002243061,0.0007392833,0.0002957177,0.0001503662,0.00005039429,0.0003708897,0.000002625969],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008756715,"about_ca_system_score_gemma":0.0001257023,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001834601,"about_ca_topic_score_gemma":0.00005768344,"domain_scores_codex":[0.9978263,0.0002853524,0.000808843,0.0003140996,0.0004367687,0.0003286663],"domain_scores_gemma":[0.9882984,0.01010459,0.000549881,0.0002493435,0.0006335492,0.0001643049],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00179068,0.0007669947,0.001968786,0.0008019133,0.03789105,0.000454938,0.006238544,0.1494108,0.005035764,0.7178029,0.001157862,0.07667982],"study_design_scores_gemma":[0.0008026551,0.0003546506,0.003228857,0.000236757,0.004997838,0.00002383871,0.0004120448,0.8430664,0.001333199,0.1452449,0.00005462325,0.0002442097],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05815829,0.0001493094,0.9407034,0.0003014148,0.0001817321,0.0002278916,0.0002205157,0.00001930772,0.00003812707],"genre_scores_gemma":[0.4743004,0.00005388619,0.5254062,0.00006753211,0.00006429277,0.000009109236,0.000003121842,0.00002828784,0.00006719433],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.6936556,"threshold_uncertainty_score":0.68961,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.095883643533512,"score_gpt":0.3901817624646984,"score_spread":0.2942981189311864,"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."}}