{"id":"W2063373005","doi":"10.1006/jmva.2000.1945","title":"U-Statistics for Change under Alternatives","year":2001,"lang":"en","type":"article","venue":"Journal of Multivariate Analysis","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Estimator; Statistics; Random walk; Degenerate energy levels; Asymptotic distribution; Antisymmetric relation; Distribution (mathematics); Statistical hypothesis testing; U-statistic; Applied mathematics; Mathematical analysis; Minimum-variance unbiased estimator","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":[],"consensus_categories":[],"category_scores_codex":[0.0009431728,0.0001308863,0.0005612884,0.0003450057,0.00006493926,0.00004145894,0.000192838,0.00005530637,0.0003091057],"category_scores_gemma":[0.002700537,0.00009467218,0.0003015672,0.0004877038,0.00003876874,0.0001089403,0.00002410332,0.0001352049,0.000002879245],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004353385,"about_ca_system_score_gemma":0.00002569374,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005387028,"about_ca_topic_score_gemma":0.00002675805,"domain_scores_codex":[0.9986011,0.0001525917,0.0006304606,0.0001235358,0.0002951937,0.000197137],"domain_scores_gemma":[0.9954943,0.002952212,0.000668866,0.0001526326,0.0006120051,0.0001199844],"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":[0.0003629508,0.0006731651,0.005822242,0.0000860866,0.007772139,0.00009780833,0.001700967,0.0002697744,0.001334309,0.9052704,0.00127796,0.0753322],"study_design_scores_gemma":[0.001326584,0.0003241362,0.03950188,0.00004822389,0.004635585,0.0000225479,0.0002918575,0.06344464,0.0002052049,0.8879842,0.001964385,0.0002507232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0173746,0.00004865767,0.9816883,0.0003429905,0.0001372182,0.000100783,0.00007192983,0.000007293179,0.000228222],"genre_scores_gemma":[0.2637011,0.00009229765,0.7355098,0.0001331325,0.0002839501,0.000006905935,0.000002823273,0.00001341018,0.0002566126],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2463265,"threshold_uncertainty_score":0.3860619,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2435184740716437,"score_gpt":0.4681401758638256,"score_spread":0.2246217017921819,"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."}}