{"id":"W2743750353","doi":"10.1002/cjs.11478","title":"The empirical identity process: Asymptotics and applications","year":2018,"lang":"en","type":"article","venue":"Canadian Journal of Statistics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Ministero dell’Istruzione, dell’Università e della Ricerca; Collegio Carlo Alberto","keywords":"Empirical distribution function; Quantile; Mathematics; Limit (mathematics); Asymptotic distribution; Brownian bridge; Applied mathematics; Function (biology); Sampling distribution; Identity (music); Unit interval; Distribution (mathematics); Brownian motion; Statistical physics; Statistics; Mathematical analysis; Estimator","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01560616,0.0006173556,0.001088437,0.002855869,0.001065196,0.001658204,0.002352386,0.001545082,0.003824818],"category_scores_gemma":[0.09789658,0.0004313411,0.001085735,0.001861433,0.005920129,0.00370306,0.004113332,0.003420376,0.000472567],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001627219,"about_ca_system_score_gemma":0.001550341,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003444902,"about_ca_topic_score_gemma":0.001406488,"domain_scores_codex":[0.9956174,0.00241763,0.0001484657,0.0005711776,0.001057977,0.0001873304],"domain_scores_gemma":[0.9528509,0.03585494,0.002817812,0.003749495,0.003775541,0.0009512106],"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":[0.00006798188,0.00009321239,0.006539755,0.0001070131,0.00005678267,0.00022271,0.0004278805,0.06040344,0.001053329,0.8891795,0.001280176,0.04056827],"study_design_scores_gemma":[0.00003108134,0.00009356912,0.002807167,0.00007687044,0.00002486647,0.0002312915,0.0001819075,0.6057293,0.001577904,0.3865715,0.002637517,0.00003704175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05386008,0.000611588,0.9386892,0.00081913,0.00007533131,0.00005413981,0.00004550681,0.0002570849,0.005587926],"genre_scores_gemma":[0.7981787,0.001142076,0.193886,0.0004661395,0.0003664616,0.000365035,0.0003178985,0.000225799,0.005051887],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01560616,"threshold_uncertainty_score":0.08253419,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09058983900890594,"score_gpt":0.3607673382073481,"score_spread":0.2701774991984422,"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."}}