{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004231484,0.0001048702,0.0001756801,0.00006817588,0.0005288006,0.0001660705,0.0002793107,0.0000570794,0.00004801681],"category_scores_gemma":[0.003575747,0.00007500907,0.0000221631,0.0001876343,0.0004082139,0.00009655634,0.00001526147,0.0002087129,0.00001260858],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006026002,"about_ca_system_score_gemma":0.000949661,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004616713,"about_ca_topic_score_gemma":0.007866127,"domain_scores_codex":[0.998925,0.00002613477,0.0004272597,0.00009757427,0.0002453666,0.0002786551],"domain_scores_gemma":[0.997018,0.001079531,0.0002452227,0.0001447371,0.0009789942,0.0005334845],"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":[0.000005704648,0.00001061847,0.0002322054,0.00005340729,0.00003135797,0.00001780666,0.0004563583,5.142721e-7,0.000001470478,0.9774535,0.01029674,0.01144032],"study_design_scores_gemma":[0.0001564469,0.0001876045,0.0003738871,0.00003083246,0.0000835461,0.0001586444,0.0004557981,0.001000591,0.000012757,0.9833589,0.01408523,0.00009577128],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001485954,0.000252688,0.996743,0.0003779531,0.0002446958,0.0001261998,0.0002057832,0.000005266588,0.000558489],"genre_scores_gemma":[0.8029645,0.0001245199,0.1948762,0.0005080811,0.001187667,0.0000157026,0.000003999437,0.00005193375,0.0002673381],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8018667,"threshold_uncertainty_score":0.4389484,"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."}}