{"id":"W2025359816","doi":"10.1239/jap/1011994181","title":"Distribution of the scan statistic for a sequence of bistate trials","year":2001,"lang":"en","type":"article","venue":"Journal of Applied Probability","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Bernoulli trial; Scan statistic; Sequence (biology); Statistic; Bernoulli distribution; Markov chain; Mathematics; Bernoulli's principle; Distribution (mathematics); Applied mathematics; Algorithm; Statistics; Random variable; Mathematical analysis; Physics","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.006115929,0.00009846902,0.0006710051,0.00002093992,0.00004119572,0.000009080877,0.0002288868,0.00005088646,0.00005448814],"category_scores_gemma":[0.01598318,0.00005667554,0.0001839802,0.0001814849,0.000243629,0.00003052486,0.00003038161,0.0001370433,1.810679e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008385471,"about_ca_system_score_gemma":0.0002036648,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007976258,"about_ca_topic_score_gemma":0.000004706677,"domain_scores_codex":[0.9977175,0.0002658603,0.001463215,0.0001049806,0.0003085034,0.0001399425],"domain_scores_gemma":[0.9921694,0.0052212,0.00174268,0.0002527074,0.000556414,0.00005754044],"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":[0.001419111,0.0003887809,0.0007875083,0.0008455319,0.0000862458,7.634343e-7,0.0002766978,0.00004969245,0.01193206,0.9264163,0.0006558336,0.05714148],"study_design_scores_gemma":[0.0006193187,0.0002533491,0.002918232,0.00008464253,0.0001281166,0.000006518696,0.00004467279,0.0003411158,0.008552615,0.9867535,0.0002411272,0.00005683727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3955308,0.00001159754,0.6025934,0.0001178433,0.00009967769,0.0006610716,0.0005849354,0.000003426773,0.00039722],"genre_scores_gemma":[0.7368283,0.000008435071,0.2631008,0.000006989548,0.00002961745,0.00001292091,0.000001891381,0.000004964422,0.000006078983],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.3412974,"threshold_uncertainty_score":0.9923056,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2459365779256751,"score_gpt":0.429326095572337,"score_spread":0.1833895176466619,"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."}}