{"id":"W2110410763","doi":"10.1239/jap/996986650","title":"Boundary crossing probability for Brownian motion","year":2001,"lang":"en","type":"article","venue":"Journal of Applied Probability","topic":"Probabilistic and Robust Engineering Design","field":"Decision Sciences","cited_by":104,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Boundary (topology); Piecewise; Brownian motion; Piecewise linear function; Mathematical analysis; Monte Carlo method; Applied mathematics; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003617342,0.0004633125,0.001117427,0.001883281,0.0009434323,0.002095263,0.001792229,0.002194789,0.006059679],"category_scores_gemma":[0.02193695,0.0004344538,0.0009658267,0.0009015932,0.002692975,0.004449482,0.002285542,0.002310857,0.0008702916],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001467042,"about_ca_system_score_gemma":0.0005186502,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001436617,"about_ca_topic_score_gemma":0.0003713663,"domain_scores_codex":[0.9985845,0.0003060678,0.00005730473,0.000348112,0.0004911849,0.0002129391],"domain_scores_gemma":[0.994652,0.003388306,0.0005743746,0.0004306494,0.0005734486,0.0003812056],"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":[0.00007783878,0.00002078415,0.001163056,0.0001068113,0.00002098596,0.0001734293,0.0002179147,0.1845315,0.002476767,0.7942271,0.0009308538,0.01605279],"study_design_scores_gemma":[0.00001491228,0.00003091615,0.0006826295,0.00004056796,0.00001310951,0.0002013093,0.00003042253,0.688382,0.001332228,0.3076378,0.001597571,0.00003662627],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07489239,0.00154334,0.9112746,0.0003866077,0.0001114926,0.00005047638,0.00006990636,0.0002762544,0.01139488],"genre_scores_gemma":[0.8898255,0.001769365,0.0999609,0.0001855072,0.0001568203,0.0001794487,0.0002048788,0.0001500164,0.007567689],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006059679,"threshold_uncertainty_score":0.02027166,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1099058594824618,"score_gpt":0.3361828883833318,"score_spread":0.22627702890087,"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."}}