{"id":"W2075806242","doi":"10.1080/17442508.2012.660942","title":"Three dimensional distribution of Brownian motion extrema","year":2012,"lang":"en","type":"article","venue":"Stochastics","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Maxima and minima; Mathematics; Maxima; Brownian motion; Mathematical analysis; Joint probability distribution; Distribution (mathematics); Joint (building); Statistical physics; Statistics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001564747,0.0004579498,0.0006853029,0.002094783,0.0005451982,0.002389153,0.0008587611,0.0009706851,0.004919419],"category_scores_gemma":[0.006157779,0.0004662428,0.0008031873,0.001112489,0.00199679,0.002291715,0.001480923,0.001413433,0.0008058421],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008537227,"about_ca_system_score_gemma":0.0004243924,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006890242,"about_ca_topic_score_gemma":0.0003422492,"domain_scores_codex":[0.999518,0.00009283236,0.00003394648,0.0001331724,0.0001338046,0.00008816955],"domain_scores_gemma":[0.9978288,0.0009574186,0.0003670818,0.0002165826,0.0004018233,0.0002282567],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001296682,0.0000475528,0.005656484,0.00009477164,0.00005812744,0.0005013144,0.0003560669,0.07412123,0.013652,0.8858645,0.001375628,0.01814271],"study_design_scores_gemma":[0.00003015653,0.00007077347,0.009777871,0.00008400375,0.00004273112,0.0006946104,0.0002380273,0.4156219,0.008231034,0.5604755,0.004560998,0.0001724571],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3223539,0.0008782403,0.658838,0.0005849639,0.00008054272,0.00004692507,0.0004020137,0.0004457008,0.01636967],"genre_scores_gemma":[0.9656622,0.0005156508,0.02947035,0.00006107733,0.00007011492,0.00008075275,0.0003118711,0.000138053,0.003689897],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004919419,"threshold_uncertainty_score":0.01645708,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0334975345782832,"score_gpt":0.2236562475771835,"score_spread":0.1901587129989003,"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."}}