{"id":"W2502483914","doi":"10.1142/9789812772213_0008","title":"On Simple Binomial Approximations for Two Variable Functions in Finance Applications","year":2007,"lang":"en","type":"book-chapter","venue":"Advanced in quantitative analysis of finance and accounting","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Northern British Columbia; Brock University","funders":"","keywords":"Simple (philosophy); Variable (mathematics); Mathematics; Binomial (polynomial); Applied mathematics; Mathematical economics; Binomial coefficient; Binomial distribution; Negative binomial distribution; Econometrics; Computer science; Statistics; Discrete mathematics; Mathematical analysis; Epistemology; Philosophy","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":[0.00419171,0.0006613129,0.0008544172,0.00123608,0.0006081435,0.001423383,0.001192553,0.001350392,0.005343046],"category_scores_gemma":[0.01304141,0.0003482742,0.0008795438,0.001266262,0.001929069,0.002066795,0.001318654,0.002242595,0.0009399649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001216307,"about_ca_system_score_gemma":0.0007403949,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003234463,"about_ca_topic_score_gemma":0.001838132,"domain_scores_codex":[0.9989352,0.0005384362,0.00002849977,0.00006413176,0.0003305018,0.0001034065],"domain_scores_gemma":[0.9953198,0.003605916,0.0002092549,0.0002527102,0.0004679002,0.0001444091],"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":[0.00004814499,0.00003666183,0.0005287735,0.00006285221,0.00001245645,0.0001563637,0.0001212313,0.1501726,0.0009828412,0.8376841,0.001658157,0.00853582],"study_design_scores_gemma":[0.000008717102,0.00001206096,0.0001467395,0.00002430857,0.00000428001,0.00004073304,0.00001624943,0.8575326,0.0002138843,0.1405742,0.0014179,0.000008272784],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.06872939,0.002346803,0.8929664,0.0009510705,0.0003703636,0.00007231579,0.00008753574,0.0002035335,0.03427256],"genre_scores_gemma":[0.7857752,0.002660202,0.1848032,0.000571102,0.0003178105,0.0002160361,0.0002249005,0.0002820518,0.02514966],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005343046,"threshold_uncertainty_score":0.02216816,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03812477864276622,"score_gpt":0.2959211450210231,"score_spread":0.2577963663782569,"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."}}