{"id":"W4313016020","doi":"10.1007/978-3-030-95864-0_2","title":"Chapter 2: The Univariate Gaussian and Related Distributions","year":2022,"lang":"en","type":"book-chapter","venue":"","topic":"Statistical and numerical algorithms","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University; McGill University","funders":"","keywords":"Univariate; Gaussian; Univariate distribution; Quadratic equation; Hermitian matrix; Mathematics; Distribution (mathematics); Applied mathematics; Statistics; Statistical physics; Econometrics; Multivariate statistics; Pure mathematics; Mathematical analysis; Physics; Geometry","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":[0.0006028368,0.0007475591,0.0005659895,0.001042418,0.0005373358,0.002257701,0.0007319818,0.0009842931,0.02485488],"category_scores_gemma":[0.00201028,0.0003604472,0.0004930809,0.00151885,0.001103417,0.002406148,0.0008171954,0.002377376,0.01060264],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001114604,"about_ca_system_score_gemma":0.0008015598,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00136439,"about_ca_topic_score_gemma":0.001175009,"domain_scores_codex":[0.9995576,0.00007095835,0.00001450037,0.0001119576,0.0002154395,0.00002958961],"domain_scores_gemma":[0.9994162,0.0002986182,0.00003065859,0.00005300231,0.0001784437,0.00002301748],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00002059971,0.00002578815,0.0002242417,0.0004179546,0.00001886664,0.0001315666,0.0002712144,0.004192018,0.001462376,0.7363955,0.1323878,0.1244521],"study_design_scores_gemma":[0.000003357485,0.00002190692,0.0006502717,0.0003281818,0.00001115726,0.0004031269,0.00007686147,0.005449718,0.0006772666,0.3891812,0.6031748,0.00002209443],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.006827318,0.1350623,0.4405195,0.008835855,0.006588712,0.0001418506,0.001802335,0.001210239,0.399012],"genre_scores_gemma":[0.1068209,0.1617176,0.1287438,0.005735236,0.009989969,0.0002938644,0.002290723,0.001826796,0.5825812],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.02485488,"threshold_uncertainty_score":0.08314782,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03463963772478491,"score_gpt":0.2694546889168271,"score_spread":0.2348150511920422,"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."}}