{"id":"W2085954699","doi":"10.2139/ssrn.2001129","title":"On the Moments of Ratio of Quadratic Forms in Normal Random Variables","year":2012,"lang":"en","type":"article","venue":"SSRN Electronic Journal","topic":"Quantum, superfluid, helium dynamics","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Download; Quadratic equation; Computer science; Random variable; Mathematics; Statistics; World Wide Web","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":[],"consensus_categories":[],"category_scores_codex":[0.001694126,0.0001260272,0.0002375436,0.00008684681,0.00007325385,0.0000130603,0.0002244362,0.00003152525,0.0001434362],"category_scores_gemma":[0.0000181929,0.00008137158,0.0001098577,0.000162605,0.00004132262,0.0002539933,0.00002612502,0.0007865922,0.000008878043],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001646923,"about_ca_system_score_gemma":0.0005996072,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001924785,"about_ca_topic_score_gemma":0.00008100594,"domain_scores_codex":[0.9980363,0.0001109744,0.0004354594,0.00007263165,0.0002340861,0.001110542],"domain_scores_gemma":[0.9993569,0.0001798288,0.0002131886,0.0001619858,0.00004560483,0.00004254529],"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":[0.0001308588,0.0002597577,0.046918,0.000007408622,0.0001508201,8.480279e-8,0.0004828963,0.0005492286,0.001946969,0.9478391,0.00001598391,0.001698915],"study_design_scores_gemma":[0.00674115,0.0007538446,0.004217059,0.0001528966,0.0001297435,0.00002370988,0.007507045,0.01050891,0.006531374,0.9629078,0.000133817,0.0003926453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9760243,0.0002894262,0.02045185,0.0001101659,0.0001041201,0.0001715211,0.00000679834,0.000002666215,0.00283914],"genre_scores_gemma":[0.9995641,0.00009774888,0.00002821126,0.00001284577,0.0001153295,0.000009036294,0.000005145029,0.00001450108,0.0001530838],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04270094,"threshold_uncertainty_score":0.3417395,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005158807026426273,"score_gpt":0.2199998019695269,"score_spread":0.2148409949431006,"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."}}