{"id":"W2235648871","doi":"","title":"THE FOURIER TRANSFORM OF THE MULTIDIMENTIONAL GENERALIZED GAUSSIAN DISTRIBUTION","year":2011,"lang":"en","type":"article","venue":"","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Bessel function; Fourier transform; Mathematics; Gaussian; Distribution (mathematics); Fourier series; Mathematical analysis; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000191743,0.00006466301,0.00006934581,0.000005310026,0.000289829,0.000009820812,0.0001562301,0.00003176396,0.0008547334],"category_scores_gemma":[0.0002107682,0.00003192852,0.00008934576,0.0001272224,0.000169165,0.00003253989,0.00001723103,0.00005524206,0.00002081987],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002363446,"about_ca_system_score_gemma":0.0000267209,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002066457,"about_ca_topic_score_gemma":0.00002282899,"domain_scores_codex":[0.9992943,0.0000399576,0.0002728036,0.00007887752,0.0002024421,0.0001116552],"domain_scores_gemma":[0.9993529,0.0001851486,0.00008712347,0.0002420331,0.00009433124,0.0000384303],"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":[0.00000754564,0.00007804308,0.00004701662,0.00000469995,0.00001346179,2.945865e-8,0.0000507935,2.765368e-7,0.0000723485,0.9926378,0.005075505,0.002012521],"study_design_scores_gemma":[0.0004359827,0.00001138862,0.02527437,0.000008427324,0.00004598579,0.000002304891,0.00009163784,0.005247996,0.007657039,0.9526659,0.008479829,0.00007917665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004476079,0.000007614385,0.964762,0.001855318,0.0000676397,0.000353182,0.0003859651,0.00003851401,0.02805372],"genre_scores_gemma":[0.9791797,0.00000498252,0.0185923,0.00004769395,0.00001368796,0.00008653744,0.00006902562,0.000005771294,0.002000291],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9747036,"threshold_uncertainty_score":0.9358732,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08805680416903962,"score_gpt":0.3312697993036788,"score_spread":0.2432129951346392,"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."}}