{"id":"W2298956764","doi":"10.1080/02331888.2015.1053809","title":"Distribution approximation and modelling via orthogonal polynomial sequences","year":2015,"lang":"en","type":"article","venue":"Statistics","topic":"Statistical Methods and Bayesian Inference","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Orthogonal polynomials; Basis (linear algebra); Moment (physics); Probability density function; Moment-generating function; Orthogonal basis; Applied mathematics; Random variable; Polynomial; Distribution (mathematics); Weight function; Sequence (biology); Function (biology); Method of moments (probability theory); Combinatorics; Statistics; Mathematical analysis; Estimator","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":[0.0004466923,0.0001191539,0.0001786239,0.00002327926,0.00008021625,0.00005885229,0.000062095,0.00006259225,0.00002634922],"category_scores_gemma":[0.001021276,0.0001053805,0.0000129584,0.00008022565,0.0001272491,0.00008442446,0.00003176921,0.0001119763,0.000009426586],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004784244,"about_ca_system_score_gemma":0.00007470812,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003639284,"about_ca_topic_score_gemma":0.000008038882,"domain_scores_codex":[0.9990132,0.0000981489,0.0002698785,0.000182285,0.0002430308,0.0001934171],"domain_scores_gemma":[0.9988099,0.0006587986,0.0001043982,0.0001096731,0.0001574661,0.0001597509],"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":[0.00002395872,0.00002627081,0.0002206454,0.00005317749,0.000008880504,0.000007143873,0.0002030411,0.00002661063,0.00003117056,0.9579761,0.002507988,0.03891502],"study_design_scores_gemma":[0.0001835474,0.00006014513,0.0001213654,0.00001394275,0.00002726742,0.00001332884,0.00005645127,0.218959,0.00006927382,0.7801806,0.0002001133,0.0001149261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004298553,0.00002528726,0.993887,0.00005442036,0.0001440779,0.0001231332,0.0009650828,0.00004288791,0.0004595747],"genre_scores_gemma":[0.1538596,0.000007114671,0.845866,0.00001665246,0.00008473808,0.000008406862,0.0001194824,0.000009747448,0.00002829535],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2189324,"threshold_uncertainty_score":0.429729,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1008775334520189,"score_gpt":0.3566508466640484,"score_spread":0.2557733132120296,"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."}}