{"id":"W2014058093","doi":"10.1198/000313006x89947","title":"The PDF of a Function of a Random Variable","year":2006,"lang":"en","type":"article","venue":"The American Statistician","topic":"Evolutionary Algorithms and Applications","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University; Natural Sciences and Engineering Research Council of Canada","funders":"","keywords":"Probability density function; Random variable; Mathematics; Probability mass function; Variable (mathematics); Inverse function; Function (biology); Inverse; Analogy; Applied mathematics; Statistical physics; Statistics; Mathematical analysis; Geometry; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002454468,0.000579181,0.0006503828,0.001452614,0.0005311694,0.002193376,0.001000048,0.001896479,0.00578406],"category_scores_gemma":[0.01259328,0.0003306009,0.0006642279,0.001059967,0.004288869,0.006020953,0.0008390852,0.002649879,0.002068826],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009560921,"about_ca_system_score_gemma":0.0006993475,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001272154,"about_ca_topic_score_gemma":0.0003898898,"domain_scores_codex":[0.9987659,0.0003961222,0.00004493169,0.0003190757,0.0003874782,0.00008662023],"domain_scores_gemma":[0.9945197,0.003664651,0.0003180836,0.0007490289,0.000619504,0.0001291732],"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":[0.00002776999,0.0000228763,0.0008489949,0.000118126,0.00002706455,0.000216462,0.0002445639,0.01995581,0.002646022,0.9435915,0.004816551,0.02748433],"study_design_scores_gemma":[0.0000201135,0.00006430125,0.001599787,0.000101886,0.0000310602,0.0008305631,0.0001120462,0.1226092,0.002864768,0.8371778,0.03450692,0.00008160253],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01497228,0.001711383,0.9538248,0.003541841,0.000651783,0.00002983728,0.0002673948,0.0004388062,0.02456186],"genre_scores_gemma":[0.7134836,0.008185193,0.2335504,0.00258296,0.002683301,0.000263436,0.0005477371,0.0007069059,0.03799662],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00578406,"threshold_uncertainty_score":0.01934963,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004906086841960577,"score_gpt":0.221514498969025,"score_spread":0.2166084121270644,"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."}}