{"id":"W2128338176","doi":"10.1109/vetecf.2004.1399938","title":"Accurate simple closed-form approximations to distributions and densities of lognormal sum random variables","year":2005,"lang":"en","type":"article","venue":"","topic":"Millimeter-Wave Propagation and Modeling","field":"Engineering","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Log-normal distribution; Random variable; Mathematics; Closed-form expression; Sum of normally distributed random variables; Expression (computer science); Probability density function; Illustration of the central limit theorem; Applied mathematics; Simple (philosophy); Probability distribution; Statistical physics; Statistics; Marginal distribution; Mathematical analysis; Computer science; 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":[0.001919875,0.001085241,0.00116439,0.001150255,0.0005070395,0.001692519,0.001656993,0.001294857,0.001975001],"category_scores_gemma":[0.01299011,0.0005940803,0.0006510293,0.00134331,0.001012745,0.004322299,0.001095783,0.002017152,0.001506586],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001124563,"about_ca_system_score_gemma":0.0008295971,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002267847,"about_ca_topic_score_gemma":0.002387857,"domain_scores_codex":[0.9985514,0.0003739898,0.00007859095,0.0001549258,0.0007288553,0.0001121708],"domain_scores_gemma":[0.9960862,0.002102283,0.0003082708,0.0005808814,0.0008503956,0.00007188578],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006645142,0.00005667987,0.001171424,0.0001574013,0.00003607598,0.0002065795,0.0002029115,0.8205891,0.00436114,0.09866534,0.002743364,0.07174348],"study_design_scores_gemma":[0.000005032366,0.00001028457,0.0001821926,0.00002118477,0.000005807721,0.0001440141,0.00003143214,0.9704781,0.001271986,0.02583854,0.001994106,0.00001723081],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004563362,0.0002770089,0.99326,0.00005870139,0.00003806078,0.00001826835,0.00005027589,0.0002766298,0.001457588],"genre_scores_gemma":[0.3915133,0.003159768,0.5963973,0.0002359505,0.0001896545,0.0002644522,0.0005478512,0.0004547495,0.00723691],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002267847,"threshold_uncertainty_score":0.01015341,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0155854869389583,"score_gpt":0.2269536263978446,"score_spread":0.2113681394588863,"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."}}