{"id":"W2120066184","doi":"10.1109/acssc.2004.1399309","title":"Accurate simple closed-form approximations to the distributions and densities of a sum of independent Rayleigh random variables","year":2005,"lang":"en","type":"article","venue":"","topic":"Advanced Wireless Communication Techniques","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Random variable; Rayleigh distribution; Simple (philosophy); Illustration of the central limit theorem; Mathematics; Rayleigh scattering; Range (aeronautics); Closed-form expression; Probability distribution; Expression (computer science); Probability density function; Distribution (mathematics); Applied mathematics; Statistical physics; Argument (complex analysis); Sum of normally distributed random variables; Mathematical analysis; Statistics; Computer science; Marginal distribution; Physics; Quantum mechanics","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":[0.003132284,0.001567265,0.001665297,0.001550955,0.0006867056,0.002666717,0.001914845,0.001766395,0.003910423],"category_scores_gemma":[0.02131795,0.0007303565,0.0008893115,0.00160138,0.001484584,0.004737884,0.001420733,0.002847378,0.004702033],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001124427,"about_ca_system_score_gemma":0.001357352,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001611291,"about_ca_topic_score_gemma":0.00188734,"domain_scores_codex":[0.997408,0.0006891355,0.0001393653,0.0002274967,0.001341251,0.0001947956],"domain_scores_gemma":[0.9924372,0.004531366,0.0004777866,0.0009299759,0.001545766,0.00007784276],"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":[0.00008249568,0.0001228676,0.0006488162,0.0004630442,0.00005373341,0.0003363399,0.0003093632,0.6739256,0.007407273,0.2111629,0.007509433,0.09797818],"study_design_scores_gemma":[0.00001464208,0.00003291774,0.0002119792,0.00008554806,0.00001574523,0.0003506895,0.00006115081,0.9261569,0.003400599,0.06349757,0.006133145,0.0000390457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002527324,0.0005880612,0.9922494,0.00008828968,0.00007233452,0.00004357047,0.00008674813,0.0003107915,0.004033603],"genre_scores_gemma":[0.2342479,0.007797867,0.7414463,0.0004427267,0.0004966899,0.0006469627,0.0008958541,0.0005791537,0.01344652],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003910423,"threshold_uncertainty_score":0.01656532,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01168582791774794,"score_gpt":0.2471853165232387,"score_spread":0.2354994886054907,"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."}}