{"id":"W4321379229","doi":"10.17576/jsm-2023-5201-24","title":"Approximation of the Sum of Independent Lognormal Variates using Lognormal Distribution by Maximum Likelihood Estimation Approached","year":2023,"lang":"en","type":"article","venue":"Sains Malaysiana","topic":"Forecasting Techniques and Applications","field":"Decision Sciences","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Institut National de la Recherche Scientifique","funders":"","keywords":"Log-normal distribution; Mathematics; Independent and identically distributed random variables; Monte Carlo method; Statistics; Sample size determination; Applied mathematics; Random variable","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":[0.002354269,0.0001477461,0.0002579555,0.000167965,0.0001949536,0.00006255266,0.0007036199,0.0001487418,0.000037429],"category_scores_gemma":[0.0007562151,0.0001056612,0.0001524683,0.0020431,0.0001681803,0.0002676746,0.0002895319,0.0001636604,0.00001234847],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006950739,"about_ca_system_score_gemma":0.00008955329,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001710757,"about_ca_topic_score_gemma":0.0000122101,"domain_scores_codex":[0.9974014,0.0001492611,0.0008206966,0.0003299195,0.001016759,0.0002819198],"domain_scores_gemma":[0.9980535,0.0002126464,0.0007460745,0.0006350974,0.0002968397,0.00005585968],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002539787,0.001978459,0.187505,0.0004623095,0.0002592155,0.00000452277,0.00377458,0.2557092,0.1281441,0.1379843,0.04443828,0.239486],"study_design_scores_gemma":[0.0002422895,0.00005115227,0.03427934,0.00003867537,0.00003693274,0.000006606347,0.0003769389,0.8767858,0.01976649,0.0680492,0.0002219478,0.0001446654],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5699976,0.00001194344,0.4284976,0.0003450881,0.00005884763,0.0003811887,0.0002537591,0.00007513416,0.0003788181],"genre_scores_gemma":[0.992364,0.000003006406,0.007231412,0.00001311404,0.00002506588,0.00003444997,0.0002561571,0.00001273812,0.00006009386],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6210766,"threshold_uncertainty_score":0.4308738,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06925698314671778,"score_gpt":0.3300588353343585,"score_spread":0.2608018521876407,"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."}}