{"id":"W7117567139","doi":"10.6000/1929-6029.2025.14.79","title":"An Empirical Comparison among Four Estimation Methods for the Laplace Distribution and Its Potential Application in Medical Research","year":2025,"lang":"en","type":"article","venue":"International Journal of Statistics in Medical Research","topic":"Statistical Methods and Bayesian Inference","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Laplace's method; Estimator; Monte Carlo method; Estimation theory; Sample size determination; Laplace transform; Mean squared error; Scale (ratio); Inference","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0520105,0.001146963,0.001260464,0.002878756,0.0007983712,0.002559956,0.001854934,0.002525166,0.001979414],"category_scores_gemma":[0.2790437,0.0005384481,0.001144931,0.002155397,0.002760959,0.003720853,0.002081862,0.002138321,0.0005850348],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001142015,"about_ca_system_score_gemma":0.00212012,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002477126,"about_ca_topic_score_gemma":0.001359025,"domain_scores_codex":[0.9799511,0.01430055,0.0007838736,0.00172057,0.002978123,0.0002658205],"domain_scores_gemma":[0.6987931,0.27333,0.00704451,0.01032977,0.009626711,0.0008760114],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001415646,0.0002424546,0.1106734,0.002253121,0.00126933,0.0005362484,0.002574209,0.2512504,0.006098119,0.1267228,0.007372946,0.4895913],"study_design_scores_gemma":[0.0003059234,0.0009111336,0.0293559,0.001152454,0.0004523323,0.001985322,0.001149493,0.8259767,0.0100513,0.1154647,0.01284543,0.0003493418],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0546313,0.005493368,0.9347594,0.001721546,0.0001489383,0.0002031571,0.0002453194,0.0005461954,0.002250813],"genre_scores_gemma":[0.5798349,0.003796346,0.4130827,0.0007020282,0.0002460363,0.0006331998,0.0006262227,0.0002422031,0.0008364557],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0520105,"threshold_uncertainty_score":0.2750611,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2159397206242709,"score_gpt":0.64746413172996,"score_spread":0.4315244111056891,"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."}}