{"id":"W4414594302","doi":"10.3390/stats8030081","title":"The Unit-Modified Weibull Distribution: Theory, Estimation, and Real-World Applications","year":2025,"lang":"en","type":"article","venue":"Stats","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"King Saud University","keywords":"Nonparametric statistics; Weibull distribution; Estimator; Parametric statistics; Confidence interval; Parametric model; Statistical hypothesis testing; Probability distribution","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":[0.0004236419,0.0001341311,0.0001368067,0.00004356637,0.0009557139,0.000125081,0.0001849626,0.00004491419,0.00006090305],"category_scores_gemma":[0.0006459871,0.0001033463,0.00003429365,0.0006005049,0.0003168093,0.000059044,0.00006283494,0.000124901,0.00004986675],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006264911,"about_ca_system_score_gemma":0.00008696361,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001744426,"about_ca_topic_score_gemma":0.00006662186,"domain_scores_codex":[0.9989386,0.00009643993,0.0003692426,0.0002262645,0.0001582446,0.000211233],"domain_scores_gemma":[0.9968236,0.002339617,0.0001056921,0.0004310427,0.0002108727,0.00008917797],"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":[0.00001108135,0.00004633581,0.00005568259,0.00002769598,0.00002033726,1.753682e-7,0.00002339641,0.000007903409,0.000006884703,0.9541117,0.01725729,0.02843152],"study_design_scores_gemma":[0.000242582,0.00000592703,0.008479822,0.0000181111,0.00005214369,0.000001050806,0.00009258094,0.006348116,0.00007238822,0.9143916,0.07019618,0.00009954023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0005953556,0.00006160622,0.962445,0.004088376,0.00005062703,0.000643078,0.0006631365,0.0001797642,0.03127307],"genre_scores_gemma":[0.9723343,0.0001341345,0.01099418,0.0002768833,0.00004569343,0.001246072,0.0009232599,0.00001848565,0.01402704],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9717389,"threshold_uncertainty_score":0.7350675,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04374741793604851,"score_gpt":0.3949918364482185,"score_spread":0.35124441851217,"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."}}