{"id":"W4410206739","doi":"10.28924/2291-8639-23-2025-106","title":"A New Compound Family of Weibull Order Statistics and Left k-Truncated Power Series Distributions","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"King Faisal University","keywords":"Weibull distribution; Mathematics; Series (stratigraphy); Power series; Statistics; Order (exchange); Order statistic; Econometrics; Statistical physics; Mathematical analysis; Economics; Physics","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":[0.003268149,0.00104759,0.001016279,0.002004779,0.0006627738,0.001804703,0.001326995,0.001039057,0.004289646],"category_scores_gemma":[0.01271838,0.0005077053,0.001357065,0.001872201,0.001549946,0.003682482,0.0009839887,0.00231896,0.00138487],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001057714,"about_ca_system_score_gemma":0.001366088,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001434994,"about_ca_topic_score_gemma":0.0009691345,"domain_scores_codex":[0.998613,0.00032565,0.00008801354,0.0002800342,0.0005770663,0.000116153],"domain_scores_gemma":[0.9938485,0.003038943,0.0009157406,0.0007033135,0.001256823,0.000236712],"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":[0.00008617696,0.00004205745,0.004772665,0.0002260798,0.00007393592,0.0007345289,0.0003005317,0.1294124,0.005183865,0.7723933,0.006318171,0.08045623],"study_design_scores_gemma":[0.00001797459,0.00007981804,0.001713688,0.00007344002,0.00003466733,0.00121345,0.00007934006,0.6373623,0.001805546,0.3417797,0.01575784,0.00008222985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.009445345,0.0006982809,0.9851968,0.0002630581,0.0001069938,0.00003321079,0.0002298193,0.0002144564,0.003812052],"genre_scores_gemma":[0.5352414,0.006854412,0.4321939,0.0007383741,0.001045453,0.0004842889,0.001368011,0.0006785389,0.02139561],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004289646,"threshold_uncertainty_score":0.01728386,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01566535767225786,"score_gpt":0.3476653001065679,"score_spread":0.33199994243431,"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."}}