{"id":"W3122883815","doi":"","title":"On the bias of the maximum likelihood estimator for the two-parameter Lomax distribution","year":2011,"lang":"en","type":"preprint","venue":"","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"The King's University; Western University; University of Victoria","funders":"","keywords":"Lomax distribution; Estimator; Mathematics; Statistics; Mean squared error; Parametric statistics; Pareto principle; Pareto distribution; Bias of an estimator; Distribution (mathematics); Monte Carlo method; Applied mathematics; Minimum-variance unbiased estimator; Mathematical analysis","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":[0.0006854438,0.0002892201,0.0003065973,0.00001878021,0.0004159915,0.0000843897,0.0008832783,0.0001738095,0.0007324702],"category_scores_gemma":[0.006078313,0.0001229568,0.000381073,0.0001667433,0.0003432282,0.0000210524,0.0003632418,0.0004546291,0.00007910857],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008042411,"about_ca_system_score_gemma":0.0001311549,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005739407,"about_ca_topic_score_gemma":0.00001792857,"domain_scores_codex":[0.9982482,0.0001368355,0.0006466635,0.0003320662,0.0003725204,0.0002637788],"domain_scores_gemma":[0.9895169,0.008083181,0.0005500455,0.001449913,0.0003366383,0.00006328017],"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":[0.00001754373,0.000173006,0.000008804554,0.00008073144,0.00007061486,4.962649e-8,0.0000470001,0.00004424382,0.000009387841,0.9512868,0.04658554,0.001676276],"study_design_scores_gemma":[0.0002331435,0.00002286088,0.0009545709,0.00009411293,0.0002446133,0.000001800204,0.00006524358,0.0360506,0.001613103,0.9590874,0.001474332,0.0001582314],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.00268037,0.00001542945,0.9804978,0.006534294,0.0003063732,0.002566686,0.004322763,0.00008550684,0.00299083],"genre_scores_gemma":[0.975387,0.000007268248,0.02111336,0.0005951279,0.00007898766,0.001935896,0.0004280237,0.00004081778,0.0004135514],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9727066,"threshold_uncertainty_score":0.8020036,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1634233565648977,"score_gpt":0.3675798735415043,"score_spread":0.2041565169766067,"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."}}