{"id":"W2001222925","doi":"10.1080/03610926.2011.600506","title":"On the Bias of the Maximum Likelihood Estimator for the Two-Parameter Lomax Distribution","year":2013,"lang":"en","type":"article","venue":"Communication in Statistics- Theory and Methods","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":73,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University; King's University College; University of Victoria","funders":"","keywords":"Lomax distribution; Estimator; Mathematics; Statistics; Mean squared error; Bias of an estimator; Pareto distribution; Parametric statistics; Pareto principle; Efficiency; Applied mathematics; Minimum-variance unbiased estimator","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0200097,0.0007934342,0.0008897018,0.001421842,0.0005833149,0.001434061,0.00140593,0.001354864,0.002132578],"category_scores_gemma":[0.1327803,0.0003794319,0.0005097677,0.001213023,0.002516997,0.002367387,0.001853212,0.00203896,0.0008843548],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001509544,"about_ca_system_score_gemma":0.001196736,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001516569,"about_ca_topic_score_gemma":0.0009196444,"domain_scores_codex":[0.9945049,0.00359406,0.0001363005,0.0003898232,0.001184679,0.0001902009],"domain_scores_gemma":[0.9113535,0.0799144,0.002024275,0.003605861,0.002816141,0.0002858405],"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":[0.0005084258,0.00008168574,0.01286153,0.0004801387,0.0001702476,0.000416549,0.000529033,0.3428342,0.01257067,0.4232438,0.004746191,0.2015575],"study_design_scores_gemma":[0.00004974124,0.0001076974,0.004217104,0.000213999,0.0000468492,0.0005619398,0.0001020556,0.773029,0.009113429,0.2077085,0.004750096,0.00009954667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02009735,0.000848319,0.9761608,0.0004910989,0.00007445966,0.00002312307,0.00004300297,0.0002705869,0.001991262],"genre_scores_gemma":[0.5996804,0.001977892,0.3918101,0.001030538,0.0003841819,0.0002923839,0.0003997523,0.0007003545,0.003724515],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0200097,"threshold_uncertainty_score":0.1058227,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1095130435299496,"score_gpt":0.4461202520321635,"score_spread":0.3366072085022138,"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."}}