{"id":"W2057464142","doi":"10.1081/sta-120037438","title":"The Double Pareto-Lognormal Distribution—A New Parametric Model for Size Distributions","year":2004,"lang":"en","type":"article","venue":"Communication in Statistics- Theory and Methods","topic":"Complex Systems and Time Series Analysis","field":"Economics, Econometrics and Finance","cited_by":448,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Log-normal distribution; Mathematics; Pareto distribution; Logarithm; Statistical physics; Pareto principle; Brownian motion; Distribution (mathematics); Power law; Applied mathematics; Statistics; Mathematical analysis; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.003923211,0.0001306157,0.0003188862,0.00006429756,0.0007127659,0.0001504092,0.0003720353,0.00007164627,0.0000376779],"category_scores_gemma":[0.001948418,0.0001212095,0.00007940597,0.000422466,0.0002069012,0.000128125,0.0001330471,0.0001584872,0.000007132375],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001225092,"about_ca_system_score_gemma":0.0000578832,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004182888,"about_ca_topic_score_gemma":0.0002582897,"domain_scores_codex":[0.9986126,0.000189321,0.0006831093,0.0002347377,0.00002883036,0.0002514059],"domain_scores_gemma":[0.995927,0.002902985,0.0003136362,0.0006911224,0.00007457867,0.00009071819],"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":[0.00007719536,0.00003362872,0.0003538863,0.00001203837,0.00003637663,8.453858e-8,0.0002295218,0.003118674,0.000001663148,0.9891012,0.0003610697,0.006674604],"study_design_scores_gemma":[0.0009145626,0.00002408523,0.003044349,0.00001183908,0.00002133055,0.000001706723,0.0002044805,0.04423998,0.00001132882,0.9197796,0.03159704,0.0001496942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001354234,0.006140201,0.9892704,0.0006087783,0.00006752455,0.0003164931,0.001413598,0.00001944724,0.0008093487],"genre_scores_gemma":[0.7093008,0.00146817,0.2866139,0.0000421457,0.00002726465,0.0001761199,0.0003285791,0.00001503629,0.002027997],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7079466,"threshold_uncertainty_score":0.5482091,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06313688200149484,"score_gpt":0.3516403090142658,"score_spread":0.288503427012771,"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."}}