{"id":"W1966937304","doi":"10.1007/s00362-005-0285-4","title":"Dispersive ordering—Some applications and examples","year":2006,"lang":"en","type":"article","venue":"Statistical Papers","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Quantile; Independent and identically distributed random variables; Order statistic; Mathematics; Poisson distribution; Random variable; Convolution (computer science); Combinatorics; Order (exchange); Statistics; Distribution (mathematics); Homogeneous; Mathematical analysis; Computer science","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":[0.00007114092,0.0001343972,0.0001595135,0.00003292624,0.0002175917,0.00004846972,0.00007982691,0.00005049127,0.0007408151],"category_scores_gemma":[0.0003583006,0.0001253727,0.00002476876,0.0001302684,0.0003049253,0.00005460544,0.00003284033,0.00009493933,0.0001051056],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003750626,"about_ca_system_score_gemma":0.00002163298,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004863272,"about_ca_topic_score_gemma":0.00002220327,"domain_scores_codex":[0.9990279,0.00002853639,0.0002721417,0.0002704624,0.0001786315,0.0002223042],"domain_scores_gemma":[0.998418,0.001151783,0.0000561794,0.0001822212,0.00005626447,0.0001355293],"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":[0.000003520257,0.0000748495,0.00007798832,0.00003415822,0.000007469222,0.000001496928,0.00001352425,0.000002625044,0.0004467668,0.9904113,0.004691166,0.004235145],"study_design_scores_gemma":[0.0002995535,0.00001958488,0.02048293,0.000007686316,0.00004684411,0.000007087679,0.0001084523,0.0008109454,0.00004880048,0.9395103,0.03845555,0.0002022907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001590502,0.00004353494,0.9703537,0.0007092095,0.00002113974,0.0004075239,0.001218318,0.0001554141,0.02550067],"genre_scores_gemma":[0.8826421,0.00001455929,0.115494,0.0002205238,0.0001040981,0.0003408386,0.0004427302,0.00002470919,0.0007163752],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8810516,"threshold_uncertainty_score":0.8111406,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02942505838728359,"score_gpt":0.3210744817156525,"score_spread":0.2916494233283689,"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."}}