{"id":"W4210772979","doi":"10.1017/s026996482100053x","title":"Some stochastic comparisons of lower records and lower record spacings","year":2022,"lang":"en","type":"article","venue":"Probability in the Engineering and Informational Sciences","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Ministerio de Ciencia e Innovación","keywords":"Mathematics; Regular polygon; Order (exchange); Order statistic; Stochastic ordering; Statistics; Combinatorics; Geometry; Economics","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":[0.003229542,0.000409071,0.0008391569,0.00154816,0.0009494065,0.00217884,0.001230803,0.0005352306,0.006915434],"category_scores_gemma":[0.02085744,0.0003581364,0.0009466995,0.001721203,0.001788648,0.0035628,0.001292401,0.001935737,0.0004484699],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001369189,"about_ca_system_score_gemma":0.001457768,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002133414,"about_ca_topic_score_gemma":0.001901357,"domain_scores_codex":[0.996451,0.0007145453,0.000406038,0.0009813143,0.001062967,0.0003840383],"domain_scores_gemma":[0.9819747,0.008724247,0.004112794,0.001587298,0.002509261,0.00109167],"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":[0.0004436797,0.0001258437,0.02444099,0.000270601,0.00008305744,0.001017393,0.0009151222,0.06643908,0.02288683,0.8519382,0.001832557,0.02960662],"study_design_scores_gemma":[0.00007626593,0.000502512,0.03375236,0.00009234059,0.00008589402,0.001158348,0.0007500749,0.287167,0.01765957,0.6498709,0.008680973,0.0002038541],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4253228,0.0004777747,0.5551185,0.0008299722,0.00009792205,0.00007419597,0.001564831,0.000325294,0.01618869],"genre_scores_gemma":[0.9213035,0.0002794756,0.0723911,0.0001583557,0.0001535418,0.00008464002,0.001061132,0.0001099709,0.004458396],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006915434,"threshold_uncertainty_score":0.02313441,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04920372032710046,"score_gpt":0.3006807311924808,"score_spread":0.2514770108653804,"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."}}