{"id":"W2396558483","doi":"","title":"Ascents Of Size Less Than d In Samples Of Geometric Random Variables: Mean, Variance and Distribution.","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Statistics; Variance (accounting); Random variable","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007722841,0.0001311069,0.0005096691,0.00006521566,0.0000291192,0.00000424384,0.000148878,0.00008211759,0.00002480927],"category_scores_gemma":[0.00384485,0.0001182906,0.00004145084,0.0004270087,0.0001167246,0.00006654209,0.00007577414,0.0001086912,3.870607e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002718379,"about_ca_system_score_gemma":0.00002813297,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001732511,"about_ca_topic_score_gemma":0.000008598352,"domain_scores_codex":[0.9987445,0.0001601332,0.0004911562,0.0002084752,0.0001911716,0.0002045429],"domain_scores_gemma":[0.9964514,0.002840336,0.0002425123,0.0002610155,0.0001361175,0.00006858187],"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":[0.0001374568,0.0003595029,0.006639013,0.0002026792,0.00002981098,0.000002804293,0.0004117815,0.000002155215,0.0001694195,0.9896938,0.00002748432,0.00232409],"study_design_scores_gemma":[0.002661235,0.00008567426,0.01540094,0.00011758,0.00003922898,0.000001413624,0.000106862,0.0001282476,0.003164008,0.9781665,0.00001416874,0.0001141165],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5394623,0.0001630667,0.459176,0.000006371168,0.0002427966,0.0002689821,0.0001571022,0.00001479385,0.0005085035],"genre_scores_gemma":[0.83786,0.00005573141,0.1620308,0.000003483535,0.00000184663,0.00001225918,0.000003617365,0.00001184492,0.00002032978],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2983977,"threshold_uncertainty_score":0.4823752,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08896468498957749,"score_gpt":0.3372177368643309,"score_spread":0.2482530518747534,"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."}}