{"id":"W2067835923","doi":"10.1016/j.spl.2012.10.010","title":"On the asymptotic behavior of the sequence and series of running maxima from a real random sequence","year":2012,"lang":"en","type":"article","venue":"Statistics & Probability Letters","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Sequence (biology); Series (stratigraphy); Maxima; Combinatorics; Zero (linguistics); Limiting; Random sequence; Rate of convergence; Random variable; Exponential function; Asymptotic distribution; Convergence (economics); Convergence of random variables; Exponential distribution; Stationary sequence; Distribution (mathematics); Mathematical analysis; Statistics","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":[0.004060892,0.0002093538,0.0004390057,0.00004796391,0.0002579252,0.00007537429,0.0008724655,0.00007699608,0.00008522943],"category_scores_gemma":[0.004501699,0.0001076972,0.0001111135,0.0003372132,0.002370205,0.0003387601,0.0002747422,0.0002938446,0.000007672592],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007615276,"about_ca_system_score_gemma":0.000113316,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008177329,"about_ca_topic_score_gemma":0.0001810705,"domain_scores_codex":[0.9962973,0.0007846872,0.0009073908,0.000448465,0.001205325,0.0003568362],"domain_scores_gemma":[0.9930611,0.004851909,0.0005181837,0.001220154,0.0002504106,0.00009820642],"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":[0.0005343242,0.0003407267,0.3790369,0.00009016252,0.00005719176,0.000004311446,0.009554347,0.0002791958,0.04368149,0.55751,0.0008134801,0.008097868],"study_design_scores_gemma":[0.0004276234,0.0000792697,0.1581734,0.0000624625,0.00007735743,0.000006655299,0.00009900615,0.0005202969,0.003625055,0.8367141,0.00004648818,0.0001682697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9577383,0.00004294203,0.03751118,0.002605788,0.0002560562,0.0007917237,0.000944494,0.00001467967,0.00009485372],"genre_scores_gemma":[0.9588548,0.00001374078,0.04062168,0.000402053,0.00002633246,0.00004653521,0.000005588987,0.000009576836,0.00001968213],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2792042,"threshold_uncertainty_score":0.873312,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1348051428761892,"score_gpt":0.3429916318567197,"score_spread":0.2081864889805305,"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."}}