{"id":"W2187936456","doi":"","title":"Almost Sure Limit Behavior of Discrete Random Sequence with Application to Arbitrary Information Sources","year":2008,"lang":"en","type":"article","venue":"","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Limit (mathematics); Measure (data warehouse); Random variable; Sequence (biology); Probability measure; Logarithm; Probability mass function; Large deviations theory; Random sequence; Discrete mathematics; Applied mathematics; Statistics; Statistical physics; Mathematical analysis; Computer science; Data mining; Distribution (mathematics)","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":[0.008970681,0.001083175,0.001343198,0.002614946,0.0008517019,0.002730363,0.002257175,0.001839749,0.00204644],"category_scores_gemma":[0.05604291,0.0007102343,0.00144166,0.001337378,0.003684895,0.007734502,0.003389721,0.002647728,0.0003295072],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001846114,"about_ca_system_score_gemma":0.0008690638,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005363012,"about_ca_topic_score_gemma":0.0002454474,"domain_scores_codex":[0.9958332,0.00172166,0.0002460098,0.0007477528,0.001195599,0.0002559239],"domain_scores_gemma":[0.9721987,0.02056835,0.002568812,0.001349343,0.002179537,0.001135236],"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":[0.00008616841,0.0000383324,0.000981384,0.0002230086,0.00005943531,0.0005583907,0.0003561979,0.05066114,0.005247888,0.9323793,0.0004063823,0.009002306],"study_design_scores_gemma":[0.00002314054,0.00009732855,0.0004665942,0.00004627775,0.00002642581,0.0006115247,0.00007281887,0.6332699,0.002507957,0.3619048,0.0009188481,0.00005431982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.065265,0.001093569,0.9260029,0.0008300642,0.00006482159,0.00004816387,0.00007020311,0.0002995886,0.006325778],"genre_scores_gemma":[0.8571745,0.001497595,0.1355363,0.0003789775,0.0002138121,0.0002853893,0.0001716096,0.0002307248,0.004511059],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008970681,"threshold_uncertainty_score":0.04744202,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0752547819862438,"score_gpt":0.331507317509916,"score_spread":0.2562525355236722,"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."}}