{"id":"W2090072844","doi":"10.1007/s10959-011-0353-8","title":"Strassen-Type Law of the Iterated Logarithm for Self-normalized Sums","year":2011,"lang":"en","type":"article","venue":"Journal of Theoretical Probability","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Eli Lilly and Company","keywords":"Strassen algorithm; Law of the iterated logarithm; Mathematics; Iterated logarithm; Logarithm; Type (biology); Independent and identically distributed random variables; Random variable; Sequence (biology); Iterated function; Combinatorics; Natural logarithm; Domain (mathematical analysis); Discrete 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00459128,0.0007742484,0.001302892,0.00260854,0.001080995,0.004171669,0.001928292,0.002035298,0.007851334],"category_scores_gemma":[0.02438522,0.000498476,0.001450997,0.001807839,0.005375173,0.009255998,0.002175283,0.003738678,0.00115314],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001454239,"about_ca_system_score_gemma":0.00140519,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000618775,"about_ca_topic_score_gemma":0.0005501788,"domain_scores_codex":[0.9980012,0.000822226,0.0001255501,0.0002448326,0.0006402297,0.0001661056],"domain_scores_gemma":[0.9915547,0.00553104,0.0004543897,0.001051472,0.0009816249,0.0004267468],"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":[0.000005687367,0.000008211269,0.00008413896,0.00002174246,0.00000763096,0.00003389923,0.00004866484,0.001414833,0.000146976,0.9956358,0.0005006235,0.002091754],"study_design_scores_gemma":[0.000003244066,0.000004254495,0.00005994701,0.000009633351,0.00000332106,0.00007308528,0.000009383454,0.0106696,0.0001004878,0.9883763,0.0006834483,0.000007255107],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09389707,0.005697155,0.7760681,0.004938674,0.0008243355,0.00007837496,0.0002777855,0.0003297297,0.1178888],"genre_scores_gemma":[0.871551,0.003802112,0.07691397,0.0009647589,0.001449711,0.0001870786,0.0002018657,0.0002408367,0.04468871],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007851334,"threshold_uncertainty_score":0.02626532,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1452062056124414,"score_gpt":0.3561520120349259,"score_spread":0.2109458064224844,"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."}}