{"id":"W4236319758","doi":"10.1017/s0021900200006690","title":"On the number of runs for Bernoulli arrays","year":2010,"lang":"en","type":"article","venue":"Journal of Applied Probability","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada; Université de Sherbrooke","keywords":"Mathematics; Multinomial distribution; Row; Bernoulli's principle; Independent and identically distributed random variables; Combinatorics; Bernoulli trial; Row and column spaces; Sampling (signal processing); Statistics; Random variable; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.02568699,0.001661066,0.003076291,0.003874875,0.002375281,0.005828731,0.007144223,0.004293513,0.009399767],"category_scores_gemma":[0.1359639,0.002091427,0.002179628,0.003560602,0.01057715,0.01590094,0.005012821,0.005816104,0.001629998],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003164607,"about_ca_system_score_gemma":0.001865059,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001746123,"about_ca_topic_score_gemma":0.001606917,"domain_scores_codex":[0.985986,0.007032495,0.0007061023,0.003156331,0.002152159,0.0009670262],"domain_scores_gemma":[0.7813441,0.1903046,0.009864358,0.0105871,0.004778734,0.003121064],"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":[0.0002329689,0.00007951056,0.004370735,0.000178436,0.00006043113,0.000201572,0.0007307152,0.0750604,0.001727299,0.9010742,0.00181041,0.01447335],"study_design_scores_gemma":[0.00005040014,0.000101582,0.001020325,0.000136639,0.00003735244,0.0003191852,0.0001435159,0.4638924,0.001090365,0.5308301,0.002281455,0.00009679011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04745743,0.001294113,0.9433292,0.001561116,0.0001154392,0.0001603824,0.0003194214,0.0003509371,0.005411971],"genre_scores_gemma":[0.5425879,0.003278966,0.4283522,0.001126498,0.001082719,0.002254376,0.001579313,0.001059889,0.01867815],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02568699,"threshold_uncertainty_score":0.1358474,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01965533131816206,"score_gpt":0.279054144279261,"score_spread":0.259398812961099,"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."}}