{"id":"W3010914133","doi":"10.1007/s10959-020-01000-5","title":"Products of Conditional Expectation Operators: Convergence and Divergence","year":2020,"lang":"en","type":"article","venue":"Journal of Theoretical Probability","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University","funders":"China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Omega; Conditional expectation; Conjecture; Regular conditional probability; Divergence (linguistics); Conditional probability distribution; Combinatorics; Random variable; Probability measure; Space (punctuation); Discrete mathematics; Physics; Quantum mechanics; Statistics","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":[0.01565133,0.001488017,0.0019538,0.003938034,0.001566725,0.006327285,0.003034616,0.003269593,0.00516272],"category_scores_gemma":[0.04995281,0.001442323,0.002140566,0.002993176,0.008338317,0.02322035,0.005987344,0.005920496,0.0005618795],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002056039,"about_ca_system_score_gemma":0.001773243,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001212207,"about_ca_topic_score_gemma":0.0007703347,"domain_scores_codex":[0.9954526,0.002340492,0.0003415955,0.0007713729,0.0008416293,0.000252303],"domain_scores_gemma":[0.9413367,0.04585151,0.00252542,0.002615291,0.005194282,0.002476873],"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":[0.00002166981,0.00001452488,0.0002029506,0.00003178259,0.00001321409,0.00003811994,0.0001728612,0.001113239,0.0001911278,0.9956885,0.0002801968,0.002231821],"study_design_scores_gemma":[0.00000682605,0.00002233389,0.0001622822,0.00001610765,0.000009717514,0.0001368013,0.00005721948,0.02284067,0.00016588,0.9759017,0.0006651685,0.00001531807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08822156,0.003553854,0.8907421,0.002634078,0.0004472378,0.00003373087,0.0002042009,0.0001632539,0.01400004],"genre_scores_gemma":[0.8026481,0.005930397,0.1641264,0.001167002,0.001713566,0.0002259336,0.0005918521,0.0005930301,0.02300385],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01565133,"threshold_uncertainty_score":0.08277315,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05169378059269823,"score_gpt":0.2978071715001703,"score_spread":0.2461133909074721,"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."}}