{"id":"W4237514945","doi":"10.1002/9780470012505.tar022","title":"Renewal Theory","year":2004,"lang":"en","type":"other","venue":"Encyclopedia of Actuarial Science","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Renewal theory; Independent and identically distributed random variables; Homogeneous; Sequence (biology); Mathematics; Mathematical economics; Random variable; Portfolio; Type (biology); Computer science; Econometrics; Applied mathematics; Statistics; Economics; Combinatorics; Biology; Financial economics; Genetics","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":[0.0009333102,0.000606063,0.0007635542,0.001333923,0.0006830505,0.002410559,0.0009616626,0.00161757,0.01121124],"category_scores_gemma":[0.002235722,0.0002106036,0.0006554939,0.0009114858,0.002257835,0.002332325,0.001049357,0.001819324,0.002140054],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001597547,"about_ca_system_score_gemma":0.0008737819,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001526934,"about_ca_topic_score_gemma":0.0006578555,"domain_scores_codex":[0.9993205,0.0001746111,0.00002961082,0.0001229511,0.0002747965,0.00007750872],"domain_scores_gemma":[0.9990931,0.0003946231,0.00007183278,0.0001498,0.0002277961,0.00006285727],"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":[0.000001489501,0.000003297085,0.000050415,0.00001473321,0.000002985414,0.0000183702,0.00002370526,0.002373165,0.00006764441,0.9926429,0.001912834,0.002888472],"study_design_scores_gemma":[0.000003756205,0.000006598629,0.00007515105,0.00002683905,0.000003463271,0.00006348748,0.00001690595,0.01645908,0.00007959834,0.9643921,0.01886793,0.000005207952],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.01819613,0.01412892,0.5127016,0.007185529,0.001233587,0.0001014253,0.0006678836,0.0003141426,0.4454708],"genre_scores_gemma":[0.7557255,0.01530581,0.05680619,0.002052644,0.002860616,0.0002779474,0.0007927698,0.0001538261,0.1660246],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.01121124,"threshold_uncertainty_score":0.03750533,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03980530649530778,"score_gpt":0.3507512382165917,"score_spread":0.3109459317212839,"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."}}