{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00788828,0.000318115,0.0006581811,0.0009158201,0.0001890178,0.0001530548,0.004183874,0.0003652551,0.007157845],"category_scores_gemma":[0.008793178,0.0002106625,0.0002211919,0.00195055,0.003067618,0.0003686383,0.0005926216,0.0002960671,0.0007210383],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001167775,"about_ca_system_score_gemma":0.002583599,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007269019,"about_ca_topic_score_gemma":0.0003122604,"domain_scores_codex":[0.993533,0.0002115909,0.000832206,0.001209137,0.003657852,0.0005562534],"domain_scores_gemma":[0.9962127,0.0008008839,0.0007976167,0.001660997,0.0002404611,0.0002873518],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0001716954,0.000403912,0.0002876963,0.00004158665,0.00004034578,0.00002116143,0.003534404,0.0002893703,0.0004008548,0.4886306,0.3639111,0.1422673],"study_design_scores_gemma":[0.0002477447,0.00007026245,0.0001116578,0.00006846825,0.00001498755,0.000002652881,0.00006567615,0.00001066078,0.0001484375,0.4681627,0.5308429,0.0002538865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0003758721,0.0003306599,0.004402477,0.0001639926,0.003878908,0.0003923285,0.00006066046,0.0001042493,0.9902909],"genre_scores_gemma":[0.01947124,0.0005951205,0.007247711,0.0001005893,0.001461161,0.00001377404,0.00000380251,0.0001373795,0.9709692],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1669318,"threshold_uncertainty_score":0.9996455,"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."}}