{"id":"W118748914","doi":"10.1007/978-1-4613-0111-0_9","title":"Defective renewal equations","year":2001,"lang":"en","type":"book-chapter","venue":"Lecture notes in statistics","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Geometric distribution; Connection (principal bundle); Mathematics; Queueing theory; Geometric probability; Distribution (mathematics); Renewal theory; Expression (computer science); Geometric progression; Master equation; Applied mathematics; Geometric series; Probability distribution; Mathematical analysis; Computer science; Combinatorics; Geometry; Statistics; Physics","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","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001127818,0.0003824955,0.0006400243,0.000435149,0.0001580897,0.000157399,0.0006537009,0.0006338057,0.001916397],"category_scores_gemma":[0.0128149,0.000299064,0.0001471319,0.0002197157,0.0003213978,0.00008035295,0.0001648481,0.0008607364,0.0005882325],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002321768,"about_ca_system_score_gemma":0.0003080211,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001097507,"about_ca_topic_score_gemma":0.006369389,"domain_scores_codex":[0.9964435,0.0001295856,0.0009331537,0.0008287971,0.00132628,0.000338725],"domain_scores_gemma":[0.9857945,0.01227091,0.0004023898,0.0009014992,0.0005170386,0.0001135983],"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":[0.00003682647,0.00003433828,0.0001498613,0.00001052994,0.00003035725,0.00008872252,0.0006920568,0.02359572,0.000002693976,0.750702,0.001510278,0.2231466],"study_design_scores_gemma":[0.0001698717,0.00007055508,0.00003653584,0.00005109472,0.00003644095,0.000008821921,0.000002979294,0.006296066,0.000008858779,0.9490888,0.0439042,0.0003257696],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.000006833424,0.0004720836,0.791861,0.0002299456,0.0004274551,0.0002878774,0.001185306,0.00003152507,0.205498],"genre_scores_gemma":[0.3227313,0.001456602,0.3691998,0.002789107,0.001960024,0.00009054322,0.001070756,0.0003599547,0.300342],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4226612,"threshold_uncertainty_score":0.9999462,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1317787470076032,"score_gpt":0.3817506749713828,"score_spread":0.2499719279637796,"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."}}