{"id":"W4280625434","doi":"10.1017/s0269964822000122","title":"On approximation of the analytic fixed finite time large <i>t</i> probability distributions in an extreme renewal process with no-mean inter-renewals","year":2022,"lang":"en","type":"article","venue":"Probability in the Engineering and Informational Sciences","topic":"Insurance, Mortality, Demography, Risk Management","field":"Social Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University; University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Renewal theory; Limiting; Probability density function; Pareto principle; Applied mathematics; Computation; Statistical physics; Statistics; Physics; Algorithm","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":[0.002006011,0.0004501574,0.0005475205,0.001261993,0.0004738692,0.00114095,0.00157618,0.0007905987,0.001996157],"category_scores_gemma":[0.00807954,0.0002445171,0.0007608721,0.000613871,0.002305438,0.001591437,0.000999895,0.001454129,0.0003087134],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001542054,"about_ca_system_score_gemma":0.0007294077,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004238855,"about_ca_topic_score_gemma":0.001473502,"domain_scores_codex":[0.99954,0.000130134,0.00001952034,0.00006364571,0.000154482,0.00009229283],"domain_scores_gemma":[0.9980076,0.001051742,0.0002819202,0.000149355,0.0003931575,0.0001161651],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004367473,0.00004333394,0.002048501,0.00007437333,0.00001936637,0.0005472595,0.0003023857,0.5097628,0.003252044,0.4741388,0.0007205506,0.009046824],"study_design_scores_gemma":[0.000003516448,0.00001069948,0.0003572155,0.00002119153,0.000005057228,0.00009893423,0.00006869698,0.9521929,0.0006629365,0.04588605,0.0006795968,0.00001321892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1261128,0.0003843172,0.859305,0.0003764567,0.00005690984,0.00004143543,0.00005767956,0.0002250993,0.01344025],"genre_scores_gemma":[0.9565052,0.000419449,0.03852556,0.0001285389,0.00003507943,0.00006260661,0.00008879883,0.00007475914,0.004159915],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004238855,"threshold_uncertainty_score":0.01118851,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01971040609518772,"score_gpt":0.2533820935514902,"score_spread":0.2336716874563025,"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."}}