{"id":"W2133404232","doi":"10.1017/s0269964811000234","title":"MONOTONICITY PROPERTIES OF RESIDUAL LIFETIMES OF PARALLEL SYSTEMS AND INACTIVITY TIMES OF SERIES SYSTEMS WITH HETEROGENEOUS COMPONENTS","year":2011,"lang":"en","type":"article","venue":"Probability in the Engineering and Informational Sciences","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Monotonic function; Residual; Series (stratigraphy); Independent and identically distributed random variables; Stochastic ordering; Series and parallel circuits; Hazard; Computer science; Mathematics; Applied mathematics; Algorithm; Statistics; Random variable; Mathematical analysis; Thermodynamics; Physics; Chemistry","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":[0.00579523,0.0006433761,0.0007161365,0.001131783,0.0004842544,0.001188712,0.001593877,0.0006716483,0.004230059],"category_scores_gemma":[0.0322604,0.0003041078,0.0009953333,0.0006983548,0.002062453,0.004417082,0.001198016,0.002180765,0.0003458524],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000992356,"about_ca_system_score_gemma":0.001176627,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001287387,"about_ca_topic_score_gemma":0.0007321914,"domain_scores_codex":[0.9984761,0.0003991162,0.0001548245,0.0003968556,0.0003656605,0.0002074596],"domain_scores_gemma":[0.9689756,0.01863111,0.005277672,0.002555504,0.003589366,0.000970686],"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":[0.0003662977,0.0001463559,0.02086208,0.0005653811,0.0001331648,0.0007352373,0.001190856,0.1174443,0.02646867,0.7889011,0.001244704,0.04194184],"study_design_scores_gemma":[0.0000431488,0.0004044986,0.01406701,0.00007319692,0.0001364003,0.000993791,0.0004369166,0.580551,0.01121694,0.3882298,0.003748258,0.00009921267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3430711,0.0009978787,0.6432822,0.0008698109,0.0000727027,0.0001316218,0.0005597838,0.0002346453,0.01078012],"genre_scores_gemma":[0.9535238,0.0006532166,0.04140495,0.0001265386,0.0001205748,0.0001766903,0.0004215402,0.0001030313,0.003469621],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00579523,"threshold_uncertainty_score":0.03064847,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08564466059029519,"score_gpt":0.260257753170744,"score_spread":0.1746130925804488,"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."}}