{"id":"W1992834162","doi":"10.1239/aap/1127483746","title":"On the number and sum of near-record observations","year":2005,"lang":"en","type":"article","venue":"Advances in Applied Probability","topic":"Probability and Risk Models","field":"Decision Sciences","cited_by":36,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Independent and identically distributed random variables; Sequence (biology); Combinatorics; Random variable; Function (biology); Distribution (mathematics); Statistics; Discrete mathematics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003703704,0.0001413334,0.0002966751,0.00003356896,0.000172296,0.00006138207,0.0005863894,0.00007844857,0.0002484173],"category_scores_gemma":[0.001787364,0.00008177751,0.0000611841,0.0006298033,0.0007608781,0.0003599974,0.0001579722,0.0002400695,0.00007347621],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005392716,"about_ca_system_score_gemma":0.0000624111,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002798627,"about_ca_topic_score_gemma":0.0008549347,"domain_scores_codex":[0.9976569,0.0001849735,0.0007596572,0.000557354,0.0006127994,0.0002282699],"domain_scores_gemma":[0.9949369,0.003766203,0.0002108069,0.0009197452,0.0001109773,0.00005535189],"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":[0.0001177273,0.000271255,0.1020635,0.00001571725,0.000003337739,1.105766e-7,0.0006023315,0.01039157,0.00006241692,0.6771666,0.0001441915,0.2091612],"study_design_scores_gemma":[0.000203331,0.00001927561,0.03393713,0.000008820655,0.000002547339,4.383194e-7,0.00008334108,0.003715521,0.0003059704,0.9375732,0.02405342,0.00009703192],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9709696,0.0001686655,0.002631946,0.002997823,0.00008672619,0.0006804744,0.00001540582,0.00002422699,0.02242515],"genre_scores_gemma":[0.9772006,0.00006888128,0.02215922,0.0003606552,0.00002206666,0.0001000896,9.926744e-7,0.000005327226,0.00008212854],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2604065,"threshold_uncertainty_score":0.333479,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09653840341469279,"score_gpt":0.3600017677897525,"score_spread":0.2634633643750597,"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."}}