Kozan, AgahUyar, BurakTanil, Halil2025-05-102025-05-1020240932-50261613-979810.1007/s00362-024-01581-x2-s2.0-85199492931https://doi.org/10.1007/s00362-024-01581-xhttps://hdl.handle.net/20.500.14720/10821Uyar, Burak/0000-0002-3178-4157; Tanil, Halil/0009-0005-9226-7718; Kozan, Agah/0000-0002-7387-9701; Tanil, Halil/0000-0001-5402-8859Similar to usual lower records, Bottom-k-lists (Kozan and Tanil, & Idot;statistik J Turk Stat Assoc 13:73-79, 2013) have a wide range of practical applications in meteorology, hydrology, sports, etc. Also, exceedance statistics can be viewed as a close relative to tolerance limits-an important field of statistical science. In this study, an idea of combining these two important subjects together is studied and an exceedance statistic is defined based on bottom-k-lists in an independent and identically distributed (iid) continuous random sequence. Probability mass function (pmf) of a selected exceedance statistic is obtained. Also, an illustrative application of the exceedance statistic is given.eninfo:eu-repo/semantics/openAccessExceedance StatisticsBottom-K-ListsOrder StatisticsRecord ValuesHypothesis TestingArticle658Q3Q252395251WOS:001277220200001