Kozan, AgahUyar, BurakTanil, Halil2024-08-312024-08-3120240932-50261613-9798https://doi.org/10.1007/s00362-024-01581-xhttps://hdl.handle.net/11454/104736Similar 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.en10.1007/s00362-024-01581-xinfo:eu-repo/semantics/openAccessExceedance StatisticsBottom-K-ListsOrder StatisticsRecord ValuesHypothesis TestingArticleWOS:0012772202000012-s2.0-85199492931Q2N/A