Exceedance statistics based on bottom-k-lists

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Kozan A., Uyar B., Tanıl H.

STATISTICAL PAPERS, vol.65, no.8, pp.5239-5251, 2024 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 65 Issue: 8
  • Publication Date: 2024
  • Doi Number: 10.1007/s00362-024-01581-x
  • Journal Name: STATISTICAL PAPERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, IBZ Online, International Bibliography of Social Sciences, ABI/INFORM, Aerospace Database, Business Source Elite, Business Source Premier, Communication Abstracts, EconLit, zbMATH
  • Page Numbers: pp.5239-5251
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

Similar to usual lower records, Bottom-k-lists (Kozan and Tanil 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.