En Düşük k listelerine Dayalı Aşan İstatistikler

Creative Commons License

Kozan A., Uyar B., Tanıl H.

STATISTICAL PAPERS, cilt.65, sa.8, ss.5239-5251, 2024 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 8
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s00362-024-01581-x
  • Dergi Adı: STATISTICAL PAPERS
  • Derginin Tarandığı İndeksler: 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
  • Sayfa Sayıları: ss.5239-5251
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.