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Dergiler / Istatistik Journal of The Turkish Statistical Association / 2026 / Volume: 6 Issue: 2

Bottom-k-Lists

Agah Kozan
Halil Tanil
Sayfa
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Yayın Tarihi
2013-07-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In addition, we give a distributional relation between each element of l-th bottom- k-list, ordinary order statistics (oOS), and lower k-records.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Consider an infinite sequence of iid continuous random variables.
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Temel Bulgular & Veri:In this paper, we introduce  duals of top-k-lists which is called ”Bottom-k-lists”.
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Sonuç & Katkı:In addition, we give a distributional relation between each element of l-th bottom- k-list, ordinary order statistics (oOS), and lower k-records.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lower k-records · Bottom-k-lists · Dual generalized order statistics

Abstract

Consider an infinite sequence of iid continuous random variables. In this paper, we introduce  duals of top-k-lists which is called ”Bottom-k-lists”. We also derive the joint probability density function  (pdf) of the ordered elements of `th bottom-k-list and its relation with the joint pdf of dual (lower) generalized  order statistics (dGOS). In addition, we give a distributional relation between each element of l-th bottom- k-list, ordinary order statistics (oOS), and lower k-records.

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Bu Makaleye Atıf Yap

Kozan, A., Tanil, H. (2013). Bottom-k-Lists. Istatistik Journal of The Turkish Statistical Association, Volume: 6 Issue: 2. https://ajindex.com/articles/1636515

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Kaynakça (10)

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  4. L´opez-Bl´azques, F., Weso lowski, J., 2007. Top-k-lists. Metrika 65, 69-82.
  5. Luke, Y., L., 1969. The Special Functions and Their Approximations, Academic Press, New York.
  6. Mathai, A., M., 1993. A Handbook of Generalized Special Functions for Statistical and Physical Sciences, Clarendon Press, Oxford.
  7. Mathai, A., M. and Haubold, H. J., 2008. Special Functions for Applied Scientists, Springer, New York.
  8. Pawlas, P., Szynal, D., 1998. Relations for single and product moments of k-th record values from exponential and Gumbel distributions, J. Appl. Statist. Sci. 7, 53-61.
  9. Pawlas, P., Szynal, D., 2001. Recurrence relations for single and product moments of lower generalized order statistics from the inverse Weibull distribution, Demonstratio Mathematica 34(2), 353-358.
  10. Tanil, H., 2009. An order statistics model based on the list of top m scores after `th change, J. Statist. Plann. Infer., 139, 2189-2195.