SavedAdd your journal

Journals / Türkiye İstatistik Derneği İstatistik Dergisi / 2026 / Volume: 6 Issue: 2

Bottom-k-Lists

Agah Kozan
Halil Tanil
Pages
—
Publication Date
2013-07-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

🎯
Objective & Hypothesis:Consider an infinite sequence of iid continuous random variables.
📊
Key Findings & Data:In this paper, we introduce  duals of top-k-lists which is called ”Bottom-k-lists”.
💡
Conclusion & Impact:In addition, we give a distributional relation between each element of l-th bottom- k-list, ordinary order statistics (oOS), and lower k-records.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.

🔖

Cite This Article

Kozan, A., Tanil, H. (2013). Bottom-k-Lists. Türkiye İstatistik Derneği İstatistik Dergisi, Volume: 6 Issue: 2. https://ajindex.com/articles/1562069

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. Burkschat,M., Cramer. E., Kamps, U., 2003. Dual generalized order statistics. METRON - International Journal of Statistics vol. LXI, n. 1, 13-26.
  2. Burkschat,M., Lenz, B., 2009.Marginal distributions of the counting process associated with generalized order statistics. Communications in Statistics-Theory and Methods 38, 2089-2106.
  3. Erdelyi, A., Magnus,W., Oberhettinger, F. and Tricomi, F., G., 1953. Higher Transcendental Functions, McGraw-Hill, New York.
  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.