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  • Türkiye İstatistik Derneği Dergisi
  • Volume:6 Issue:2
  • Bottom-k-Lists

Bottom-k-Lists

Authors : Agah KOZAN, Halil TANİL
Pages : 73-79
View : 19 | Download : 8
Publication Date : 2013-07-01
Article Type : Research Paper
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  insert ignore into journalissuearticles values(pdf); of the ordered elements of `th bottom-k-list and its relation with the joint pdf of dual insert ignore into journalissuearticles values(lower); generalized  order statistics insert ignore into journalissuearticles values(dGOS);. In addition, we give a distributional relation between each element of l-th bottom- k-list, ordinary order statistics insert ignore into journalissuearticles values(oOS);, and lower k-records.
Keywords : Lower k records, Bottom k lists, Dual generalized order statistics, Meijers G function, Ordinary order statistics

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