Bottom-k-Lists
Articles > Article · 2012
Authors: Agah KOZAN, Halil TANIL
DergiPark (Istanbul University), International, 2012
Summary
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.