Bottom-k-Lists
Authors : Agah Kozan, Halil Tanil
Pages : 73-79
View : 9 | Download : 4
Publication Date : 2013-07-01
Article Type : Research
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.Keywords : Lower k-records, Bottom-k-lists, Dual generalized order statistics, Meijer’s G function, Ordinary order statistics