Bottom-k-Lists

Yıl 2013, Cilt: 6 Sayı: 2, 73 - 79, 01.07.2013

Agah Kozan Halil Tanil

Öz

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.

Anahtar Kelimeler

Lower k-records, Bottom-k-lists, Dual generalized order statistics, Meijer’s G function, Ordinary order statistics

Kaynakça

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