On the moments of order statıstıcs from dıscrete dıstrıbutıons

Abstract

This paper, the thmraw moments of order statistics from discrete distributions are obtained. By using the thmraw moments, a relation between the moments of sample maximum of order statistics from a discrete uniform distribution and the sum 1,S N nis obtained. It is shown that with the help of this relation, one can obtain all the moments for sample maximum of order statistics from a discrete uniform distribution. By using MATLAB, we compute the means and variances of the sample maximum order statistics for sample size N= 10(10)50(50)100 andn= 1(1)10. Further studies may focus on a software program computing the means and variances of sample maximum of order statistics from any discrete distributions.