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In this paper, we present methods of obtaining single moments of orderstatistics arising from posibly dependent and non-identically distributeddiscrete random variables. We derive exact and approximate formulas convenientfor numerical evaluation of such moments. To demonstrate their use, we tabulatemeans and second moments of order statistics from random vectors having sometypical discrete distributions with selected parameter values. Next, we applyour results in reliability theory. We establish moments of discrete lifetimesof coherent systems consisting of heterogeneous and not necessarilyindependently working components. In particular, we obtain expression forexpectations and variances of lifetimes of such systems. We give someillustrative examples.

Moments of order statistics from DNID discrete random variables with application in reliability