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The present communication is devoted to some ordering results on extremes of two sets of independent heterogeneous random samples. We assume that the samples are taken from inverse Kumaraswamy distribution. The purpose of this communication is two-fold. First, we consider stochastic comparison between two systems when the associated systems’ components do not receive random shocks. Second, we consider similar problem when the components undergo random shocks. We derive majorization-type partial order based sufficient conditions for the comparisons of the extreme order statistics in the sense of various stochastic orders such as the usual stochastic, likelihood ratio and hazard rate orders. Several examples are constructed to illustrate the established results.

Ordering results on extremes of inverse Kumaraswamy random samples