  We propose some new results on the comparison of the minimum or maximum order
statistic from a random number of non-identical random variables. Under the
non-identical set-up, with certain conditions, we prove that random minimum
(maximum) of one system dominates the other in hazard rate (reversed hazard
rate) order. Further, we prove variation diminishing property (Karlin [8]) for
all possible restrictions to derive the new results.
