  The stochastic comparisons of parallel and series system are worthy of study.
In this paper, we present some stochastic comparisons of parallel and series
systems having independent components from Gumble distribution with two
parameters (one location and one shape). Here, we first put a condition for the
likelihood ratio ordering of the parallel systems and second we use the concept
of vector majorization technique to compare the systems by the reversed hazard
rate ordering, the hazard rate ordering, the dispersive ordering, and the less
uncertainty ordering with respect to the location parameter.
