  In this paper, we have discussed the usual stochastic ordering relations
between two systems. Each system consists of n mutually independent components.
The components follow Exponentiated (Extended) Chen distribution with three
parameters $\alpha, \beta, \lambda$. Two popular systems are taken into
consideration, one is the series system and another is the parallel system. The
results in this paper are obtained by varying one parameter and the other
parameters are kept constant. The hazard rate ordering or reversed hazard rate
ordering relations that are not possible for series or parallel systems have
been demonstrated with the help of counterexamples.
