In this work, we consider two sets of dependent variables
$\{X_{1},\ldots,X_{n}\}$ and $\{Y_{1},\ldots,Y_{n}\}$, where $X_{i}\sim
EW(\alpha_{i},\lambda_{i},k_{i})$ and $Y_{i}\sim EW(\beta_{i},\mu_{i},l_{i})$,
for $i=1,\ldots, n$, which are coupled by Archimedean copulas having different
generators. Also, let $N_{1}$ and $N_{2}$ be two non-negative integer-valued
random variables, independent of $X_{i}'$s and $Y_{i}'$s, respectively. We then
establish different inequalities between two extremes, namely, $X_{1:n}$ and
$Y_{1:n}$ and $X_{n:n}$ and $Y_{n:n}$, in terms of the usual stochastic, star,
Lorenz, hazard rate, reversed hazard rate and dispersive orders. We also
establish some ordering results between $X_{1:{N_{1}}}$ and $Y_{1:{N_{2}}}$ and
$X_{{N_{1}}:{N_{1}}}$ and $Y_{{N_{2}}:{N_{2}}}$ in terms of the usual
stochastic order. Several examples and counterexamples are presented for
illustrating all the results established here. Some of the results here extend
the existing results of Barmalzan et al. (2020).