  In this paper, we develop an accurate closed-form analytic expression of the
outage probability for each source-destination (S-D) pair in the two S-D pairs
two relays wireless network, where cooperative network coding is applied over
Nakagami-$m$ fading channels. For different values of the shape parameter $m$,
our analytic relation is validated with Monte-Carlo simulations of the outage
probability using the overall equivalent signal-to-noise ratio (SNR) within
each source-destination pair. The outage probability is also provided for the
extended versions of the network consisting of multiple relays and multiple S-D
pairs. Furthermore, we investigate the role of varying the fading factor ($m$
values) on different links in the end-to-end outage probability performance,
which yields interesting results that may be crucial for relay selection and
power allocation procedures. Moreover, we derive the diversity order for the
generalized extended version of cooperative network coded wireless networks.
