  In this work, the product of two independent and non-identically distributed
(i.n.i.d) $\kappa - \mu $ shadowed random variables is studied. We derive the
series expression for the probability density function (PDF), cumulative
distribution function (CDF), and moment generating function (MGF) of the
product of two (i.n.i.d) $\kappa - \mu $ shadowed random variables. The derived
formulation in this work is quite general as they incorporate most of the
typically used fading channels. As an application example, outage probability
(OP) has been derived for cascaded wireless systems and relay-assisted
communications with a variable gain relay. Extensive Monte-Carlo simulations
have also been carried out.
