  In this paper we consider the product of a singular Wishart random matrix and
a singular normal random vector. A very useful stochastic representation is
derived for this product, using which the characteristic function of the
product and its asymptotic distribution under the double asymptotic regime are
established. The application of obtained stochastic representation speeds up
the simulation studies where the product of a singular Wishart random matrix
and a singular normal random vector is present. We further document a good
performance of the derived asymptotic distribution within a numerical
illustration. Finally, several important properties of the singular Wishart
distribution are provided.
