  The statistical distribution of the ratio of two normal random variables is
characterized by its heavy-tailed nature and absence of finite moments. The
shape of its density function is highly variable, capable of exhibiting
unimodal or bimodal and symmetrical or asymmetrical structures, and, in certain
regions proximal to its mode, it may approximate the characteristics of a
normal distribution. Several investigations have proffered diverse
representations of the cumulative distribution function utilizing the framework
of the bivariate normal distribution and Nicholson's V function. The purpose of
this paper is to extend these results to the multivariate case and derive its
distribution function. We call this distribution multivariate normal-ratio
distribution.
