  Motivated by the need, in some Bayesian likelihood free inference problems,
of imputing a multivariate counting distribution based on its vector of means
and variance-covariance matrix, we define a generic multivariate discrete
distribution. Based on blending the Binomial, Poisson and Negative-Binomial
distributions, and using a normal multivariate copula, the required
distribution is defined. This distribution tends to the Multivariate Normal for
large counts and has an approximate pmf version that is quite simple to
evaluate.
