Multivariate normal density
= Multivariate normal density
= Gaussian density
{c}
{synonym}
For a <positive-definite matrix> $\Sigma$, the distribution $N_p(\mu,\Sigma)$ has density
$$
f(x)=\frac{
\exp\!\left[-\frac12(x-\mu)^T\Sigma^{-1}(x-\mu)\right]
}{(2\pi)^{p/2}(\det\Sigma)^{1/2}}.
$$