MultivariateTDistribution
MultivariateTDistribution[Σ, ν] represents the multivariate Student t distribution with scale matrix Σ and degrees of freedom parameter ν.
MultivariateTDistribution[μ, Σ, ν]represents the multivariate Student t distribution with location μ, scale matrix Σ, and ν degrees of freedom.
Examples
dist = MultivariateTDistribution[{{1, 0.5}, {0.5, 1}}, 5];
PDF[dist, {x, y}]Please visit the official Wolfram Language Reference for more details.