MultivariatePoissonDistribution
MultivariatePoissonDistribution[μ0, {μ1, μ2, ...}] represents a multivariate Poisson distribution with mean vector {μ0 + μ1, μ0 + μ2, ...}.
Examples
dist = MultivariatePoissonDistribution[1, {2, 3}]Mean[dist]Please visit the official Wolfram Language Reference for more details.