Derive a Gibbs sampling scheme for inference in the Hierarchical Dirichlet process. Assume that the base distribution is Gaussian (left(H=mathcal{N}left(mu_{0}, sigma_{0}^{2} ight) ight)) and the

Derive a Gibbs sampling scheme for inference in the Hierarchical Dirichlet process. Assume that the base distribution is Gaussian \(\left(H=\mathcal{N}\left(\mu_{0}, \sigma_{0}^{2}\right)\right)\) and the observations are one-dimensional real values.