Question: Implement the Gibbs sampler for the mixture model. Compute (hat{R}) and the autocorrelation of the component means (mu_{k}). How many samples are required for convergence?

Implement the Gibbs sampler for the mixture model. Compute $\hat{R}$ and the autocorrelation of the component means $\mu_{k}$. How many samples are required for convergence? How much should the samples be thinned?

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