Use MCMC to obtain an estimate for the posterior given a normal likelihood, Xi ∼ N(μ, σ) using an uninformative prior

Statistics Nov 18, 2020

Use MCMC to obtain an estimate for the posterior given a normal likelihood, Xi ∼ N(μ, σ) using an uninformative prior. (Generate n = 20 data points from a normal distribution with μ = 1/2, σ = 2.) Plot a histogram of the posterior for the mean and show that it is distributed according to a t-distribution (see Exercise 8.4 on page 255).