In: Statistics and Probability
For normal data with unknown mean µ and σ^2, we use the prior f (µ, log(σ)) = 1.
23 data points: 5.36 5.29 5.58 5.65 5.57 5.53 5.62 5.29 5.44 5.34 5.79 5.1 5.27 5.39 5.42 5.47 5.63 5.34 5.46 5.3 5.75 5.68 5.85
Q. Draw sample (or theoretical) posterior joint pdf of (µ, σ^2), marginal pdf of µ, marginal pdf of σ^2, and posterior predictive pdf.