Consider the bioassay example introduced in section 37 use

Question

Importance resampling with and without replacement:

(a) Consider the bioassay example introduced in Section 3.7. Use importance resampling to approximate draws from the posterior distribution of the parameters (α, β), using the normal approximation of Section 4.1 as the starting distribution. Compare your simulations of (α, β) to Figure 3.4b and discuss any discrepancies.

(b) Comment on the distribution of the simulated importance ratios.

(c) Repeat part (a) using importance sampling with replacement. Discuss how the results differ.

Figure 3.4b