monte carlo simulation

Problem 1 Part (a) Acceptance-rejection sampler Metropolis-Hastings algorithm Part (b) Part (c) Problem 2 (Problem 7.1) Part (a) Part (b) Numerical imprecision Part (c) Part (d) Part (e) Problem 3 Part (a) Part (b) Distribution of $\mu |(\tau ,\overrightarrow{x})$ Distribution of $\tau |(\mu ,\overrightarrow{x})$ Part (c) Additional analysis Problem 1 Use Metropolis Hasting algorithm to generate $Y\sim \mathrm{GAM}(\alpha ,1)$, where $\alpha >1$.