Question: 11. In the previous problem, replace the third-stage prior given above with b1 G(c1, d1), b2 G(c2, d2), b1 and b2 independent, thus

11. In the previous problem, replace the third-stage prior given above with b1 ∼ G(c1, d1), b2 ∼ G(c2, d2), b1 and b2 independent, thus destroying the conjugacy for these two complete conditionals. Resort to rejection or Metropolis-Hastings subsampling for these two components instead, choosing appropriate values for c1, c2, d1, and d2. What is the effect on the posterior for b1 and b2? For R? For k?

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