Question: 9. In Example 6.8 (galaxy clusters) consider the ratio of posterior mean of M to its prior mean, as defined by the prior on the

9. In Example 6.8 (galaxy clusters) consider the ratio of posterior mean of M∗ to its prior mean, as defined by the prior on the DPP concentration parameter α. What is the impact on this ratio of increasing M (the maximum clusters under a truncated DPP) to 20 and what is the impact of combining M = 20 with a G(3, 1) prior on α, consistent with a prior mean M∗ = 10?

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