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Melisa Berardi

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Dec 27, 2023, 6:33:15 PM12/27/23

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Recall that with count data, a common conjugate model is the Gamma-Poisson model, introduced in Section 8.8. Write out the likelihood, the prior distribution, and its posterior distribution under the Gamma-Poisson model.

Suppose one believes that the mean marriage rate differs across the three time periods. Using this belief, model the Italian marriage rates in a hierarchical approach. Write out the likelihood, the prior distributions, and any hyperprior distributions under a hierarchical Gamma-Poisson model.

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Suppose the 10 collected times are observed at 4 different locations, shown in Table 10.8. Use this information, model the times between traffic accidents in a hierarchical approach. Write out the likelihood, the prior distributions, and any hyperprior distributions under a hierarchical Gamma-Exponential model.