Show that, under the hierarchical Bayes model near the end of Section 13.3, the conditional distribution of
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Show that, under the hierarchical Bayes model near the end of Section 13.3, the conditional distribution of θi given A and y is normal with mean equal to the right side of (13.31) with ˆA replaced by A and variance equal to g1i(A) + g2i(A), where g1i(A) and g2i(A) are given by (13.36) and (13.37), respectively.
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