The Posterior Distributions, the Marginal Distributions and the Normal Bayes Estimators of Three Hierarchical Normal Models
Ying-Ying Zhang, Wen-He Song, Teng-Zhong Rong
Journal of Advances in Mathematics and Computer Science · pp. 1–7 · Published 7 Mar 2017
10.9734/BJMCS/2017/31814Abstract
We calculate the posterior distributions, the marginal distributions and the normal Bayes estimators of three hierarchical normal models in the same manner. The three models are displayed in increasing complexity. We find that the posterior distributions and the marginal distributions are all normal distributions. We also obtain the normal Bayes estimators under the squared error loss function.
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