The Posterior Distributions, the Marginal Distributions and the Normal Bayes Estimators of Three Hierarchical Normal Models
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 20, Issue 6
Abstract
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 nd 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.
Authors and Affiliations
Ying-Ying Zhang, Wen-He Song, Teng-Zhong Rong
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