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

Keywords

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  • EP ID EP322657
  • DOI 10.9734/BJMCS/2017/31814
  • Views 110
  • Downloads 0

How To Cite

Ying-Ying Zhang, Wen-He Song, Teng-Zhong Rong (2017). The Posterior Distributions, the Marginal Distributions and the Normal Bayes Estimators of Three Hierarchical Normal Models. Journal of Advances in Mathematics and Computer Science, 20(6), 1-7. https://www.europub.co.uk/articles/-A-322657