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
Related Articles
- EP ID EP322657
- DOI 10.9734/BJMCS/2017/31814
- Views 107
- Downloads 0
Soliton Solutions for Time Fractional Hamiltonian System
In this paper, soliton solutions of a fractional partial differential equations using modified extended tanh method with Riccati equation have been proposed. This method is applied to obtain solitary wave solution for th...
General Version of Gauss-type Proximal Point Method and Its Uniform Convergence Analysis for Metrically Regular Mappings
We study the uniform convergence of the general version of Gauss-type proximal point algorithm (GG-PPA), introduced by Alom et al. [1], for solving the parametric generalized equations y ∈ T(x), where T : X 2Y is a set...
Breaking of Spiral Waves Due to Obstacles
A spiral wave, which is a self-sustaining wave, is believed to be the source of certain types of arrhythmias, which can lead to fibrillation. In this paper, we study a generic model for the propagation of electrical impu...
1P-ABC, a Simpli ed ABC Variant for Continuous Optimization Problems
In this paper a novel simpli ed and fast variant of the ABC algorithm is proposed, 1 Population ABC (1P-ABC), with the aim to increase the eciency of the ABC algorithm by using only one population of bees, the employed...
Solution of Wind Speed Equation of Circulation Cyclone and Its Application
The wind speed equation of circular cyclone is a set of non-linear partial differential equations (PDE) with 4 unknown functions u (wind speed), ρ (density), p (pressure) and T (temperature) and is separated to 14 unknow...