The 19 Densities of the Hierarchical Bayes Model with Two Conditional Levels
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 6, Issue 1
Abstract
There are 19 densities involved in the hierarchical Bayes model with two conditional levels, in which the 3 densities, that is, the likelihood function, the first level prior density, and the secondlevel prior density, are known densities. We have written the 16 unknown densities in terms of the 3 known densities in a theorem which is very handy for practitioners and researchers interested in the hierarchical Bayes model with two conditional levels. Finally, we apply the theorem to a specific hierarchical normal Bayes model with two conditional levels and obtain the functional forms of the 16 unknown densities. Moreover, we figure out the exact distributions of the 16 densities, which are one-, two-, or three-dimensional normal distributions.
Authors and Affiliations
Ying-Ying Zhang, Teng-Zhong Rong, Man-Man Li
Keywords
Related Articles
- EP ID EP338498
- DOI 10.9734/ARJOM/2017/35481
- Views 104
- Downloads 0
Topologized Cut Vertex and Edge Deletion
In this paper discussed and study a new result of non-topologized graph by using cut vertex and cut edge component of the graph makes the graph to be Topologized graph. This concept implemented to some families of graph.
A Markov Chain Model Approach to Study Academic Promotions in Ghanaian Universities
Promotions of academic staff in universities and analogous institutions remain crucial to the attainment of economic, environmental and societal objectives nationally and globally. Notwithstanding the benefits to institu...
T-Fuzzy Left h-Ideals of Hemirings
In this paper using t-norm T, The concepts of T-fuzzy left h-ideals of hemirings are introduced. Some new characterization theorems of these kinds of T-fuzzy left h-ideals are given. The normal T-fuzzy left h-ideals of h...
Monotonicity and Convexity Properties and Some Inequalities Involving a Generalized Form of the Wallis' Cosine Formula
This study is focused on monotonicity and convexity properties of a generalized form of the Wallis’ cosine formula. Specifically, by using the integral form of the Nielsen’s β-function, we prove that the generalized Wall...
Effect of Physical and Virtual Manipulatives on the Mathematical Achievement of Junior High School Students in the Topic of Transformation in Ghana
There is a general perception that mathematics is difficult and many Junior High school students seem to struggle through mathematics lessons. The purpose of this study was to investigate the effect of physical (using ma...