Empirical Bayes and Hierarchical Bayes Estimation of Skew Normal Populations

Authors

Naveen K. Bansal, Marquette UniversityFollow
Mehdi Maadooliat, Marquette UniversityFollow
Xiaowei Wang, Marquette University

Document Type

Article

Language

eng

Format of Original

14 p.

Publication Date

2008

Publisher

Taylor & Francis

Source Publication

Communications in Statistics - Theory and Methods

Source ISSN

0361-0926

Original Item ID

doi: 10.1080/03610920701713195

Abstract

We develop empirical and hierarchical Bayesian methodologies for the skew normal populations through the EM algorithm and the Gibbs sampler. A general concept of skewness to the normal distribution is considered throughout. Motivations are given for considering the skew normal population in applications, and an example is presented to demonstrate why the skew normal distribution is more applicable than the normal distribution for certain applications.

Comments

Accepted version. Communications in Statistics - Theory and Methods, Vol. 37, No. 7 (2008): 1024-1037. DOI. © 2008 Taylor & Francis. Used with permission.

Recommended Citation

Bansal, Naveen K.; Maadooliat, Mehdi; and Wang, Xiaowei, "Empirical Bayes and Hierarchical Bayes Estimation of Skew Normal Populations" (2008). Mathematics, Statistics and Computer Science Faculty Research and Publications. 122.
https://epublications.marquette.edu/mscs_fac/122