Journal of Applied Mathematics
Volume 2012 (2012), Article ID 978282, 14 pages
http://dx.doi.org/10.1155/2012/978282
Research Article

The Location-Scale Mixture Exponential Power Distribution: A Bayesian and Maximum Likelihood Approach

Z. Rahnamaei,1 N. Nematollahi,2 and R. Farnoosh3

1Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2Department of Statistics, Allameh Tabataba'i University, Tehran, Iran
3School of Mathematics, Iran university of Science and Technology, Narmak, Tehran 16765-163, Iran

Received 12 March 2012; Revised 2 June 2012; Accepted 22 August 2012

Academic Editor: Huijun Gao

Copyright © 2012 Z. Rahnamaei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We introduce an alternative skew-slash distribution by using the scale mixture of the exponential power distribution. We derive the properties of this distribution and estimate its parameter by Maximum Likelihood and Bayesian methods. By a simulation study we compute the mentioned estimators and their mean square errors, and we provide an example on real data to demonstrate the modeling strength of the new distribution.