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Journal of Probability and Statistics
Volume 2014 (2014), Article ID 982013, 6 pages
http://dx.doi.org/10.1155/2014/982013
Research Article

On -Gamma and -Beta Distributions and Moment Generating Functions

Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

Received 10 February 2014; Revised 29 June 2014; Accepted 4 July 2014; Published 15 July 2014

Academic Editor: Chin-Shang Li

Copyright © 2014 Gauhar Rahman 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

The main objective of the present paper is to define -gamma and -beta distributions and moments generating function for the said distributions in terms of a new parameter . Also, the authors prove some properties of these newly defined distributions.