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THEORETICAL PROPERTIES OF THE WEIGHTED GENERALIZED GAMMA AND RELATED DISTRIBUTIONS

Published online by Cambridge University Press:  21 April 2015

Hewa A. Priyadarshani  and
Broderick O. Oluyede
Hewa A. Priyadarshani
Affiliation:
Department of Mathematical Sciences, Clemson University, Clemson, SC 29634USA
Broderick O. Oluyede
Affiliation:
Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460USA E-mail: boluyede@georgiasouthern.edu
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Abstract

A new class of weighted generalized gamma distribution (WGGD) and related distributions are presented. Theoretical properties of the generalized gamma model, WGGD including the hazard function, reverse hazard function, moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, and entropy measures are derived. The results presented here generalizes the generalized gamma distribution and includes several distributions as special cases. The special cases include generalized gamma, weighted gamma, weighted exponential, weighted Weibull, weighted Rayleigh distributions, and their underlying or parent distributions.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 29 , Issue 3 , July 2015 , pp. 421 - 432
Copyright
Copyright © Cambridge University Press 2015 

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