Theoretical Properties of the Weighted Generalized Gamma Distribution and Related Distributions
Document Type
Article
Publication Date
7-2015
Publication Title
Probability in the Engineering and Informational Sciences
DOI
10.1017/S0269964815000078
ISSN
1469-8951
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.
Recommended Citation
Priyadarshani, Hewa A., Broderick O. Oluyede.
2015.
"Theoretical Properties of the Weighted Generalized Gamma Distribution and Related Distributions."
Probability in the Engineering and Informational Sciences, 29 (3): 421-432.
doi: 10.1017/S0269964815000078
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/308