Title

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.

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