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A Generalized Gamma-Weibull Distribution: Model, Properties and Applications

Author(s)
R.S. Meshkat Department of Statistics, Yazd University, 89175-741, Yazd, Iran.
H. Torabi Department of Statistics, Yazd University, 89175-741, Yazd, Iran.
G.G. Hamedani Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, USA.
Abstract
We prepare a new method to generate family of distributions. Then, a family of univariate distributions generated by the Gamma random variable is defined. The generalized gamma-Weibull (GGW) distribution is studied as a special case of this family. Certain mathematical properties of moments are provided. To estimate the model parameters, the maximum likelihood estimators and the asymptotic distribution of the estimators are discussed. Certain characterizations of GGW distribution are presented. Finally, the usefulness of the new distribution, as well as its effectiveness in comparison with other distributions, are shown via an application of a real data set. 
Publication Details
Page(s) 201-212
DOI DOI not available
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 12, Issue: 2, Year: 2016

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Keywords
maximum likelihood estimation, Characterizations, Hazard function, Weibull distribution, Generalized gamma-Weibull distribution, Gamma-generated distribution
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