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Year 2016, Volume: 45 Issue: 3, 869 - 886, 01.06.2016

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Family of generalized gamma distributions: Properties and applications

Year 2016, Volume: 45 Issue: 3, 869 - 886, 01.06.2016

Abstract

In this paper, a family of generalized gamma distributions, T-gamma
family, has been proposed using the T-R{Y} framework. The family of
distributions is generated using the quantile functions of uniform, exponential,
log-logistic, logistic and extreme value distributions. Several
general properties of the T-gamma family are studied in details including
moments, mean deviations, mode and Shannon’s entropy. Three
new generalizations of the gamma distribution which are members of
the T-gamma family are developed and studied. The distributions in
the T-gamma family are very flexible due to their various shapes. The
distributions can be symmetric, skewed to the right, skewed to the left,
or bimodal. Four data sets with various shapes are fitted by using
members of the T-gamma family of distributions

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There are 1 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Statistics
Authors

Ayman Alzaatreh This is me

Carl Lee This is me

Felix Famoye

Publication Date June 1, 2016
Published in Issue Year 2016 Volume: 45 Issue: 3

Cite

APA Alzaatreh, A., Lee, C., & Famoye, F. (2016). Family of generalized gamma distributions: Properties and applications. Hacettepe Journal of Mathematics and Statistics, 45(3), 869-886.
AMA Alzaatreh A, Lee C, Famoye F. Family of generalized gamma distributions: Properties and applications. Hacettepe Journal of Mathematics and Statistics. June 2016;45(3):869-886.
Chicago Alzaatreh, Ayman, Carl Lee, and Felix Famoye. “Family of Generalized Gamma Distributions: Properties and Applications”. Hacettepe Journal of Mathematics and Statistics 45, no. 3 (June 2016): 869-86.
EndNote Alzaatreh A, Lee C, Famoye F (June 1, 2016) Family of generalized gamma distributions: Properties and applications. Hacettepe Journal of Mathematics and Statistics 45 3 869–886.
IEEE A. Alzaatreh, C. Lee, and F. Famoye, “Family of generalized gamma distributions: Properties and applications”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 3, pp. 869–886, 2016.
ISNAD Alzaatreh, Ayman et al. “Family of Generalized Gamma Distributions: Properties and Applications”. Hacettepe Journal of Mathematics and Statistics 45/3 (June 2016), 869-886.
JAMA Alzaatreh A, Lee C, Famoye F. Family of generalized gamma distributions: Properties and applications. Hacettepe Journal of Mathematics and Statistics. 2016;45:869–886.
MLA Alzaatreh, Ayman et al. “Family of Generalized Gamma Distributions: Properties and Applications”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 3, 2016, pp. 869-86.
Vancouver Alzaatreh A, Lee C, Famoye F. Family of generalized gamma distributions: Properties and applications. Hacettepe Journal of Mathematics and Statistics. 2016;45(3):869-86.