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In this paper, the author proposes a seven-parameter lifetime model called extended generalization of the gamma distribution, which stems from the expansion of the gamma function. The expanded generalization of both function generalization and gamma distribution has been highlighted in recent decades for their widespread use in important application areas in pure and mixture models, and this expansion provides a comprehensive mathematical treatment to trace the behavior of some random phenomena represented by this distribution. The author introduces some key characteristics of extended generalization to gamma, modified and extended gamma, and provides moments, quantitative function, and other important metrics. The findings of this work will be useful and constructive for practitioners in various fields of theoretical and applied sciences.
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A New Extended-Gamma Family of Distributions: Properties and Applications
How to cite this paper: Bachioua Lahcene. (2021) A New Extended-Gamma Family of Distributions: Properties and Applications. Journal of Applied Mathematics and Computation, 5(1), 9-17.
DOI: http://dx.doi.org/10.26855/jamc.2021.03.002