2020•Journal of Mathematical and Computational ScienceOpen access

A new two parameter gamma-exponential mixture

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Abstract

In this study, a new continuous distribution, which is a two-component finite mixture of exponential and gamma distribution, is suggested. Various properties of the proposed distribution, such as survival function, hazard rate function, moments, moment generating function, and characteristic function have been discussed. The maximum likelihood estimation is used for estimating the unknown parameters involved in this work. Finally, the proposed distribution is fitted to real-life data to illustrate its application, and a comparison against some existing distributions are drawn.

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Key concepts: Mathematics, Gamma distribution, Natural exponential family, Exponential distribution, Exponential function, Exponential family, Applied mathematics, Moment (physics)