A new two parameter gamma-exponential mixture

Saurav Sarma, Inzamul Ahmed, Anjana Begum

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.

How to Cite this Article

Saurav Sarma, Inzamul Ahmed, Anjana Begum, A new two parameter gamma-exponential mixture, J. Math. Comput. Sci., 11 (2021), 414-426. https://doi.org/10.28919/10.28919/jmcs/5146

Copyright © 2021 Saurav Sarma, Inzamul Ahmed, Anjana Begum. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.