# The Double XRAMA Distribution: Theory and Applications

• David U. Gideon Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria
• Precious O. Ibeakuzie Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria
• Divine-Favour N. Ekemezie Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria
• Mmesoma P. Nwankwo Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria
• Dorathy O. Oramulu Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria
• Harrison O. Etaga Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria
Keywords: double XRama distribution, exponential distribution, Rama distribution, XRama

### Abstract

In this paper, a new distribution is proposed by a mixture of two distributions; Exponential and Exponential-Rama the proposed distribution is referred to as the Double XRama distribution. It is flexible in modeling lifetime data. The properties of the XRama distribution were derived and an analysis of the behaviour was conducted. The mathematical properties which include moments, the shape of the distribution, Quantile function, hazard function, survival function, stochastic ordering, mean deviation, Bonferroni and Lorenz curve, order statistic, and Renyi entropy have been studied. From the results, the proposed model competes favorably among the members of the XRama class of distributions.

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Published
2024-03-21
How to Cite
Gideon, D. U., Ibeakuzie, P. O., Ekemezie, D.-F. N., Nwankwo, M. P., Oramulu, D. O., & Etaga, H. O. (2024). The Double XRAMA Distribution: Theory and Applications. Earthline Journal of Mathematical Sciences, 14(3), 477-500. https://doi.org/10.34198/ejms.14324.477500
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