The Double XRAMA Distribution: Theory and Applications

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...

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Veröffentlicht in:Earthline Journal of Mathematical Sciences 2024-03, p.477-500
Hauptverfasser: Gideon, David U., Ibeakuzie, Precious O., Ekemezie, Divine-Favour N., Nwankwo, Mmesoma P., Oramulu, Dorathy O., Etaga, Harrison O.
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Sprache:eng
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Zusammenfassung: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.
ISSN:2581-8147
2581-8147
DOI:10.34198/ejms.14324.477500