双 XRAMA 分布:理论与应用

David U. Gideon, Precious O. Ibeakuzie, Divine-Favour N. Ekemezie, M. P. Nwankwo, Dorathy O. Oramulu, Harrison O. Etaga
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引用次数: 0

摘要

本文提出了一种新的分布,即指数分布和指数-拉玛分布的混合分布。它在建立生命周期数据模型时非常灵活。我们推导出了 XRama 分布的属性,并对其行为进行了分析。研究的数学特性包括矩、分布形状、量子函数、危险函数、生存函数、随机排序、平均偏差、Bonferroni 和 Lorenz 曲线、阶次统计量和 Renyi 熵。研究结果表明,所提出的模型在 XRama 分布类中具有较强的竞争力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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 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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