法夫-杰里分布:林德利类应用的又一成员

Divine-Favour N. Ekemezie, Okechukwu J. Obulezi
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引用次数: 0

摘要

在本文中,我们利用指数分布和伽马分布的混合物设计了另一种单参数分布。这种新的分布在林德利分布的其他成员中是独一无二的,因为它的波动函数是一个封闭函数形式,因此适合于分析研究。这种分布以作者的名字命名为 Fav-Jerry。我们研究了它的统计特性以及使用一些非贝叶斯方法进行的点估计。我们使用了两个真实数据集来证明新模型的实用性。使用特定飞机的死亡率和故障率数据集进行的真实数据应用表明,与竞争对手相比,所提出的模型拟合得很好,因此,Fav-Jerry 分布优于两参数克里斯-杰里分布(TPCJ)、克里斯-杰里分布、幂指数倒指数分布和 Weibull 分布,然后显示了从两个数据集得到的直方图、CDF、存活率和 TTT 图等参数图。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Fav-Jerry Distribution: Another Member in the Lindley Class with Applications
In this paper, we designed another one-parameter distribution using a mixture of exponential and gamma distributions. This new distribution is unique among other members of the Lindley class because the qunatile function has a closed-functional form hence lending itself to analytical study. This distribution is named Fav-Jerry after the names of the authors. The statistical properties and point estimation using some non-Bayesian methods were studied. We deploy tow real datasets to demonstrate the usefulness of the new model. The real data applications using data sets on mortality rate and failure rate in a particular airplane showed that the proposed model fits well compared to its competitors, therefore, the Fav-Jerry distribution is superior to Two parameter Chris-Jerry(TPCJ), Chris-Jerry, Exponentiated Inverted Exponential distribution, and Weibull distributions and then parametric plots showing the histogram, CDF, survival and TTT plots gotten from both data sets are displayed.
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