指数-高斯分布的贝塔变换及其特性和应用

Kumlachew Wubale Tesfaw, A. Goshu
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引用次数: 0

摘要

本研究利用贝塔变换方法扩展了三参数指数高斯分布,从而引入了一种名为贝塔-指数-高斯分布的五参数连续概率模型。建立了新分布的基本性质,包括可靠性度量、危害函数、生存函数、矩、偏斜度、峰度、阶次统计量和渐近行为。利用接受-拒绝算法进行了模拟研究。将新模型拟合到模拟数据集和真实数据集,并报告了其性能。结果发现,贝塔-指数-高斯分布更灵活,在许多方面都有更好的表现。建议将新分布用于具有偏度和双峰分布的数据建模。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Beta transformation of the Exponential-Gaussian distribution with its properties and applications
This study introduces a five-parameter continuous probability model named the Beta-Exponential-Gaussian distribution by extending the three-parameter Exponential-Gaussian distribution with the beta transformation method. The basic properties of the new distribution, including reliability measure, hazard function, survival function, moment, skewness, kurtosis, order statistics, and asymptotic behavior, are established. Using the acceptance-rejection algorithm, simulation studies are conducted. The new model is fitted to the simulated and real data sets, and its performance is reported. The Beta-Exponential-Gaussian distribution is found to be more flexible and has better performance in many aspects. It is suggested that the new distribution would be used in modeling data having skewness and bimodal distribution.
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