一种新的逆威布尔分布:性质及应用

Mona Mustafa Elbiely, H. Yousof
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引用次数: 7

摘要

在这项工作中,我们引入了逆威布尔分布的一个新的灵活扩展。本文推导了该模型的一些重要数学性质,并对该模型的均值、方差、偏度和峰度进行了数值分析。通过对均方误差的综合仿真研究,对极大似然法的性能进行了评价。该模型在模拟断裂应力数据、玻璃纤维数据和卸荷时间数据方面优于其他一些重要的有竞争力的逆威布尔扩展。给出了一些图来说明新模型对所用数据集的拟合性。
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A New Inverse Weibull Distribution: Properties and Applications
In this work, we introduce a new flexible extension of the Inverse Weibull distribution. Some important mathematical properties of the proposed model are derived along with a numerical analysis of mean, variance, skewness and kurtosis measures of the proposed model. The performance of the maximum likelihood method is assesses via a comprehensive simulation studies in terms of mean squared errors. The new model is better than some other important competitive extensions of the Inverse Weibull in modeling the breaking stress data, the glass fibers data and the relief time data. Some plots are given to illustrate the suitability of the new model to fit the used data sets.
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CiteScore
0.70
自引率
33.30%
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