In this paper, we modify the Burr-XII distribution through the inverse exponential scheme to obtain a new two-parameter distribution on the unit interval called the unit Burr-XII distribution. The basic statistical properties of the newly defined distribution are studied. Parameters estimation is dealt and different estimation methods are assessed through two simulation studies. A new quantile regression model based on the proposed distribution is introduced. Applications of the proposed distribution and its regression model to real data sets show that the proposed models have better modeling capabilities than competing models.

中文翻译：

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分位数回归模型在单位Burr-XII分布中的应用

在本文中，我们通过逆指数方案修改了Burr-XII分布，从而在单位间隔上获得了一个新的两参数分布，称为单位Burr-XII分布。研究了新定义的分布的基本统计属性。通过两次仿真研究进行参数估计并评估不同的估计方法。介绍了一种基于建议分布的新分位数回归模型。所提出的分布及其回归模型在真实数据集上的应用表明，所提出的模型比竞争模型具有更好的建模能力。