Abd El-Monsef, Sweilam and Sabry [Quality and Reliability Engineering International, 2020, doi: 10.1002/qre.2780] proposed a four-parameter exponentiated power Lomax distribution, derived its properties and illustrated three data applications. In this note, we show that several properties expressed in terms of infinite sums can be simplified to a known special function. We also show that certain one-parameter distributions can provide better fits to at least two of the data sets considered.

中文翻译：

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关于“指数幂 Lomax 分布及其应用”的注释

Abd El-Monsef、Sweilam 和 Sabry [质量和可靠性工程国际，2020，doi: 10.1002/qre.2780] 提出了一个四参数指数幂 Lomax 分布，推导了它的属性并说明了三个数据应用。在这篇笔记中，我们展示了用无穷和表示的几个属性可以简化为一个已知的特殊函数。我们还表明，某些单参数分布可以为所考虑的至少两个数据集提供更好的拟合。