In this paper, a new extension of Lomax distribution called the exponentiated power Lomax (EPOLO) distribution is proposed. The proposed model accommodates monotonically increasing, decreasing, and unimodal hazard rates. A full study of the proposed model parameters using four techniques is introduced and a simulation study is performed to examine the performance of the four methods of estimation for both complete and censored data. EPOLO distribution is utilized to fit the number of revolutions of ball bearings, the tumor size of lung cancer patients, and the confirmed total deaths of the COVID‐19 in Egypt and it provides better fits than some well‐known distributions.

中文翻译：

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指数功率Lomax分布及其应用

本文提出了Lomax分布的新扩展，称为幂幂Lomax（EPOLO）分布。提出的模型适应单调增加，减少和单峰危害率。介绍了使用四种技术对提议的模型参数进行的全面研究，并进行了仿真研究，以检验完整和审查数据的四种估算方法的性能。EPOLO分布用于拟合滚珠轴承的转数，肺癌患者的肿瘤大小以及在埃及确认的COVID-19的总死亡数，它比某些知名的分布具有更好的拟合度。