Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia.
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.
Math Biosci Eng. 2022 Jul 25;19(10):10474-10492. doi: 10.3934/mbe.2022490.
Statistical methods are frequently used in numerous healthcare and other related sectors. One of the possible applications of the statistical methods is to provide the best description of the data sets in the healthcare sector. Keeping in view the applicability of statistical methods in the medical sector, numerous models have been introduced. In this paper, we also introduce a novel statistical method called, a new modified-G family of distributions. Several mathematical properties of the new modified-G family are derived. Based on the new modified-G method, a new updated version of the Weibull model called, a new modified-Weibull distribution is introduced. Furthermore, the estimators of the parameters of the new modified-G distributions are also obtained. Finally, the applicability of the new modified-Weibull distribution is illustrated by analyzing two medical sets. Using certain analytical tools, it is observed that the new modified-Weibull distribution is the best choice to deal with the medical data sets.
统计方法在众多医疗保健和其他相关领域中被广泛应用。统计方法的一种可能的应用是为医疗保健领域中的数据集提供最佳描述。鉴于统计方法在医学领域中的适用性，已经引入了许多模型。在本文中，我们还介绍了一种新的统计方法，称为新的改进 G 族分布。推导出了新的改进 G 族的几个数学性质。基于新的改进 G 方法，引入了一个新的威布尔模型的更新版本，称为新的改进威布尔分布。此外，还获得了新的改进 G 分布参数的估计值。最后，通过分析两个医疗数据集说明了新的改进威布尔分布的适用性。使用某些分析工具，观察到新的改进威布尔分布是处理医学数据集的最佳选择。
