Abid Muhammad, Sun Mei, Shabbir Aroosa, Bakr M E, Abbas Tahir
School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu, People's Republic of China.
Department of Statistics, Government College University, Faisalabad, 38000, Pakistan.
Sci Rep. 2024 Jun 12;14(1):13561. doi: 10.1038/s41598-024-64084-7.
In various practical situations, the information about the process distribution is sometimes partially or completely unavailable. In these instances, practitioners prefer to use nonparametric charts as they don't restrict the assumption of normality or specific distribution. In this current article, a nonparametric double homogeneously weighted moving average control chart based on the Wilcoxon signed-rank statistic is developed for monitoring the location parameter of the process. The run-length profiles of the newly developed chart are obtained by using Monte Carlo simulations. Comparisons are made based on various performance metrics of run-length distribution among proposed and existing nonparametric counterparts charts. The extra quadratic loss is used to evaluate the overall performance of the proposed and existing charts. The newly developed scheme showed comparatively better results than its existing counterparts. For practical implementation of the suggested scheme, the real-world dataset related to the inside diameter of the automobile piston rings is also used.
在各种实际情况下，有关过程分布的信息有时会部分或完全不可用。在这些情况下，从业者更喜欢使用非参数控制图，因为它们不限制正态性或特定分布的假设。在本文中，基于威尔科克森符号秩统计量开发了一种非参数双均匀加权移动平均控制图，用于监测过程的位置参数。通过蒙特卡罗模拟获得新开发控制图的运行长度分布。基于所提出的和现有的非参数对应控制图的运行长度分布的各种性能指标进行比较。额外的二次损失用于评估所提出的和现有控制图的整体性能。新开发的方案显示出比其现有对应方案更好的结果。为了该建议方案的实际应用，还使用了与汽车活塞环内径相关的真实数据集。
