In practical situations, the underlying process distribution sometimes deviates from normality and their distribution is partially or completely unknown. In that instance, rather than staying with/depending on the conventional parametric control charts, we consider non‐parametric control charts due to their exceptional performance. In this paper, a new non‐parametric double homogeneously weighted moving average sign control chart is proposed with the least assumptions. This chart is based on a sign test statistic for catching the smaller deviations in the process location. Run‐length (RL) properties of the proposed chart are studied with the help of Monte Carlo simulations. Both in‐control and out‐of‐control RL properties show that the proposed chart is a better contender as compared to some existing charts from the literature. A real‐life application for practical consideration of the proposed chart is also provided.

中文翻译：

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符号统计下的非参数双均质加权移动平均控制图

在实际情况下，基础过程分布有时会偏离正态性，并且其分布是部分或完全未知的。在那种情况下，我们不考虑/不依赖于传统的参数控制图，而是考虑非参数控制图的出色性能，而不是仅仅依靠它们。本文以最少的假设提出了一种新的非参数双同质加权移动平均符号控制图。该图表基于符号测试统计数据，用于捕获过程位置中的较小偏差。借助蒙特卡洛模拟研究了建议图表的游程（RL）属性。失控的RL属性和失控的RL属性均表明，与文献中的某些现有图表相比，拟议的图表更具竞争优势。