We develop a new proportion control chart using the exponentially weighted moving average (EWMA) for the maxima nomination sampling (MNS) method. By using average run length (ARL), we compare it with conventional Shewhart and EWMA control charts based on the simple random sampling (SRS) method. We study the effect of the sample size, the set size, the in-control and out-of-control non-conforming proportion, the smoothing parameter, and the refinement factor on the performance of MNS-EWMA charts using ARL curves. We show that the MNS-EWMA control chart is an excellent indicator of changes in the quality of processes relative to SRS-Shewhart and SRS-EWMA charts. We present optimal ranges for the smoothing parameter of MNS-EWMA charts. An illustrative example with simulated data is enclosed. The results show that MNS-EWMA control charts produce significant enhancement over the traditional charts based on SRS.

中文翻译：

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一种改进的指数加权移动平均图，用于使用最大值提名抽样监测比例

我们使用指数加权移动平均 (EWMA) 为最大值提名抽样 (MNS) 方法开发了一个新的比例控制图。通过使用平均运行长度 (ARL)，我们将其与基于简单随机抽样 (SRS) 方法的传统 Shewhart 和 EWMA 控制图进行了比较。我们使用 ARL 曲线研究样本大小、集合大小、控制内和失控的不符合比例、平滑参数和细化因子对 MNS-EWMA 图表性能的影响。我们表明，相对于 SRS-Shewhart 和 SRS-EWMA 控制图，MNS-EWMA 控制图是过程质量变化的极好指标。我们提出了 MNS-EWMA 图表平滑参数的最佳范围。随附一个带有模拟数据的说明性示例。