In this paper, we propose an auxiliary-information-based (AIB) double EWMA-$t$ (AIB-DEWMA-$t$) chart for monitoring the process mean. The DEWMA-$t$ chart encompasses the EWMA-$t$ and AIB-EWMA-$t$ charts. The Monte Carlo simulations are used to compute the run length characteristics of the AIB-DEWMA-$t$ chart. Based on detailed run length comparisons, it is found that the AIB-DEWMA-$t$ chart may uniformly and substantially outperform the AIB-EWMA-$t$ chart when detecting different shifts in the process mean. In addition, the AIB-DEWMA-$t$ chart is uniformly more sensitive than the DEWMA-$t$ chart. Similar trends are observed when comparing these control charts with the variable sampling interval feature. A real dataset is also considered to demonstrate the implementation of the proposed chart.

中文翻译：

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带有过程均值辅助信息的新双 EWMA-t 图

在本文中，我们提出了一种基于辅助信息（AIB）的双 EWMA-$吨$ (AIB-DEWMA-$吨$) 用于监控过程平均值的图表。DEWMA-$吨$ 图表包含 EWMA-$吨$ 和 AIB-EWMA-$吨$图表。Monte Carlo 模拟用于计算 AIB-DEWMA-$吨$图表。基于详细的运行长度比较，发现 AIB-DEWMA-$吨$ 图表可能一致且大幅优于 AIB-EWMA-$吨$检测过程均值的不同变化时的图表。此外，AIB-DEWMA-$吨$ 图表比 DEWMA 更敏感 -$吨$图表。将这些控制图与可变采样间隔特征进行比较时，可以观察到类似的趋势。还考虑使用真实数据集来演示所提议图表的实施。