Abstract Parameter estimation has a large impact on control chart performance. Recently, widened control limits have been suggested to guarantee an acceptable in-control behavior. However, the consequence is a reduced ability to detect a real change in the process. In order to overcome this undesired effect, we explore an alternative design based on a delayed updating of parameter estimates. We consider an application to the Shewhart X, EWMA, and CUSUM control charts for the process mean. This approach is simple to implement, reduces the variation of the in-control average run lengths, and significantly improves the out-of-control performance.

中文翻译：

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通过谨慎的参数学习保证在控控制图的性能

摘要 参数估计对控制图性能有很大影响。最近，有人建议扩大控制范围以保证可接受的控制行为。然而，结果是检测过程中真正变化的能力降低。为了克服这种不良影响，我们探索了一种基于参数估计延迟更新的替代设计。我们考虑对过程均值的 Shewhart X、EWMA 和 CUSUM 控制图的应用。这种方法实现简单，减少了在控平均游程长度的变化，并显着提高了失控性能。