Monitoring Process Mean and Variability with One Double EWMA Chart

Abstract

In this article, we extend the single Max-EWMA chart to a single double EWMA chart, called the Max-DEWMA chart. The statistics of the Max-DEWMA chart are based on the maximum of the absolute values of the two DEWMA statistics, one controlling the mean while the other the variance. We show that the Max-DEWMA chart performs better than the Max-EWMA chart in detecting small and moderate shifts in the mean and/or variance.

Keywords:

• Average run length (ARL)
• DCUSUM chart
• Max-DEWMA chart
• Max-EWMA chart
• Single control chart

Mathematics Subject Classification:

• 62P30
• 62E17

Acknowledgment

This research is supported by the Universiti Sains Malaysia (USM), Fundamental Research Grant Scheme, no. 203/PMATHS/671073 and the USM Fellowship.