Self-Starting CUSCORE Control Charts for Individual Multivariate Observations

Abstract

In some manufacturing settings, such as during process start-up and in the case of short production runs, process parameters are unknown, and Phase I samples cannot be gathered to accurately estimate control limits for prospective monitoring. Self-starting charts can be applied to these low-volume applications. In this article, two new self-starting multivariate control charts, both based on a CUSCORE-type procedure, are proposed for monitoring the unknown mean of a multivariate normal distribution. These charting procedures, which weight current observations according to the information contained in the fault signature, are able to outperform the previously suggested self-starting charts, which neglect the dynamic pattern of the mean change.

• Change-Point Detection
• Q-Chart
• Recursive Residuals
• Statistical Process Control

Additional information

Notes on contributors

Giovanna Capizzi

Dr. Capizzi is an Associate Professor in the Department of Statistical Sciences. Her email address is [email protected].

Guido Masarotto

Mr. Masarotto is a Professor in the Department of Statistical Sciences. His email address is [email protected].