講  題：On Monitoring and Post-Detection Diagnostics of Correlated Quality Variables of Different Types

主講人：黃偉恆 副教授 (國立台北大學統計學系)

時  間：2025年09月25日（星期四）下午02：10 – 04：00

地  點：B302A（淡水校園商管大樓）

茶  會：2025年09月25日（星期四）下午01：30 (商管大樓 B1102)

摘 要

Quality control applications in modern era, especially for non-manufacturing processes, often involve having to monitor correlated variables of different types, continuous, count and categorical. Most of the existing multivariate control charts implicitly assume that the correlated variables to be monitored are of the same type. Another equally challenging task in multivariate quality control which has received relatively little attention is identifying parameters that are actually out of control, when an out-of-control signal is detected on a control chart. In this talk, we will discuss how these two challenges present a unique opportunity to develop multivariate control charts which not only can monitor correlated variables of different types, but also can provide instantaneous diagnostics of out-of-control parameters. The talk will focus on discussing recent works which tackle these challenges by adopting multiple testing procedures in developing multivariate control charts. The proposed chart is shown to outperform the existing charts particularly in its ability to provide more accurate diagnoics. Future research directions along the same line will also be discussed.

Keywords：Diagnostics; Multiple testing procedure; Multivariate control chart; Phase-II monitoring.