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Statistical monitoring of the covariance matrix in multivariate processes: A literature review

Statistical monitoring of the covariance matrix in multivariate processes: A literature review

Publication:
Journal of Quality Technology
Date:
July 2022
Issue:
Volume 54 Issue 3
Pages:
pp. 269-289
Author(s):
Ebadi, Mohsen, Chenouri, Shojaeddin, Lin, Dennis K.J., Steiner, Stefan H.

Abstract

Monitoring several correlated quality characteristics of a process is common in modern manufacturing and service industries. Although a lot of attention has been paid to monitoring the multivariate process mean, not many control charts are available for monitoring the covariance matrix. This paper presents a comprehensive overview of the literature on control charts for monitoring the covariance matrix in a multivariate statistical process monitoring (MSPM) framework. It classifies the research that has previously appeared in the literature. We highlight the challenging areas for research and provide some directions for future research.

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