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A Multivariate Exponentially Weighted Moving Average Control Chart

Lowry, Cynthia A., Woodall, William H., Champ, Charles W., Rigdon, Steven E.·1992·Technometrics

Abstract

A multivariate extension of the exponentially weighted moving average (EWMA) control chart is presented, and guidelines given for designing this easy-to-implement multivariate procedure. A comparison shows that the average run length (ARL) performance of this chart is similar to that of multivariate cumulative sum (CUSUM) control charts in detecting a shift in the mean vector of a multivariate normal distribution. As with the Hotelling's χ2 and multivariate CUSUM charts, the ARL performance of the multivariate EWMA chart depends on the underlying mean vector and covariance matrix only through the value of the noncentrality parameter. Worst-case scenarios show that Hotelling's χ2 charts should always be used in conjunction with multivariate CUSUM and EWMA charts to avoid potential inertia problems. Examples are given to illustrate the use of the proposed procedure.

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Authors
Lowry, C. A., Woodall, W. H., Champ, C. W., & Rigdon, S. E.
Venue
Technometrics
Published
1992-02
Volume
34
Issue
1
Pages
46-53
ISSN
  • 0040-1706 (ISSN-L)
  • 1537-2723
OpenAlex
W1994449045
Cited by
1,230
References
0
FWCI
15.25
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A Multivariate Exponentially Weighted Moving Average Control Chart. https://app.cochat.ai/papers/10.1080/00401706.1992.10485232
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Lowry, C. A., Woodall, W. H., Champ, C. W., & Rigdon, S. E. (1992). A Multivariate Exponentially Weighted Moving Average Control Chart. Technometrics. https://doi.org/10.1080/00401706.1992.10485232

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