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A Multivariate Exponentially Weighted Moving Average Control Chart
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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Cited by
Hazen, B. T., Boone, C. A., Ezell, J. D., & Jones-Farmer, L. A. (2014) · International Journal of Production Economics · doi:10.1016/j.ijpe.2014.04.018 · Cited by 863
Ge, Z., & Song, Z. (2007) · Industrial & Engineering Chemistry Research · doi:10.1021/ie061083g · Cited by 294
Metadata
- Authors
- Lowry, C. A., Woodall, W. H., Champ, C. W., & Rigdon, S. E.
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- 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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- The paper
- 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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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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