The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Multivariate Generalizations of Cumulative Sum Quality-Control Schemes
Abstract
This article presents the design procedures and average run lengths for two mulativariater cumulative sum (CUSUM) quality-control procedures. The first CUSUM procedure reduces each multivariate observation to a scalar and then forms a CUSUM of the scalars. The second CUSUM procedure forms a CUSUM vector directly from the observations. These two procedures are compared with each other and with the multivariate Shewhart chart. Other multivariate quality-control procedures are mentioned. Robustness, the fast initial response feature for CUSUM schemes, and combined Shewhart-CUSUM schemes are discussed.
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Cites
(2005) · Technometrics · doi:10.1198/tech.2005.s303 · Cited by 17,923
Multivariate Statistical Methods
(2008) · Encyclopedia of Public Health · doi:10.1007/978-1-4020-5614-7_2263 · Cited by 5,580
An Introduction to the Theory of Statistics
(1911) · Nature · doi:10.1038/087345a0 · Cited by 4,394
Applied Regression Analysis (2nd ed).
de Carvalho, J. F., Draper, N. R., & Smith, H. (1981) · Journal of the American Statistical Association · doi:10.2307/2287608 · Cited by 3,044
Multivariate Statistical Methods.
Brillinger, D. R., & Morrison, D. F. (1969) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344132 · Cited by 1,203
Introduction to the Theory of Statistics, 3rd ed.
Kass, G. V., Mood, A. M., Graybill, F. A., & Boes, D. C. (1974) · Journal of the American Statistical Association · doi:10.2307/2286195 · Cited by 975
An approach to the probability distribution of cusum run length
BROOK, D., & EVANS, D. A. (1972) · Biometrika · doi:10.1093/biomet/59.3.539 · Cited by 885
Combined Shewhart-CUSUM Quality Control Schemes
Lucas, J. M. (1982) · Journal of Quality Technology · doi:10.1080/00224065.1982.11978790 · Cited by 445
A Note on Multivariate CUSUM Procedures
Healy, J. D. (1987) · Technometrics · doi:10.1080/00401706.1987.10488268 · Cited by 337
Fast Initial Response for CUSUM Quality-Control Schemes: Give Your CUSUM A Head Start
Lucas, J. M., & Crosier, R. B. (2000) · Technometrics · doi:10.2307/1271440 · Cited by 320
Self-citation
Cited by
A Multivariate Exponentially Weighted Moving Average Control Chart
Lowry, C. A., Woodall, W. H., Champ, C. W., & Rigdon, S. E. (1992) · Technometrics · doi:10.1080/00401706.1992.10485232 · Cited by 1,230
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
Data-driven performance analyses of wastewater treatment plants: A review
Newhart, K. B., Holloway, R. W., Hering, A. S., & Cath, T. Y. (2019) · Water Research · doi:10.1016/j.watres.2019.03.030 · Cited by 485
Reis, M., & Gins, G. (2017) · Processes · doi:10.3390/pr5030035 · Cited by 294
Metadata
- Authors
- Crosier, R. B.
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1988-08
- Volume
- 30
- Issue
- 3
- Pages
- 291-303
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W1975061413
- Cited by
- 717
- References
- 11
- FWCI
- 3.64
- Type
- journal article
- Language
- en
- Open access
- closed
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