方法对比
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| 多变量CUSUM控制图（MCUSUM Chart）× | MEWMA控制图× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Process / pipeline | Process / pipeline |
| 起源年份≠ | 1988 | 1992 |
| 提出者≠ | Robert Crosier | Lowry, Woodall, Champ & Rigdon |
| 类型 | Multivariate sequential monitoring chart | Multivariate sequential monitoring chart |
| 开创性文献≠ | Crosier, R. B. (1988). Multivariate generalizations of cumulative sum quality-control schemes. Technometrics, 30(3), 291–303. DOI ↗ | Lowry, C. A., Woodall, W. H., Champ, C. W., & Rigdon, S. E. (1992). A multivariate exponentially weighted moving average control chart. Technometrics, 34(1), 46–53. DOI ↗ |
| 别名 | Multivariate Cumulative Sum Chart, MCUSUM Control Chart, Crosier MCUSUM Scheme, Çok Değişkenli CUSUM Kontrol Grafiği | Multivariate Exponentially Weighted Moving Average Chart, MEWMA Control Chart, Vector EWMA Chart, Çok Değişkenli EWMA Kontrol Grafiği |
| 相关 | 2 | 2 |
| 摘要≠ | The Multivariate CUSUM (MCUSUM) Chart is a sequential monitoring scheme designed to detect small, persistent mean shifts in a process characterized by multiple correlated quality variables simultaneously. Introduced by Robert Crosier in 1988, it extends the classical univariate CUSUM principle to the multivariate setting by accumulating a vector-valued sum of deviations from the in-control mean, scaled by the process covariance structure, and comparing a scalar norm of that cumulative sum against a control limit. | The Multivariate EWMA (MEWMA) control chart is a statistical process monitoring method designed to detect small and sustained shifts in the mean vector of a multivariate process. Introduced by Lowry, Woodall, Champ, and Rigdon in 1992, it extends the univariate EWMA chart to p-dimensional observation vectors by computing an exponentially weighted moving average of successive measurement vectors and charting a Hotelling-type quadratic form against a control limit determined by a target average run length. |
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