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Hartë MCUSUM×Grafiku kontrollues i shumave kumulative (CUSUM)×
FushaStatistikëStatistikë
FamiljaProcess / pipelineProcess / pipeline
Viti i origjinës19881954
KrijuesiRobert CrosierE. S. Page
LlojiMultivariate sequential monitoring chartStatistical process control chart for small shifts
Burimi themeluesCrosier, R. B. (1988). Multivariate generalizations of cumulative sum quality-control schemes. Technometrics, 30(3), 291–303. DOI ↗Page, E. S. (1954). Continuous inspection schemes. Biometrika, 41(1/2), 100–115. DOI ↗
Emërtime të tjeraMultivariate Cumulative Sum Chart, MCUSUM Control Chart, Crosier MCUSUM Scheme, Çok Değişkenli CUSUM Kontrol Grafiğicumulative sum chart, CUSUM control chart, Page's CUSUM, kümülatif toplam kontrol kartı
Të lidhura24
PërmbledhjaThe 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 cumulative sum (CUSUM) control chart, introduced by E. S. Page in 1954, monitors a process by accumulating the deviations of observations from a target value rather than judging each point in isolation. Because small persistent shifts add up over time, the running sum makes them visible far sooner than a Shewhart chart, making CUSUM the tool of choice for detecting small, sustained changes in the process mean.
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ScholarGateKrahasoni metodat: MCUSUM Chart · CUSUM Chart. Marrë më 2026-06-17 nga https://scholargate.app/sq/compare