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MCUSUM Chart×CUSUM কন্ট্রোল চার্ট×
ক্ষেত্রপরিসংখ্যানপরিসংখ্যান
পরিবারProcess / pipelineProcess / pipeline
উদ্ভবের বছর19881954
প্রবর্তকRobert CrosierE. S. Page
ধরনMultivariate sequential monitoring chartStatistical process control chart for small shifts
মৌলিক উৎসCrosier, 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 ↗
অপর নামMultivariate 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
সম্পর্কিত24
সারসংক্ষেপThe 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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ScholarGateপদ্ধতির তুলনা করুন: MCUSUM Chart · CUSUM Chart. 2026-06-17 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare