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| Контролна карта CUSUM× | Контролна карта с експоненциално претеглена плъзгаща се средна (EWMA)× | |
|---|---|---|
| Област | Статистика | Статистика |
| Семейство | Process / pipeline | Process / pipeline |
| Година на възникване≠ | 1954 | 1959 |
| Създател≠ | E. S. Page | S. W. Roberts |
| Тип | Statistical process control chart for small shifts | Statistical process control chart for small shifts |
| Основополагащ източник≠ | Page, E. S. (1954). Continuous inspection schemes. Biometrika, 41(1/2), 100–115. DOI ↗ | Roberts, S. W. (1959). Control chart tests based on geometric moving averages. Technometrics, 1(3), 239–250. DOI ↗ |
| Други названия | cumulative sum chart, CUSUM control chart, Page's CUSUM, kümülatif toplam kontrol kartı | exponentially weighted moving average chart, EWMA control chart, geometric moving average chart, EWMA kontrol kartı |
| Свързани≠ | 4 | 3 |
| Резюме≠ | 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. | The exponentially weighted moving average (EWMA) control chart, introduced by S. W. Roberts in 1959, monitors a process using a weighted average that gives the most recent observation the greatest weight while letting older observations fade geometrically. Like CUSUM, this memory makes it highly effective at detecting small, sustained shifts in the process mean, with a single smoothing parameter λ controlling how much past information the chart retains. |
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