Control Chart Tests Based on Geometric Moving Averages

By S. W. Roberts. Technometrics, 2000

2,495 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/42b9c18bba3ca3152099702d85ff30dd3cbab21e

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In Statistics and Probability

Citations in the corpus

Conditional and marginal performance of the Poisson CUSUM control chart with parameter estimation (2007, methodology): “The cumulative sum (CUSUM) control chart (Page 1954 ) and the exponentially weighted moving average (EWMA) control chart (Roberts 1959 ) are proven to be superior in detecting small changes in the mean of a monitored quality characteristic in contrast to a Shewhart control chart.”
Optimal and Asymptotically Optimal CUSUM Rules for Change Point Detection in the Brownian Motion Model with Multiple Alternatives (2006, methodology): “The former is used in the comparison between Roberts’ exponentially weighted moving averages (EWMA) rule (see [11]) with Page’s cumulative sums (CUSUM) rule (see [9]) and the Shiryaev–Roberts rule (see [13] and [12]) appearing in the paper by Srivastava and Wu [16] for the one-sided alternative in t”
An Adaptive Exponentially Weighted Moving Average Control Chart (2003, methodology): “Shewhart, cumulative sum (CUSUM), and exponentially weighted moving average (EWMA) control charts are three of the statistical tools used for this purpose (see Shewhart 1931; Page 1954, 1955; Roberts 1959; Rowlands and Whetherill 1991;Yashchin 1993).”
An Examination of the Robustness to Non Normality of the EWMA Control Charts for the Dispersion (2005, methodology): “For this reason, other charts have been implemented such as the Cumulative Sum (CUSUM) (Page, 1954) and the Exponentially Weighted Moving Average (EWMA) charts (Roberts, 1959).”
A new synthetic control chart for monitoring process mean using auxiliary information (2016, methodology): “The EWMA control chart was first introduced by Roberts [17] for monitoring the process mean.”
Realtime performance-based facial animation (2011, methodology): “The filter is based on a sliding window that dynamically adapts the smoothing coefficients in the spirit of the exponentially weighted moving average method [Roberts 1959] to reduce high frequency noise while avoiding disturbing temporal lags.”
Fast initial response features for EWMA control charts (2005, methodology): “Roberts (1959) introduced the EWMA control chart for monitoring the”
Combined Shewhart–EWMA control charts with estimated parameters (2010, background): “However, if one is interested in detecting small and moderate-sized sustained shifts, other types of control charts may be preferred, for example the exponentially weighted moving average, EWMA [3].”
EWMA Monitoring of Correlated Processes of Poisson Counts (2009, methodology): “The variables EWMA chart was introduced by Roberts [11].”
Economic Design of EWMA Charts with Variable Sampling Intervals (2006, methodology): “The exponentially weighted moving average (EWMA) chart was first introduced by Roberts (1959) and has been shown to be effective for detecting small shifts in”