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Methodological analysis evaluates geometric moving average control charts, demonstrating distinct performance characteristics over standard moving averages in statistical process monitoring.
A geometrical moving average gives the most recent observation the greatest weight, and all previous observations weights decreasing in geometric progression from the most recent back to the first. A graphical procedure for generating geometric moving averages is described in which the most recent observation is assigned a weight r. The properties of control chart tests based on geometric moving averages are compared to tests based on ordinary moving averages.
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S. W. Roberts (1959) studied this question.
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