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# Equivalence of moving average and exponentially weighted moving average control charts.

9.39.
Equivalence of moving average and exponentially weighted moving average control charts. Show that if l = 2/(w + 1) for the EWMA control chart, then this chart is equivalent to a w-period moving average control chart in the sense that the control limits are identical in the steady state.

page 446 in the book ( in the attachment)

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In the EWMA control chart variance
Hence control limits are The term goes to unity as gets larger and larger because 0 &lt; λ &lt; 1 so asgets larger and larger.
This means the EWMA control chart...

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