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A window is a fixed-length subset of consecutive observations of a time series. The window is moved along the time series at a constant rate. AKA "rolling window".

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Detrending using moving average

\begin{eqnarray} \Delta^2(x_{t+1})&=&\Delta(\Delta(x_{t+1}))\\ &=&\Delta(x_{t+1}-x_t)\\ &=&\Delta(x_{t+1})-\Delta(x_t)\qquad\text{(by linearity of }\Delta \text{ operator)}\\ &=&(x_{t+1}-x_t)-(x_{t}-x …
Glen_b's user avatar
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2 votes

Tuning an exponential moving average to a moving window mean?

If I understand the question correctly, the issue is one of trying to make an exponentially decreasing weight series fit to a discrete uniform (constant weight with cutoff): Clearly either an EWMA …
Glen_b's user avatar
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