The moving average is not defined beyond the series and therefore cannot be used for forecasting.

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 To better reveal the structure of  The moving average the series. Since the series is “High-frequency”. There are a lot of points.

Smoothing a time series with a window size of 5 points

The moving average method has certain disadvantages:

The moving average is inefficient germany phone number list  to calculate. For each point. The average must be recalculated. We cannot reuse the result calculated for the previous point.

The moving average cannot be extended to the first and last points of the series. This can cause a problem if we are interested in these points.

Exponential smoothing

A more advanced smoothing method that can also be used for forecasting is exponential smoothing. Also sometimes called the holt-winters method after its creators.

There are several variations of this method:

Single smoothing for why is seo important in digital marketing?  series that have no trend or seasonality;

Double smoothing for series that have a trend but no seasonality;

Triple smoothing for series that have both trend and seasonality.

The exponential smoothing method calculates the values of the smoothed series by updating the values calculated at the .

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