Adjusted Exponential Smoothing
Adjusted exponential smoothing models have all the features of simple exponential smoothing models,
plus they project into the future (for example, to time period t + 1) by adding a trend correction
increment, Tt, to the current period smoothed average, Ft
Ft+1ï€ = FtTt
The components of a trend-adjusted forecast that utilizes a second smoothing coefficient Î²ï€ . The Î²ï€ value determines the extent to which the trend adjustment relies on the latest difference in forecast amounts (    F t -F t-1ï€ ï€ ) versus the previous trend Tt–1
A low Î²ï€ ï€ gives more smoothing of the trend and may be useful if the trend is not well-established. A high Î²ï€ ï€ will emphasize the latest trend and be more responsive to recent changes in trend. The initial trend adjustment Tt–1 is sometimes assumed to be zero.
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