This smoothing method can be used for data which contains linear trend. This method is often called as Brown’s one-parameter linear method.
The following equations are used in double exponential smoothing with Browns method:
Single smoothing statistic equation:

Double smoothing statistic equation:


The procedure to calculate forecasting m forward period with double exponential smoothing with Brown method can be calculated from this equation:

This equation is similar to linear trend method, where:



The smoothing statistic equation above can be solved if the estimation value for
is defined. Starting value
is defined as:


We can use linear trend model constant calculated with the least squares estimation method to estimate the coefficient of
,
and
.