<P> Setting the initial value b is a matter of preference . An option other than the one listed above is (x - x) / n for some n> 1 . </P> <P> Note that F is undefined (there is no estimation for time 0), and according to the definition F = s + b, which is well defined, thus further values can be evaluated . </P> <P> A second method, referred to as either Brown's linear exponential smoothing (LES) or Brown's double exponential smoothing works as follows . </P> <Dl> <Dd> s 0 ′ = x 0 s 0" = x 0 s t ′ = α x t + (1 − α) s t − 1 ′ s t" = α s t ′ + (1 − α) s t − 1" F t + m = a t + m b t, (\ displaystyle (\ begin (aligned) s'_ (0) & = x_ (0) \ \ s' ' _ (0) & = x_ (0) \ \ s'_ (t) & = \ alpha x_ (t) + (1 - \ alpha) s'_ (t - 1) \ \ s' ' _ (t) & = \ alpha s'_ (t) + (1 - \ alpha) s' ' _ (t - 1) \ \ F_ (t + m) & = a_ (t) + mb_ (t), \ end (aligned))) </Dd> </Dl>

What are the advantages to using exponential smoothing