Definition:Forward Shift Operator/Iterated

Definition
Let $T = \sequence {z_t}$ be a discrete time series.

Let $F$ denote the forward shift operator on $\sequence {z_t}$:
 * $\forall t: \map F {z_t} = z_{t + 1}$

$F$ can be iterated on $\sequence {z_t}$ as follows:


 * $\map {F^m} {z_t} := z_{t + m}$