Definition:Backward Shift Operator

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

The backward shift operator $B$ is defined as:

$\forall t: \map B {z_t} = z_{t - 1}$

Also see


$1$: Introduction:
$1.2$ Stochastic and Deterministic Dynamic Mathematical Models
$1.2.1$ Stationary and Nonstationary Stochastic Models for Forecasting and Control: Some simple operators