... PRESTO¹

PRESTO is an acronym for PREdictive STOrage.

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.... ²

While not essential for our discussion, we present the general Box-Jenkins seasonal model for sake of completeness. The general model of order $(p, d, q) \times (P, D, Q)_S$ is given by the equation

$$\Phi_P(B^S)\cdot \phi_p(B)\cdot (1-B)^d(1-B^S)^DX_t = \theta_q(B)\Theta_Q(B^S)e_t$$ (1)

where $B$ is the backward operator such that $B^iX_t = X_{t-i}$, $S$ is the seasonal period, $\theta$, $\Theta$ are parameters of the model, and $e_t$ is the prediction error.

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... day.³

Since the seasonal period is set to one day, this amounts to a retraining after each season.

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