Autoregressive operator (source code)

= Autoregressive operator
{title2=$\Phi(B)$}

The autoregressive operator acts as $\Phi(B)X_t=X_t-\sum_{j=1}^pa_jX_{t-j}$. Its coefficients are encoded by the <autoregressive polynomial>. An <ARMA> equation equates this filtered observation to the noise filtered by the <moving-average operator>.